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100001011000220 = 225111222793717319
BaseRepresentation
bin10110101111001101001100…
…101111001110001110011100
3111010002000002101200122212022
4112233031030233032032130
5101101404032304001340
6552403455155555312
730030556163406611
oct2657151457161634
9433060071618768
10100001011000220
1129955210763650
12b270a482bbb38
1343a5093735025
141a9a1091c4508
15b863c84253b5
hex5af34cbce39c

100001011000220 has 48 divisors (see below), whose sum is σ = 229095160358400. Its totient is φ = 36363696832320.

The previous prime is 100001011000169. The next prime is 100001011000291. The reversal of 100001011000220 is 22000110100001.

It is a super-2 number, since 2×1000010110002202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100001011000198 and 100001011000207.

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, 25042721 + ... + 28760039.

It is an arithmetic number, because the mean of its divisors is an integer number (4772815840800).

Almost surely, 2100001011000220 is an apocalyptic number.

100001011000220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100001011000220 is an abundant number, since it is smaller than the sum of its proper divisors (129094149358180).

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

100001011000220 is a wasteful number, since it uses less digits than its factorization.

100001011000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3839618 (or 3839616 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100001011000220 its reverse (22000110100001), we get a palindrome (122001121100221).

The spelling of 100001011000220 in words is "one hundred trillion, one billion, eleven million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 122279 244558 489116 611395 1222790 1345069 2445580 2690138 3717319 5380276 6725345 7434638 13450690 14869276 18586595 26901380 37173190 40890509 74346380 81781018 163562036 204452545 408905090 817810180 454550050001 909100100002 1818200200004 2272750250005 4545500500010 5000050550011 9091001000020 10000101100022 20000202200044 25000252750055 50000505500110 100001011000220