Search a number
-
+
1102331342992 = 241117422987119
BaseRepresentation
bin10000000010101000000…
…100010111000010010000
310220101022100220021002111
4100002220010113002100
5121030033310433432
62202223134155104
7142432540546615
oct20025004270220
93811270807074
101102331342992
1139555033a540
12159780652a94
137cc45aa5779
143b4d2d7450c
151da1a4b4347
hex100a8117090

1102331342992 has 80 divisors (see below), whose sum is σ = 2467593849600. Its totient is φ = 471468677120.

The previous prime is 1102331342977. The next prime is 1102331342993. The reversal of 1102331342992 is 2992431332011.

It is a super-3 number, since 3×11023313429923 (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1102331342993) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 12609609 + ... + 12696727.

It is an arithmetic number, because the mean of its divisors is an integer number (30844923120).

Almost surely, 21102331342992 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 1102331342992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233796924800).

1102331342992 is an abundant number, since it is smaller than the sum of its proper divisors (1365262506608).

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

1102331342992 is a wasteful number, since it uses less digits than its factorization.

1102331342992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91384 (or 91378 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 40.

The spelling of 1102331342992 in words is "one trillion, one hundred two billion, three hundred thirty-one million, three hundred forty-two thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 136 176 187 272 374 748 1496 2992 4229 8458 16916 33832 46519 67664 71893 87119 93038 143786 174238 186076 287572 348476 372152 575144 696952 744304 790823 958309 1150288 1393904 1481023 1581646 1916618 2962046 3163292 3833236 5924092 6326584 7666472 11848184 12653168 15332944 16291253 23696368 32582506 65165012 130330024 260660048 368426251 736852502 1473705004 2947410008 4052688761 5894820016 6263246267 8105377522 12526492534 16210755044 25052985068 32421510088 50105970136 64843020176 68895708937 100211940272 137791417874 275582835748 551165671496 1102331342992