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101143497924 = 22327192337103241
BaseRepresentation
bin101111000110010011…
…1110100110011000100
3100200001212100001111200
41132030213310303010
53124120213413144
6114244212102500
710210300355460
oct1361447646304
9320055301450
10101143497924
1139992960007
1217728904a30
1396cb6b0131
144c76c834a0
15296e813c69
hex178c9f4cc4

101143497924 has 576 divisors, whose sum is σ = 334198824960. Its totient is φ = 25127055360.

The previous prime is 101143497919. The next prime is 101143497929. The reversal of 101143497924 is 429794341101.

101143497924 is a `hidden beast` number, since 10 + 1 + 143 + 497 + 9 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (101143497919) and next prime (101143497929).

It is a self number, because there is not a number n which added to its sum of digits gives 101143497924.

It is not an unprimeable number, because it can be changed into a prime (101143497929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 419682444 + ... + 419682684.

Almost surely, 2101143497924 is an apocalyptic number.

101143497924 is a gapful number since it is divisible by the number (14) 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 101143497924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167099412480).

101143497924 is an abundant number, since it is smaller than the sum of its proper divisors (233055327036).

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

101143497924 is a wasteful number, since it uses less digits than its factorization.

101143497924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 101143497924 in words is "one hundred one billion, one hundred forty-three million, four hundred ninety-seven thousand, nine hundred twenty-four".