Search a number
-
+
102404221041012 = 223112125175634443
BaseRepresentation
bin10111010010001011010111…
…001101111111100101110100
3111102120202012020100211221220
4113102023113031333211310
5101410242321041303022
61001443503311310340
730366314026615332
oct2722132715774564
9442522166324856
10102404221041012
112a6a1428117a00
12b59a75a51b3b0
13451a8a4680547
141b405682b6b52
15bc8b7ea2e85c
hex5d22d737f974

102404221041012 has 72 divisors (see below), whose sum is σ = 262661056250208. Its totient is φ = 31029097471680.

The previous prime is 102404221041007. The next prime is 102404221041053. The reversal of 102404221041012 is 210140122404201.

It is a happy number.

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, 15357463 + ... + 20991905.

Almost surely, 2102404221041012 is an apocalyptic number.

102404221041012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102404221041012 is an abundant number, since it is smaller than the sum of its proper divisors (160256835209196).

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

102404221041012 is a wasteful number, since it uses less digits than its factorization.

102404221041012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5646989 (or 5646976 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 102404221041012 its reverse (210140122404201), we get a palindrome (312544343445213).

The spelling of 102404221041012 in words is "one hundred two trillion, four hundred four billion, two hundred twenty-one million, forty-one thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1452 12517 25034 37551 50068 75102 137687 150204 275374 413061 550748 826122 1514557 1652244 3029114 4543671 5634443 6058228 9087342 11268886 16903329 18174684 22537772 33806658 61978873 67613316 123957746 185936619 247915492 371873238 681767603 743746476 1363535206 2045302809 2727070412 4090605618 8181211236 70526323031 141052646062 211578969093 282105292124 423157938186 775789553341 846315876372 1551579106682 2327368660023 3103158213364 4654737320046 8533685086751 9309474640092 17067370173502 25601055260253 34134740347004 51202110520506 102404221041012