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1017042012 = 2232715112671
BaseRepresentation
bin111100100111101…
…101010001011100
32121212202002100200
4330213231101130
54040330321022
6244530423500
734126500030
oct7447552134
92555662320
101017042012
11482103798
12244731b90
1313292610c
14991061c0
155e44abac
hex3c9ed45c

1017042012 has 72 divisors (see below), whose sum is σ = 2941166592. Its totient is φ = 290282400.

The previous prime is 1017042001. The next prime is 1017042029. The reversal of 1017042012 is 2102407101.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 379437 + ... + 382107.

It is an arithmetic number, because the mean of its divisors is an integer number (40849536).

Almost surely, 21017042012 is an apocalyptic number.

1017042012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1017042012 is an abundant number, since it is smaller than the sum of its proper divisors (1924124580).

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

1017042012 is a wasteful number, since it uses less digits than its factorization.

1017042012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4199 (or 4194 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 1017042012 is about 31891.0961241535. The cubic root of 1017042012 is about 1005.6487027447.

Adding to 1017042012 its reverse (2102407101), we get a palindrome (3119449113).

The spelling of 1017042012 in words is "one billion, seventeen million, forty-two thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 1511 2671 3022 4533 5342 6044 8013 9066 10577 10684 13599 16026 18132 18697 21154 24039 27198 31731 32052 37394 42308 48078 54396 56091 63462 74788 95193 96156 112182 126924 168273 190386 224364 336546 380772 673092 4035881 8071762 12107643 16143524 24215286 28251167 36322929 48430572 56502334 72645858 84753501 113004668 145291716 169507002 254260503 339014004 508521006 1017042012