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101131410132 = 2232127112319697
BaseRepresentation
bin101111000101111100…
…1101101101011010100
3100200001000120221011200
41132023321231223110
53124104120111012
6114243101032500
710210062542214
oct1361371555324
9320030527150
10101131410132
11399870542a5
1217724855730
1396c903a1ac
144c75418244
15296d7273dc
hex178be6dad4

101131410132 has 72 divisors (see below), whose sum is σ = 257893149696. Its totient is φ = 33413554944.

The previous prime is 101131410101. The next prime is 101131410161. The reversal of 101131410132 is 231014131101.

It is a happy number.

101131410132 is a `hidden beast` number, since 10 + 113 + 1 + 410 + 132 = 666.

It is a super-3 number, since 3×1011314101323 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5124508 + ... + 5144204.

Almost surely, 2101131410132 is an apocalyptic number.

101131410132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101131410132 is an abundant number, since it is smaller than the sum of its proper divisors (156761739564).

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

101131410132 is a wasteful number, since it uses less digits than its factorization.

101131410132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20957 (or 20952 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 101131410132 its reverse (231014131101), we get a palindrome (332145541233).

The spelling of 101131410132 in words is "one hundred one billion, one hundred thirty-one million, four hundred ten thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 127 254 381 508 762 1123 1143 1524 2246 2286 3369 4492 4572 6738 10107 13476 19697 20214 39394 40428 59091 78788 118182 142621 177273 236364 285242 354546 427863 570484 709092 855726 1283589 1711452 2501519 2567178 5003038 5134356 7504557 10006076 15009114 22119731 22513671 30018228 44239462 45027342 66359193 88478924 90054684 132718386 199077579 265436772 398155158 796310316 2809205837 5618411674 8427617511 11236823348 16855235022 25282852533 33710470044 50565705066 101131410132