Search a number
-
+
100200112012020 = 22353745135185591
BaseRepresentation
bin10110110010000110101000…
…000101010011101011110100
3111010210001000002101000101110
4112302012220011103223310
5101113134312133341040
6553035143533355020
730051135120161016
oct2662065005235364
9433701002330343
10100200112012020
1129a216a1023699
12b2a3552938a70
1343baaa3723207
141aa59d5b301b6
15b8b67c9bc980
hex5b21a8153af4

100200112012020 has 48 divisors (see below), whose sum is σ = 288143024819328. Its totient is φ = 25997866899840.

The previous prime is 100200112011977. The next prime is 100200112012109. The reversal of 100200112012020 is 20210211002001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100200112011987 and 100200112012005.

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, 22567590576 + ... + 22567595015.

It is an arithmetic number, because the mean of its divisors is an integer number (6002979683736).

Almost surely, 2100200112012020 is an apocalyptic number.

100200112012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100200112012020 is an abundant number, since it is smaller than the sum of its proper divisors (187942912807308).

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

100200112012020 is a wasteful number, since it uses less digits than its factorization.

100200112012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45135185640 (or 45135185638 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100200112012020 its reverse (20210211002001), we get a palindrome (120410323014021).

The spelling of 100200112012020 in words is "one hundred trillion, two hundred billion, one hundred twelve million, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 45135185591 90270371182 135405556773 180540742364 225675927955 270811113546 451351855910 541622227092 677027783865 902703711820 1354055567730 1670001866867 2708111135460 3340003733734 5010005600601 6680007467468 8350009334335 10020011201202 16700018668670 20040022402404 25050028003005 33400037337340 50100056006010 100200112012020