Search a number
-
+
100111001221112 = 2371820279821051
BaseRepresentation
bin10110110000110011101000…
…101010100111011111111000
3111010110111222210200210211012
4112300303220222213133320
5101110204312303033422
6552530205320053052
730041531636020550
oct2660635052473770
9433414883623735
10100111001221112
1129997923334552
12b28a223904188
1343b2571bb9a7b
141aa1580d80160
15b891b473a4e2
hex5b0ce8aa77f8

100111001221112 has 32 divisors (see below), whose sum is σ = 214524774414720. Its totient is φ = 42904474735200.

The previous prime is 100111001221103. The next prime is 100111001221117. The reversal of 100111001221112 is 211122100111001.

It is a super-2 number, since 2×1001110012211122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111001221117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5282987 + ... + 15104037.

It is an arithmetic number, because the mean of its divisors is an integer number (6703899200460).

Almost surely, 2100111001221112 is an apocalyptic number.

It is an amenable number.

100111001221112 is an abundant number, since it is smaller than the sum of its proper divisors (114413773193608).

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

100111001221112 is a wasteful number, since it uses less digits than its factorization.

100111001221112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10003091 (or 10003087 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 100111001221112 its reverse (211122100111001), we get a palindrome (311233101332113).

The spelling of 100111001221112 in words is "one hundred trillion, one hundred eleven billion, one million, two hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 28 56 182027 364054 728108 1274189 1456216 2548378 5096756 9821051 10193512 19642102 39284204 68747357 78568408 137494714 274989428 549978856 1787696450377 3575392900754 7150785801508 12513875152639 14301571603016 25027750305278 50055500610556 100111001221112