Search a number
-
+
31818966102 = 2347112231893
BaseRepresentation
bin11101101000100011…
…101110010001010110
310001010111222221210000
4131220203232101112
51010131123403402
622341210512130
72204334515010
oct355043562126
9101114887700
1031818966102
1112548a82200
126200135646
133001195ac1
14177bc5b1b0
15c6367bc1c
hex7688ee456

31818966102 has 120 divisors (see below), whose sum is σ = 89564883408. Its totient is φ = 8264630880.

The previous prime is 31818966041. The next prime is 31818966121. The reversal of 31818966102 is 20166981813.

31818966102 is a `hidden beast` number, since 3 + 18 + 18 + 9 + 6 + 610 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 21268 + ... + 253160.

Almost surely, 231818966102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31818966102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44782441704).

31818966102 is an abundant number, since it is smaller than the sum of its proper divisors (57745917306).

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

31818966102 is a wasteful number, since it uses less digits than its factorization.

31818966102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231936 (or 231916 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 31818966102 in words is "thirty-one billion, eight hundred eighteen million, nine hundred sixty-six thousand, one hundred two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 81 99 121 126 154 162 189 198 231 242 297 363 378 462 567 594 693 726 847 891 1089 1134 1386 1694 1782 2079 2178 2541 3267 4158 5082 6237 6534 7623 9801 12474 15246 19602 22869 45738 68607 137214 231893 463786 695679 1391358 1623251 2087037 2550823 3246502 4174074 4869753 5101646 6261111 7652469 9739506 12522222 14609259 15304938 17855761 18783333 22957407 28059053 29218518 35711522 37566666 43827777 45914814 53567283 56118106 68872221 84177159 87655554 107134566 131483331 137744442 160701849 168354318 196413371 206616663 252531477 262966662 321403698 392826742 413233326 482105547 505062954 589240113 757594431 964211094 1178480226 1446316641 1515188862 1767720339 2272783293 2892633282 3535440678 4545566586 5303161017 10606322034 15909483051 31818966102