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101652042132 = 223215118699787
BaseRepresentation
bin101111010101011101…
…1110001000110010100
3100201101022020210000100
41132222323301012110
53131140410322012
6114410500014100
710226014046604
oct1365273610624
9321338223010
10101652042132
113a123a22883
121784b091330
13977cb67274
144cc4620c04
15299e2b88dc
hex17aaef1194

101652042132 has 36 divisors (see below), whose sum is σ = 258655467616. Its totient is φ = 33659614800.

The previous prime is 101652042091. The next prime is 101652042137. The reversal of 101652042132 is 231240256101.

101652042132 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 520 + 4 + 2 + 132 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 101652042096 and 101652042105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101652042137) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9344458 + ... + 9355329.

Almost surely, 2101652042132 is an apocalyptic number.

101652042132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101652042132 is an abundant number, since it is smaller than the sum of its proper divisors (157003425484).

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

101652042132 is a wasteful number, since it uses less digits than its factorization.

101652042132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18699948 (or 18699943 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 101652042132 its reverse (231240256101), we get a palindrome (332892298233).

The spelling of 101652042132 in words is "one hundred one billion, six hundred fifty-two million, forty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 151 302 453 604 906 1359 1812 2718 5436 18699787 37399574 56099361 74799148 112198722 168298083 224397444 336596166 673192332 2823667837 5647335674 8471003511 11294671348 16942007022 25413010533 33884014044 50826021066 101652042132