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10012103033031 = 3311127341377773
BaseRepresentation
bin1001000110110001111111…
…0110000100000011000111
31022110010222200020000221000
42101230133312010003013
52303014241334024111
633143255135024343
72052231150415011
oct221543766040307
938403880200830
1010012103033031
113210122168960
1211584b506b0b3
135781a2756228
142688346cb1b1
15125687766c56
hex91b1fd840c7

10012103033031 has 64 divisors (see below), whose sum is σ = 16313575587840. Its totient is φ = 6018320891520.

The previous prime is 10012103033021. The next prime is 10012103033081. The reversal of 10012103033031 is 13033030121001.

It is a happy number.

It is not a de Polignac number, because 10012103033031 - 211 = 10012103030983 is a prime.

It is a super-2 number, since 2×100121030330312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10012103032995 and 10012103033013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012103033021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 128696061 + ... + 128773833.

It is an arithmetic number, because the mean of its divisors is an integer number (254899618560).

Almost surely, 210012103033031 is an apocalyptic number.

10012103033031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10012103033031 is a deficient number, since it is larger than the sum of its proper divisors (6301472554809).

10012103033031 is a wasteful number, since it uses less digits than its factorization.

10012103033031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81333 (or 81327 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10012103033031 its reverse (13033030121001), we get a palindrome (23045133154032).

The spelling of 10012103033031 in words is "ten trillion, twelve billion, one hundred three million, thirty-three thousand, thirty-one".

Divisors: 1 3 9 11 27 33 99 127 297 381 1143 1397 3413 3429 4191 10239 12573 30717 37543 37719 77773 92151 112629 233319 337887 433451 699957 855503 1013661 1300353 2099871 2566509 3901059 4767961 7699527 9877171 11703177 14303883 23098581 29631513 42911649 88894539 108648881 128734947 265439249 266683617 325946643 796317747 977839929 2388953241 2919831739 2933519787 7166859723 8759495217 26278485651 33710784623 78835456953 101132353869 303397061607 370818630853 910191184821 1112455892559 3337367677677 10012103033031