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10203102012 = 223101151197283
BaseRepresentation
bin10011000000010011…
…01111101100111100
3222100001221021201010
421200021233230330
5131343443231022
64404235515220
7510561636045
oct114011575474
928301837633
1010203102012
114366426614
121b88bb8b10
13c67abc68c
146cb1118cc
153eab2b50c
hex26026fb3c

10203102012 has 96 divisors (see below), whose sum is σ = 24410985984. Its totient is φ = 3316320000.

The previous prime is 10203102001. The next prime is 10203102067. The reversal of 10203102012 is 21020130201.

10203102012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36053223 + ... + 36053505.

It is an arithmetic number, because the mean of its divisors is an integer number (254281104).

Almost surely, 210203102012 is an apocalyptic number.

10203102012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10203102012 is an abundant number, since it is smaller than the sum of its proper divisors (14207883972).

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

10203102012 is a wasteful number, since it uses less digits than its factorization.

10203102012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10203102012 its reverse (21020130201), we get a palindrome (31223232213).

The spelling of 10203102012 in words is "ten billion, two hundred three million, one hundred two thousand, twelve".

Divisors: 1 2 3 4 6 12 101 151 197 202 283 302 303 394 404 453 566 591 604 606 788 849 906 1132 1182 1212 1698 1812 2364 3396 15251 19897 28583 29747 30502 39794 42733 45753 55751 57166 59494 59691 61004 79588 85466 85749 89241 91506 111502 114332 118988 119382 128199 167253 170932 171498 178482 183012 223004 238764 256398 334506 342996 356964 512796 669012 3004447 4316033 5630851 6008894 8418401 8632066 9013341 11261702 12017788 12948099 16836802 16892553 17264132 18026682 22523404 25255203 25896198 33673604 33785106 36053364 50510406 51792396 67570212 101020812 850258501 1700517002 2550775503 3401034004 5101551006 10203102012