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10012012010 = 25711132343487
BaseRepresentation
bin10010101001100001…
…10010110111101010
3221211202100220111122
421110300302313222
5131001033341020
64333252055242
7503051461250
oct112460626752
927752326448
1010012012010
1142785798a0
121b35004522
13c37334a80
146ad9ac5d0
153d8e82125
hex254c32dea

10012012010 has 128 divisors (see below), whose sum is σ = 25249480704. Its totient is φ = 2755272960.

The previous prime is 10012011983. The next prime is 10012012037. The reversal of 10012012010 is 1021021001.

10012012010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10012011983) and next prime (10012012037).

It is a Curzon 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 63 ways as a sum of consecutive naturals, for example, 208487 + ... + 251973.

It is an arithmetic number, because the mean of its divisors is an integer number (197261568).

Almost surely, 210012012010 is an apocalyptic number.

10012012010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10012012010 is an abundant number, since it is smaller than the sum of its proper divisors (15237468694).

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

10012012010 is a wasteful number, since it uses less digits than its factorization.

10012012010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43548.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10012012010 its reverse (1021021001), we get a palindrome (11033033011).

The spelling of 10012012010 in words is "ten billion, twelve million, twelve thousand, ten".

Divisors: 1 2 5 7 10 11 13 14 22 23 26 35 46 55 65 70 77 91 110 115 130 143 154 161 182 230 253 286 299 322 385 455 506 598 715 770 805 910 1001 1265 1430 1495 1610 1771 2002 2093 2530 2990 3289 3542 4186 5005 6578 8855 10010 10465 16445 17710 20930 23023 32890 43487 46046 86974 115115 217435 230230 304409 434870 478357 565331 608818 956714 1000201 1130662 1522045 2000402 2391785 2826655 3044090 3348499 3957317 4783570 5001005 5653310 6218641 6696998 7001407 7914634 10002010 11002211 12437282 13002613 14002814 16742495 19786585 22004422 26005226 31093205 33484990 35007035 39573170 43530487 55011055 62186410 65013065 70014070 77015477 87060974 91018291 110022110 130026130 143028743 154030954 182036582 217652435 286057486 385077385 435304870 455091455 715143715 770154770 910182910 1001201201 1430287430 2002402402 5006006005 10012012010