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1021201013300 = 2252137337511427
BaseRepresentation
bin11101101110001000101…
…00101101101000110100
310121121220020212111020212
432313010110231220310
5113212404424411200
62101044441444552
7133531212251306
oct16670424555064
93547806774225
101021201013300
113640a8392a96
12145aba1a0758
13753b6730c20
14375d8043976
151b86cb6d035
hexedc452da34

1021201013300 has 144 divisors (see below), whose sum is σ = 2394582903552. Its totient is φ = 375779520000.

The previous prime is 1021201013299. The next prime is 1021201013341. The reversal of 1021201013300 is 33101021201.

1021201013300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 715627187 + ... + 715628613.

Almost surely, 21021201013300 is an apocalyptic number.

1021201013300 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 1021201013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197291451776).

1021201013300 is an abundant number, since it is smaller than the sum of its proper divisors (1373381890252).

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

1021201013300 is a wasteful number, since it uses less digits than its factorization.

1021201013300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2938 (or 2931 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1021201013300 its reverse (33101021201), we get a palindrome (1054302034501).

The spelling of 1021201013300 in words is "one trillion, twenty-one billion, two hundred one million, thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 733 751 1300 1427 1466 1502 2854 2932 3004 3665 3755 5708 7135 7330 7510 9529 9763 14270 14660 15020 18325 18551 18775 19058 19526 28540 35675 36650 37102 37550 38116 39052 47645 48815 71350 73300 74204 75100 92755 95290 97630 142700 185510 190580 195260 238225 244075 371020 463775 476450 488150 550483 927550 952900 976300 1045991 1071677 1100966 1855100 2091982 2143354 2201932 2752415 4183964 4286708 5229955 5358385 5504830 7156279 10459910 10716770 11009660 13597883 13762075 13931801 14312558 20919820 21433540 26149775 26791925 27195766 27524150 27863602 28625116 35781395 52299550 53583850 54391532 55048300 55727204 67989415 69659005 71562790 104599100 107167700 135978830 139318010 143125580 178906975 271957660 278636020 339947075 348295025 357813950 679894150 696590050 715627900 785539241 1359788300 1393180100 1571078482 3142156964 3927696205 7855392410 10212010133 15710784820 19638481025 20424020266 39276962050 40848040532 51060050665 78553924100 102120101330 204240202660 255300253325 510600506650 1021201013300