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133321031300 = 2252431272411013
BaseRepresentation
bin111110000101010001…
…1010111111010000100
3110202010101001010010002
41330022203113322010
54141020141000200
6141125152220432
712426551032232
oct1741243277204
9422111033102
10133321031300
11515a52790a6
1221a08b3a718
13c758c3b802
14664a59b952
1537046bcbd5
hex1f0a8d7e84

133321031300 has 144 divisors (see below), whose sum is σ = 299899471872. Its totient is φ = 51412838400.

The previous prime is 133321031293. The next prime is 133321031303. The reversal of 133321031300 is 3130123331.

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

It is not an unprimeable number, because it can be changed into a prime (133321031303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131609594 + ... + 131610606.

Almost surely, 2133321031300 is an apocalyptic number.

133321031300 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 133321031300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149949735936).

133321031300 is an abundant number, since it is smaller than the sum of its proper divisors (166578440572).

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

133321031300 is a wasteful number, since it uses less digits than its factorization.

133321031300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438 (or 1431 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 133321031300 its reverse (3130123331), we get a palindrome (136451154631).

The spelling of 133321031300 in words is "one hundred thirty-three billion, three hundred twenty-one million, thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 127 172 215 241 254 430 482 508 635 860 964 1013 1075 1205 1270 2026 2150 2410 2540 3175 4052 4300 4820 5065 5461 6025 6350 10130 10363 10922 12050 12700 20260 20726 21844 24100 25325 27305 30607 41452 43559 50650 51815 54610 61214 87118 101300 103630 109220 122428 128651 136525 153035 174236 207260 217795 244133 257302 259075 273050 306070 435590 488266 514604 518150 546100 612140 643255 765175 871180 976532 1036300 1088975 1220665 1286510 1316101 1530350 2177950 2441330 2573020 2632202 3060700 3216275 4355900 4882660 5264404 5531993 6103325 6432550 6580505 10497719 11063986 12206650 12865100 13161010 20995438 22127972 24413300 26322020 27659965 31004891 32902525 41990876 52488595 55319930 62009782 65805050 104977190 110639860 124019564 131610100 138299825 155024455 209954380 262442975 276599650 310048910 524885950 553199300 620097820 775122275 1049771900 1333210313 1550244550 2666420626 3100489100 5332841252 6666051565 13332103130 26664206260 33330257825 66660515650 133321031300