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100124211220 = 22511241373641
BaseRepresentation
bin101110100111111011…
…1100011100000010100
3100120102211100221000021
41131033313203200110
53120023244224340
6113555121154524
710143112516225
oct1351767434024
9316384327007
10100124211220
113950a563900
12174a348ba44
13959847c3c7
144bbb75524c
1529100c2e4a
hex174fde3814

100124211220 has 36 divisors (see below), whose sum is σ = 231113164212. Its totient is φ = 36408803200.

The previous prime is 100124211217. The next prime is 100124211223. The reversal of 100124211220 is 22112421001.

It is an interprime number because it is at equal distance from previous prime (100124211217) and next prime (100124211223).

It can be written as a sum of positive squares in 2 ways, for example, as 75165898896 + 24958312324 = 274164^2 + 157982^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100124211194 and 100124211203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100124211223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20684401 + ... + 20689240.

It is an arithmetic number, because the mean of its divisors is an integer number (6419810117).

Almost surely, 2100124211220 is an apocalyptic number.

100124211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100124211220 is an abundant number, since it is smaller than the sum of its proper divisors (130988952992).

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

100124211220 is a wasteful number, since it uses less digits than its factorization.

100124211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41373672 (or 41373659 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100124211220 its reverse (22112421001), we get a palindrome (122236632221).

The spelling of 100124211220 in words is "one hundred billion, one hundred twenty-four million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 41373641 82747282 165494564 206868205 413736410 455110051 827472820 910220102 1820440204 2275550255 4551100510 5006210561 9102201020 10012421122 20024842244 25031052805 50062105610 100124211220