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100343116621632 = 26310316331128739
BaseRepresentation
bin10110110100001011110011…
…110100100110011101000000
3111011021201010022202212200010
4112310023303310212131000
5101123010200323343012
6553224554050424520
730064356654252063
oct2664136364463500
9434251108685603
10100343116621632
1129a77305436475
12b307202892140
1343cb413921901
141aac8c04048da
15b9024c393c3c
hex5b42f3d26740

100343116621632 has 112 divisors (see below), whose sum is σ = 269713349035520. Its totient is φ = 32919761069568.

The previous prime is 100343116621549. The next prime is 100343116621663. The reversal of 100343116621632 is 236126611343001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12340882 + ... + 18787857.

Almost surely, 2100343116621632 is an apocalyptic number.

100343116621632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100343116621632 is an abundant number, since it is smaller than the sum of its proper divisors (169370232413888).

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

100343116621632 is a wasteful number, since it uses less digits than its factorization.

100343116621632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31129020 (or 31129010 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

Adding to 100343116621632 its reverse (236126611343001), we get a palindrome (336469727964633).

The spelling of 100343116621632 in words is "one hundred trillion, three hundred forty-three billion, one hundred sixteen million, six hundred twenty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 163 192 206 309 326 412 489 618 652 824 978 1236 1304 1648 1956 2472 2608 3296 3912 4944 5216 6592 7824 9888 10432 15648 16789 19776 31296 33578 50367 67156 100734 134312 201468 268624 402936 537248 805872 1074496 1611744 3223488 31128739 62257478 93386217 124514956 186772434 249029912 373544868 498059824 747089736 996119648 1494179472 1992239296 2988358944 3206260117 5073984457 5976717888 6412520234 9618780351 10147968914 12825040468 15221953371 19237560702 20295937828 25650080936 30443906742 38475121404 40591875656 51300161872 60887813484 76950242808 81183751312 102600323744 121775626968 153900485616 162367502624 205200647488 243551253936 307800971232 324735005248 487102507872 522620399071 615601942464 974205015744 1045240798142 1567861197213 2090481596284 3135722394426 4180963192568 6271444788852 8361926385136 12542889577704 16723852770272 25085779155408 33447705540544 50171558310816 100343116621632