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103552040340 = 22325782184159
BaseRepresentation
bin110000001110000101…
…1101011110110010100
3100220021201102200120100
41200130023223312110
53144033310242330
6115323211334100
710324054551150
oct1403413536624
9326251380510
10103552040340
113aa09477631
121809b451330
1399c369a068
145024ac8060
152a60ec6060
hex181c2ebd94

103552040340 has 72 divisors (see below), whose sum is σ = 358980410880. Its totient is φ = 23669037504.

The previous prime is 103552040309. The next prime is 103552040393. The reversal of 103552040340 is 43040255301.

103552040340 is a `hidden beast` number, since 103 + 5 + 520 + 4 + 0 + 34 + 0 = 666.

It is a super-3 number, since 3×1035520403403 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41090820 + ... + 41093339.

It is an arithmetic number, because the mean of its divisors is an integer number (4985839040).

Almost surely, 2103552040340 is an apocalyptic number.

103552040340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103552040340 is an abundant number, since it is smaller than the sum of its proper divisors (255428370540).

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

103552040340 is a wasteful number, since it uses less digits than its factorization.

103552040340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82184181 (or 82184176 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 103552040340 its reverse (43040255301), we get a palindrome (146592295641).

The spelling of 103552040340 in words is "one hundred three billion, five hundred fifty-two million, forty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 82184159 164368318 246552477 328736636 410920795 493104954 575289113 739657431 821841590 986209908 1150578226 1232762385 1479314862 1643683180 1725867339 2301156452 2465524770 2876445565 2958629724 3451734678 3698287155 4931049540 5177602017 5752891130 6903469356 7396574310 8629336695 10355204034 11505782260 14793148620 17258673390 20710408068 25888010085 34517346780 51776020170 103552040340