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100132121012130 = 23251346998259743
BaseRepresentation
bin10110110001000111010011…
…100000001110011110100010
3111010112112111200022100120100
4112301013103200032132202
5101111031040434342010
6552544021130323230
730043210206206364
oct2661072340163642
9433475450270510
10100132121012130
11299a5880966099
12b292338889516
1343b455958462c
141aa25c5c76d34
15b899ed94b2c0
hex5b11d380e7a2

100132121012130 has 48 divisors (see below), whose sum is σ = 260345478931200. Its totient is φ = 26701697469984.

The previous prime is 100132121012093. The next prime is 100132121012141. The reversal of 100132121012130 is 31210121231001.

100132121012130 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 321 + 210 + 1 + 2 + 130 = 666.

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

It is a Curzon 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, 7993039 + ... + 16252781.

It is an arithmetic number, because the mean of its divisors is an integer number (5423864144400).

Almost surely, 2100132121012130 is an apocalyptic number.

100132121012130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100132121012130 is an abundant number, since it is smaller than the sum of its proper divisors (160213357919070).

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

100132121012130 is a wasteful number, since it uses less digits than its factorization.

100132121012130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8394455 (or 8394452 counting only the distinct ones).

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

Adding to 100132121012130 its reverse (31210121231001), we get a palindrome (131342242243131).

The spelling of 100132121012130 in words is "one hundred trillion, one hundred thirty-two billion, one hundred twenty-one million, twelve thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 134699 269398 404097 673495 808194 1212291 1346990 2020485 2424582 4040970 6061455 8259743 12122910 16519486 24779229 41298715 49558458 74337687 82597430 123896145 148675374 247792290 371688435 743376870 1112579122357 2225158244714 3337737367071 5562895611785 6675474734142 10013212101213 11125791223570 16688686835355 20026424202426 33377373670710 50066060506065 100132121012130