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101099236881132 = 22327219291273792161
BaseRepresentation
bin10110111111001100000000…
…000110011111001011101100
3111020221222210122102211201200
4112333030000012133023230
5101222402214120144012
6555004203120005500
730203115223361400
oct2677140006371354
9436858718384650
10101099236881132
112a238a44627716
12b409861a60890
134454803ab2399
141ad732cbd1100
15ba4c532813dc
hex5bf30019f2ec

101099236881132 has 864 divisors, whose sum is σ = 327277956096000. Its totient is φ = 26132271943680.

The previous prime is 101099236881107. The next prime is 101099236881173. The reversal of 101099236881132 is 231188632990101.

It is a happy number.

101099236881132 is a `hidden beast` number, since 1 + 0 + 109 + 92 + 368 + 81 + 13 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 46783542132 + ... + 46783544292.

Almost surely, 2101099236881132 is an apocalyptic number.

101099236881132 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 101099236881132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163638978048000).

101099236881132 is an abundant number, since it is smaller than the sum of its proper divisors (226178719214868).

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

101099236881132 is a wasteful number, since it uses less digits than its factorization.

101099236881132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2739 (or 2727 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 101099236881132 in words is "one hundred one trillion, ninety-nine billion, two hundred thirty-six million, eight hundred eighty-one thousand, one hundred thirty-two".