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10100500992 = 29322191949
BaseRepresentation
bin10010110100000100…
…10110101000000000
3222001220212121120100
421122002112220000
5131141212012432
64350132442400
7505204561521
oct113202265000
928056777510
1010100500992
11431351898a
121b5a779400
13c4c77800a
146bb644848
153e1b1107c
hex25a096a00

10100500992 has 60 divisors (see below), whose sum is σ = 29150743050. Its totient is φ = 3366832128.

The previous prime is 10100500987. The next prime is 10100500999. The reversal of 10100500992 is 29900500101.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 10093015296 + 7485696 = 100464^2 + 2736^2 .

It is not an unprimeable number, because it can be changed into a prime (10100500999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1091367 + ... + 1100582.

Almost surely, 210100500992 is an apocalyptic number.

10100500992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10100500992 is an abundant number, since it is smaller than the sum of its proper divisors (19050242058).

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

10100500992 is an equidigital number, since it uses as much as digits as its factorization.

10100500992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2191973 (or 2191954 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The spelling of 10100500992 in words is "ten billion, one hundred million, five hundred thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 2191949 4383898 6575847 8767796 13151694 17535592 19727541 26303388 35071184 39455082 52606776 70142368 78910164 105213552 140284736 157820328 210427104 280569472 315640656 420854208 561138944 631281312 841708416 1122277888 1262562624 1683416832 2525125248 3366833664 5050250496 10100500992