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101332022132124 = 223272977363116193
BaseRepresentation
bin10111000010100100110011…
…001011101111110110011100
3111021210020122211221211200100
4113002210303023233312130
5101240210440131211444
6555303142135501100
730225665654353500
oct2702446313576634
9437706584854610
10101332022132124
112a31873a856173
12b4469a9227790
13447075152b554
141b046d31c2300
15baad29b03e69
hex5c29332efd9c

101332022132124 has 216 divisors, whose sum is σ = 298369947290688. Its totient is φ = 28912621731840.

The previous prime is 101332022132119. The next prime is 101332022132129. The reversal of 101332022132124 is 421231220233101.

101332022132124 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 320 + 2 + 213 + 2 + 124 = 666.

It is an interprime number because it is at equal distance from previous prime (101332022132119) and next prime (101332022132129).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101332022132129) 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, 6257758972 + ... + 6257775164.

It is an arithmetic number, because the mean of its divisors is an integer number (1381342348568).

Almost surely, 2101332022132124 is an apocalyptic number.

101332022132124 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 101332022132124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149184973645344).

101332022132124 is an abundant number, since it is smaller than the sum of its proper divisors (197037925158564).

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

101332022132124 is a wasteful number, since it uses less digits than its factorization.

101332022132124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20825 (or 20813 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 101332022132124 its reverse (421231220233101), we get a palindrome (522563242365225).

The spelling of 101332022132124 in words is "one hundred one trillion, three hundred thirty-two billion, twenty-two million, one hundred thirty-two thousand, one hundred twenty-four".