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101327424 = 2631147977
BaseRepresentation
bin1100000101000…
…10001001000000
321001122222002120
412002202021000
5201414434144
614015444240
72340161142
oct602421100
9231588076
10101327424
1152218880
1229b26680
1317cb9a73
14d658c92
158d67e19
hex60a2240

101327424 has 56 divisors (see below), whose sum is σ = 292473888. Its totient is φ = 30704640.

The previous prime is 101327407. The next prime is 101327449. The reversal of 101327424 is 424723101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 101327394 and 101327403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21877 + ... + 26100.

It is an arithmetic number, because the mean of its divisors is an integer number (5222748).

Almost surely, 2101327424 is an apocalyptic number.

It is an amenable number.

101327424 is an abundant number, since it is smaller than the sum of its proper divisors (191146464).

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

101327424 is a wasteful number, since it uses less digits than its factorization.

101327424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48003 (or 47993 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 101327424 is about 10066.1523930447. The cubic root of 101327424 is about 466.2036477818.

The spelling of 101327424 in words is "one hundred one million, three hundred twenty-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 47977 95954 143931 191908 287862 383816 527747 575724 767632 1055494 1151448 1535264 1583241 2110988 2302896 3070528 3166482 4221976 4605792 6332964 8443952 9211584 12665928 16887904 25331856 33775808 50663712 101327424