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100212111220 = 225132741140617
BaseRepresentation
bin101110101010100011…
…0110111011101110100
3100120122221202201010211
41131111012313131310
53120213300024340
6114011541155204
710145230614364
oct1352506673564
9316587681124
10100212111220
1139555140431
12175089bbb04
1395b0747540
144bc92b69a4
152917b875ea
hex17551b7774

100212111220 has 48 divisors (see below), whose sum is σ = 226717838928. Its totient is φ = 36987632640.

The previous prime is 100212111211. The next prime is 100212111239. The reversal of 100212111220 is 22111212001.

It can be written as a sum of positive squares in 8 ways, for example, as 15756776676 + 84455334544 = 125526^2 + 290612^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 100212111220.

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, 642352 + ... + 782968.

It is an arithmetic number, because the mean of its divisors is an integer number (4723288311).

Almost surely, 2100212111220 is an apocalyptic number.

100212111220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100212111220 is an abundant number, since it is smaller than the sum of its proper divisors (126505727708).

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

100212111220 is a wasteful number, since it uses less digits than its factorization.

100212111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143380 (or 143378 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100212111220 its reverse (22111212001), we get a palindrome (122323323221).

The spelling of 100212111220 in words is "one hundred billion, two hundred twelve million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 2741 5482 10964 13705 27410 35633 54820 71266 140617 142532 178165 281234 356330 562468 703085 712660 1406170 1828021 2812340 3656042 7312084 9140105 18280210 36560420 385431197 770862394 1541724788 1927155985 3854311970 5010605561 7708623940 10021211122 20042422244 25053027805 50106055610 100212111220