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1024431022212 = 22313149415910597
BaseRepresentation
bin11101110100001001101…
…10001110000010000100
310121221020100200221111120
432322010312032002010
5113241013320202322
62102341144033540
7134004233005023
oct16720466160204
93557210627446
101024431022212
11365505672544
1214665ba628b0
13757ac9787c0
14378230008ba
151b9ab4e7a5c
hexee84d8e084

1024431022212 has 96 divisors (see below), whose sum is σ = 2592355584000. Its totient is φ = 312989225472.

The previous prime is 1024431022193. The next prime is 1024431022261. The reversal of 1024431022212 is 2122201344201.

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, 96666498 + ... + 96677094.

It is an arithmetic number, because the mean of its divisors is an integer number (27003704000).

Almost surely, 21024431022212 is an apocalyptic number.

1024431022212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1024431022212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296177792000).

1024431022212 is an abundant number, since it is smaller than the sum of its proper divisors (1567924561788).

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

1024431022212 is a wasteful number, since it uses less digits than its factorization.

1024431022212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14925 (or 14923 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1024431022212 its reverse (2122201344201), we get a palindrome (3146632366413).

The spelling of 1024431022212 in words is "one trillion, twenty-four billion, four hundred thirty-one million, twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 149 156 298 447 596 894 1788 1937 3874 4159 5811 7748 8318 10597 11622 12477 16636 21194 23244 24954 31791 42388 49908 54067 63582 108134 127164 137761 162201 216268 275522 324402 413283 551044 619691 648804 826566 1239382 1578953 1653132 1859073 2478764 3157906 3718146 4736859 6315812 7436292 8055983 9473718 16111966 18947436 20526389 24167949 32223932 41052778 44072923 48335898 61579167 82105556 88145846 96671796 123158334 132218769 176291692 246316668 264437538 528875076 572947999 1145895998 1718843997 2291791996 3437687994 6566865527 6875375988 13133731054 19700596581 26267462108 39401193162 78802386324 85369251851 170738503702 256107755553 341477007404 512215511106 1024431022212