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103235142400 = 2852131240807
BaseRepresentation
bin110000000100101001…
…0110100001100000000
3100212110122010121022121
41200021102310030000
53142411144024100
6115231531214024
710313156142355
oct1401122641400
9325418117277
10103235142400
113a866601505
12180112a7314
139972b33aa0
144dd499662c
152a4327a51a
hex18094b4300

103235142400 has 108 divisors (see below), whose sum is σ = 275178953392. Its totient is φ = 38117560320.

The previous prime is 103235142397. The next prime is 103235142421. The reversal of 103235142400 is 4241532301.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 537204 + ... + 703603.

Almost surely, 2103235142400 is an apocalyptic number.

103235142400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103235142400 is an abundant number, since it is smaller than the sum of its proper divisors (171943810992).

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

103235142400 is a wasteful number, since it uses less digits than its factorization.

103235142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240846 (or 1240827 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 103235142400 its reverse (4241532301), we get a palindrome (107476674701).

The spelling of 103235142400 in words is "one hundred three billion, two hundred thirty-five million, one hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 128 130 160 200 208 256 260 320 325 400 416 520 640 650 800 832 1040 1280 1300 1600 1664 2080 2600 3200 3328 4160 5200 6400 8320 10400 16640 20800 41600 83200 1240807 2481614 4963228 6204035 9926456 12408070 16130491 19852912 24816140 31020175 32260982 39705824 49632280 62040350 64521964 79411648 80652455 99264560 124080700 129043928 158823296 161304910 198529120 248161400 258087856 317646592 322609820 397058240 403262275 496322800 516175712 645219640 794116480 806524550 992645600 1032351424 1290439280 1588232960 1613049100 1985291200 2064702848 2580878560 3226098200 3970582400 4129405696 5161757120 6452196400 7941164800 10323514240 12904392800 20647028480 25808785600 51617571200 103235142400