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103614224252 = 227111073738429
BaseRepresentation
bin110000001111111100…
…0111001011101111100
3100220110001102221212012
41200133320321131330
53144200220134002
6115333312230352
710325441242310
oct1403770713574
9326401387765
10103614224252
113aa4058a2a0
12180b823b3b8
139a03530086
14502d073b40
152a666aad52
hex181fe3977c

103614224252 has 96 divisors (see below), whose sum is σ = 228819064320. Its totient is φ = 39879947520.

The previous prime is 103614224249. The next prime is 103614224257. The reversal of 103614224252 is 252422416301.

103614224252 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1036142242523 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103614224257) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12288374 + ... + 12296802.

It is an arithmetic number, because the mean of its divisors is an integer number (2383531920).

Almost surely, 2103614224252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103614224252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114409532160).

103614224252 is an abundant number, since it is smaller than the sum of its proper divisors (125204840068).

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

103614224252 is a wasteful number, since it uses less digits than its factorization.

103614224252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8931 (or 8929 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The spelling of 103614224252 in words is "one hundred three billion, six hundred fourteen million, two hundred twenty-four thousand, two hundred fifty-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 107 154 214 308 373 428 746 749 1177 1492 1498 2354 2611 2996 4103 4708 5222 8206 8239 8429 10444 16412 16478 16858 28721 32956 33716 39911 57442 59003 79822 92719 114884 118006 159644 185438 236012 279377 370876 439021 558754 649033 878042 901903 1117508 1298066 1756084 1803806 2596132 3073147 3144017 3607612 6146294 6288034 6313321 9920933 12292588 12576068 12626642 19841866 22008119 25253284 34584187 39683732 44016238 69168374 69446531 88032476 138336748 138893062 242089309 277786124 336409819 484178618 672819638 968357236 1345639276 2354868733 3700508009 4709737466 7401016018 9419474932 14802032036 25903556063 51807112126 103614224252