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100142441120 = 255625890257
BaseRepresentation
bin101110101000011110…
…1000110001010100000
3100120111002200002201202
41131100331012022200
53120042431103440
6114001012020332
710143423463511
oct1352075061240
9316432602652
10100142441120
1139519885237
12174a96016a8
13959c192c27
144bbdd3ca08
1529119c4615
hex1750f462a0

100142441120 has 24 divisors (see below), whose sum is σ = 236586517524. Its totient is φ = 40056976384.

The previous prime is 100142441099. The next prime is 100142441207. The reversal of 100142441120 is 21144241001.

It can be written as a sum of positive squares in 2 ways, for example, as 94905892624 + 5236548496 = 308068^2 + 72364^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 100142441092 and 100142441101.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 312944969 + ... + 312945288.

Almost surely, 2100142441120 is an apocalyptic number.

100142441120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100142441120 is an abundant number, since it is smaller than the sum of its proper divisors (136444076404).

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

100142441120 is an equidigital number, since it uses as much as digits as its factorization.

100142441120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625890272 (or 625890264 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 100142441120 its reverse (21144241001), we get a palindrome (121286682121).

The spelling of 100142441120 in words is "one hundred billion, one hundred forty-two million, four hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 625890257 1251780514 2503561028 3129451285 5007122056 6258902570 10014244112 12517805140 20028488224 25035610280 50071220560 100142441120