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100011031300 = 225231103331231
BaseRepresentation
bin101110100100100011…
…1110011101100000100
3100120010221101210100101
41131021013303230010
53114310311000200
6113535555253444
710140236511505
oct1351107635404
9316127353311
10100011031300
1139461690084
12174715aa284
13957aba283b
144baa6d2bac
1529051b826a
hex17491f3b04

100011031300 has 72 divisors (see below), whose sum is σ = 224248758272. Its totient is φ = 38675232000.

The previous prime is 100011031247. The next prime is 100011031391. The reversal of 100011031300 is 3130110001.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 3186685 + ... + 3217915.

Almost surely, 2100011031300 is an apocalyptic number.

100011031300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100011031300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112124379136).

100011031300 is an abundant number, since it is smaller than the sum of its proper divisors (124237726972).

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

100011031300 is a wasteful number, since it uses less digits than its factorization.

100011031300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32309 (or 32302 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 100011031300 its reverse (3130110001), we get a palindrome (103141141301).

The spelling of 100011031300 in words is "one hundred billion, eleven million, thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 1033 1550 2066 3100 4132 5165 10330 20660 25825 31231 32023 51650 62462 64046 103300 124924 128092 156155 160115 312310 320230 624620 640460 780775 800575 968161 1561550 1601150 1936322 3123100 3202300 3872644 4840805 9681610 19363220 24204025 32261623 48408050 64523246 96816100 129046492 161308115 322616230 645232460 806540575 1000110313 1613081150 2000220626 3226162300 4000441252 5000551565 10001103130 20002206260 25002757825 50005515650 100011031300