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100232001220 = 225132411599617
BaseRepresentation
bin101110101011001001…
…0101111011011000100
3100120201100012020002111
41131112102233123010
53120233343014340
6114013531350404
710145561644621
oct1352622573304
9316640166074
10100232001220
113956539604a
12175135b2404
1395b48bc880
144bcbbb3348
1529197b5aea
hex17564af6c4

100232001220 has 48 divisors (see below), whose sum is σ = 227619242928. Its totient is φ = 36855152640.

The previous prime is 100232001209. The next prime is 100232001271. The reversal of 100232001220 is 22100232001.

It can be written as a sum of positive squares in 8 ways, for example, as 415181376 + 99816819844 = 20376^2 + 315938^2 .

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 100232001220.

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, 737149 + ... + 862468.

It is an arithmetic number, because the mean of its divisors is an integer number (4742067561).

Almost surely, 2100232001220 is an apocalyptic number.

100232001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100232001220 is an abundant number, since it is smaller than the sum of its proper divisors (127387241708).

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

100232001220 is a wasteful number, since it uses less digits than its factorization.

100232001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1599880 (or 1599878 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 100232001220 its reverse (22100232001), we get a palindrome (122332233221).

The spelling of 100232001220 in words is "one hundred billion, two hundred thirty-two million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 241 260 482 964 1205 2410 3133 4820 6266 12532 15665 31330 62660 1599617 3199234 6398468 7998085 15996170 20795021 31992340 41590042 83180084 103975105 207950210 385507697 415900420 771015394 1542030788 1927538485 3855076970 5011600061 7710153940 10023200122 20046400244 25058000305 50116000610 100232001220