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120100202100 = 223252133444669
BaseRepresentation
bin110111111011010000…
…1111010011001110100
3102110222222201101221100
41233312201322121310
53431431122431400
6131101232050100
711451123605544
oct1576641723164
9373888641840
10120100202100
1146a3048447a
121b339393930
13b42cb9bb58
145b5478b324
1531cdb9a100
hex1bf687a674

120100202100 has 54 divisors (see below), whose sum is σ = 376447414070. Its totient is φ = 32026720320.

The previous prime is 120100202083. The next prime is 120100202171. The reversal of 120100202100 is 1202001021.

It can be written as a sum of positive squares in 3 ways, for example, as 37684127376 + 82416074724 = 194124^2 + 287082^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 66721435 + ... + 66723234.

Almost surely, 2120100202100 is an apocalyptic number.

120100202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120100202100 is an abundant number, since it is smaller than the sum of its proper divisors (256347211970).

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

120100202100 is a wasteful number, since it uses less digits than its factorization.

120100202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133444689 (or 133444679 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 120100202100 its reverse (1202001021), we get a palindrome (121302203121).

The spelling of 120100202100 in words is "one hundred twenty billion, one hundred million, two hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 133444669 266889338 400334007 533778676 667223345 800668014 1201002021 1334446690 1601336028 2001670035 2402004042 2668893380 3336116725 4003340070 4804008084 6005010105 6672233450 8006680140 10008350175 12010020210 13344466900 20016700350 24020040420 30025050525 40033400700 60050101050 120100202100