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101053573621 = 72112136121493
BaseRepresentation
bin101111000011101000…
…0110010100111110101
3100122211121010102112221
41132013100302213311
53123424203323441
6114231240442341
710205126126500
oct1360720624765
9318747112487
10101053573621
1139947120600
12177027793b1
1396b5b867a0
144c68d56137
15296699e8d1
hex17874329f5

101053573621 has 72 divisors (see below), whose sum is σ = 141437140152. Its totient is φ = 71490988800.

The previous prime is 101053573613. The next prime is 101053573633. The reversal of 101053573621 is 126375350101.

It can be written as a sum of positive squares in 4 ways, for example, as 11703994225 + 89349579396 = 108185^2 + 298914^2 .

It is not a de Polignac number, because 101053573621 - 23 = 101053573613 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101053573661) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4690951 + ... + 4712443.

Almost surely, 2101053573621 is an apocalyptic number.

101053573621 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101053573621 is a deficient number, since it is larger than the sum of its proper divisors (40383566531).

101053573621 is a wasteful number, since it uses less digits than its factorization.

101053573621 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21603 (or 21585 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 34.

The spelling of 101053573621 in words is "one hundred one billion, fifty-three million, five hundred seventy-three thousand, six hundred twenty-one".

Divisors: 1 7 11 13 49 61 77 91 121 143 427 539 637 671 793 847 1001 1573 2989 4697 5551 5929 7007 7381 8723 11011 21493 32879 38857 51667 61061 77077 95953 150451 236423 279409 361669 427427 671671 1053157 1311073 1654961 1955863 2600653 3073499 4701697 9177511 11584727 13691041 14421803 17043949 18204571 21514493 33808489 64242577 100952621 119307643 127431997 150601451 158639833 187483439 236659423 706668347 835153501 1110478831 1312384073 1656615961 2062317829 7773351817 9186688511 14436224803 101053573621