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101330310132 = 22325353108129
BaseRepresentation
bin101111001011111000…
…0011101001111110100
3100200112212212002200100
41132113300131033310
53130011024411012
6114314524114100
710215026265462
oct1362760351764
9320485762610
10101330310132
1139a79355867
121777b395930
13972b2ca8bc
144c939d1832
152980e158dc
hex1797c1d3f4

101330310132 has 36 divisors (see below), whose sum is σ = 260973350820. Its totient is φ = 33139471872.

The previous prime is 101330310119. The next prime is 101330310149. The reversal of 101330310132 is 231013033101.

It is a happy number.

101330310132 is a `hidden beast` number, since 10 + 1 + 330 + 310 + 13 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 89967602916 + 11362707216 = 299946^2 + 106596^2 .

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

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 11 ways as a sum of consecutive naturals, for example, 26552157 + ... + 26555972.

It is an arithmetic number, because the mean of its divisors is an integer number (7249259745).

Almost surely, 2101330310132 is an apocalyptic number.

101330310132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101330310132 is an abundant number, since it is smaller than the sum of its proper divisors (159643040688).

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

101330310132 is a wasteful number, since it uses less digits than its factorization.

101330310132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53108192 (or 53108187 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 101330310132 its reverse (231013033101), we get a palindrome (332343343233).

The spelling of 101330310132 in words is "one hundred one billion, three hundred thirty million, three hundred ten thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 53108129 106216258 159324387 212432516 318648774 477973161 637297548 955946322 1911892644 2814730837 5629461674 8444192511 11258923348 16888385022 25332577533 33776770044 50665155066 101330310132