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10124203120 = 245177444267
BaseRepresentation
bin10010110110111001…
…10001010001110000
3222010120110210202221
421123130301101300
5131213243444440
64352340450424
7505613210113
oct113334612160
928116423687
1010124203120
114325937719
121b666a9a14
13c54656545
146c085457a
153e3c43d4a
hex25b731470

10124203120 has 40 divisors (see below), whose sum is σ = 24923409264. Its totient is φ = 3811464192.

The previous prime is 10124203009. The next prime is 10124203183. The reversal of 10124203120 is 2130242101.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×101242031203 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10124203094 and 10124203103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3720774 + ... + 3723493.

Almost surely, 210124203120 is an apocalyptic number.

10124203120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10124203120 is an abundant number, since it is smaller than the sum of its proper divisors (14799206144).

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

10124203120 is a wasteful number, since it uses less digits than its factorization.

10124203120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7444297 (or 7444291 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10124203120 its reverse (2130242101), we get a palindrome (12254445221).

The spelling of 10124203120 in words is "ten billion, one hundred twenty-four million, two hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 7444267 14888534 29777068 37221335 59554136 74442670 119108272 126552539 148885340 253105078 297770680 506210156 595541360 632762695 1012420312 1265525390 2024840624 2531050780 5062101560 10124203120