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10133230121300 = 225211131496947339
BaseRepresentation
bin1001001101110101001110…
…0101001111000101010100
31022212201122020012122212102
42103131103211033011110
52312010323402340200
633315050332541232
72064046613604026
oct223352345170524
938781566178772
1010133230121300
11325752a25a090
121177a7a321818
135867372b6b20
142706455c4016
151288c66546d5
hex9375394f154

10133230121300 has 144 divisors (see below), whose sum is σ = 25835630788800. Its totient is φ = 3401064883200.

The previous prime is 10133230121269. The next prime is 10133230121303. The reversal of 10133230121300 is 312103233101.

10133230121300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101332301213002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10133230121303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 214033031 + ... + 214080369.

It is an arithmetic number, because the mean of its divisors is an integer number (179414102700).

Almost surely, 210133230121300 is an apocalyptic number.

10133230121300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10133230121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12917815394400).

10133230121300 is an abundant number, since it is smaller than the sum of its proper divisors (15702400667500).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10133230121300 is a wasteful number, since it uses less digits than its factorization.

10133230121300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62346 (or 62339 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 10133230121300 its reverse (312103233101), we get a palindrome (10445333354401).

The spelling of 10133230121300 in words is "ten trillion, one hundred thirty-three billion, two hundred thirty million, one hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 100 110 130 143 220 260 275 286 325 550 572 650 715 1100 1300 1430 2860 3575 7150 14300 14969 29938 47339 59876 74845 94678 149690 164659 189356 194597 236695 299380 329318 374225 389194 473390 520729 615407 658636 748450 778388 823295 946780 972985 1041458 1183475 1230814 1496900 1646590 1945970 2082916 2140567 2366950 2461628 2603645 3077035 3293180 3891940 4116475 4281134 4733900 4864925 5207290 6154070 6769477 8232950 8562268 9729850 10414580 10702835 12308140 13018225 13538954 15385175 16465900 19459700 21405670 26036450 27077908 30770350 33847385 42811340 52072900 53514175 61540700 67694770 107028350 135389540 169236925 214056700 338473850 676947700 708617491 1417234982 2834469964 3543087455 7086174910 7794792401 9212027383 14172349820 15589584802 17715437275 18424054766 31179169604 35430874550 36848109532 38973962005 46060136915 70861749100 77947924010 92120273830 101332301213 155895848020 184240547660 194869810025 202664602426 230300684575 389739620050 405329204852 460601369150 506661506065 779479240100 921202738300 1013323012130 2026646024260 2533307530325 5066615060650 10133230121300