Search a number
-
+
11022104131192 = 2371129617000903
BaseRepresentation
bin1010000001100100100010…
…0110011111011001111000
31110000200222101110212221001
42200121020212133121320
52421041232124144232
635235252411454344
72215215005201440
oct240311046373170
943020871425831
1011022104131192
11356a4a2488930
1212a01a84573b4
1361c4c2a0501b
142a16890a1120
15141a9c0066e7
hexa064899f678

11022104131192 has 64 divisors (see below), whose sum is σ = 26654439052800. Its totient is φ = 4146246061440.

The previous prime is 11022104131141. The next prime is 11022104131211. The reversal of 11022104131192 is 29113140122011.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 11022104131192.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 308482588 + ... + 308518315.

It is an arithmetic number, because the mean of its divisors is an integer number (416475610200).

Almost surely, 211022104131192 is an apocalyptic number.

It is an amenable number.

11022104131192 is an abundant number, since it is smaller than the sum of its proper divisors (15632334921608).

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

11022104131192 is a wasteful number, since it uses less digits than its factorization.

11022104131192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617000956 (or 617000952 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 28.

The spelling of 11022104131192 in words is "eleven trillion, twenty-two billion, one hundred four million, one hundred thirty-one thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 11 14 22 28 29 44 56 58 77 88 116 154 203 232 308 319 406 616 638 812 1276 1624 2233 2552 4466 8932 17864 617000903 1234001806 2468003612 4319006321 4936007224 6787009933 8638012642 13574019866 17276025284 17893026187 27148039732 34552050568 35786052374 47509069531 54296079464 71572104748 95018139062 125251183309 143144209496 190036278124 196823288057 250502366618 380072556248 393646576114 501004733236 787293152228 1002009466472 1377763016399 1574586304456 2755526032798 5511052065596 11022104131192