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100133331211032 = 23373372131767523
BaseRepresentation
bin10110110001001000011011…
…101000110001001100011000
3111010112122122000111211100220
4112301020123220301030120
5101111041030242223112
6552544341201200040
730043252202553150
oct2661103350611430
9433478560454326
10100133331211032
11299a6341aa8479
12b292616030020
1343b46c020a062
141aa269c89d760
15b89a6eced98c
hex5b121ba31318

100133331211032 has 64 divisors (see below), whose sum is σ = 286096242305280. Its totient is φ = 28609422175872.

The previous prime is 100133331211027. The next prime is 100133331211159. The reversal of 100133331211032 is 230112133331001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 100133331210993 and 100133331211011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55768023 + ... + 57535545.

It is an arithmetic number, because the mean of its divisors is an integer number (4470253786020).

Almost surely, 2100133331211032 is an apocalyptic number.

100133331211032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100133331211032 is an abundant number, since it is smaller than the sum of its proper divisors (185962911094248).

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

100133331211032 is a wasteful number, since it uses less digits than its factorization.

100133331211032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2104752 (or 2104748 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 100133331211032 its reverse (230112133331001), we get a palindrome (330245464542033).

The spelling of 100133331211032 in words is "one hundred trillion, one hundred thirty-three billion, three hundred thirty-one million, two hundred eleven thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 337213 674426 1011639 1348852 1767523 2023278 2360491 2697704 3535046 4046556 4720982 5302569 7070092 7081473 8093112 9441964 10605138 12372661 14140184 14162946 18883928 21210276 24745322 28325892 37117983 42420552 49490644 56651784 74235966 98981288 148471932 296943864 596031733399 1192063466798 1788095200197 2384126933596 3576190400394 4172222133793 4768253867192 7152380800788 8344444267586 12516666401379 14304761601576 16688888535172 25033332802758 33377777070344 50066665605516 100133331211032