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10203130112 = 28719417309
BaseRepresentation
bin10011000000010011…
…10110100100000000
3222100001222201020212
421200021312210000
5131344000130422
64404240253252
7510562114010
oct114011664400
928301881225
1010203130112
11436644573a
121b89011228
13c67acc3c6
146cb11bc40
153eab349e2
hex260276900

10203130112 has 144 divisors (see below), whose sum is σ = 25101955200. Its totient is φ = 4041031680.

The previous prime is 10203130111. The next prime is 10203130121. The reversal of 10203130112 is 21103130201.

It is a super-2 number, since 2×102031301122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (10203130111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1392314 + ... + 1399622.

Almost surely, 210203130112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10203130112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12550977600).

10203130112 is an abundant number, since it is smaller than the sum of its proper divisors (14898825088).

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

10203130112 is an equidigital number, since it uses as much as digits as its factorization.

10203130112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7392 (or 7378 counting only the distinct ones).

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

Adding to 10203130112 its reverse (21103130201), we get a palindrome (31306260313).

The spelling of 10203130112 in words is "ten billion, two hundred three million, one hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 41 56 64 76 82 112 128 133 152 164 224 256 266 287 304 328 448 532 574 608 656 779 896 1064 1148 1216 1312 1558 1792 2128 2296 2432 2624 3116 4256 4592 4864 5248 5453 6232 7309 8512 9184 10496 10906 12464 14618 17024 18368 21812 24928 29236 34048 36736 43624 49856 51163 58472 73472 87248 99712 102326 116944 138871 174496 199424 204652 233888 277742 299669 348992 409304 467776 555484 599338 697984 818608 935552 972097 1110968 1198676 1395968 1637216 1871104 1944194 2097683 2221936 2397352 3274432 3888388 4195366 4443872 4794704 5693711 6548864 7776776 8390732 8887744 9589408 11387422 13097728 15553552 16781464 17775488 19178816 22774844 31107104 33562928 35550976 38357632 39855977 45549688 62214208 67125856 76715264 79711954 91099376 124428416 134251712 159423908 182198752 248856832 268503424 318847816 364397504 537006848 637695632 728795008 1275391264 1457590016 2550782528 5101565056 10203130112