Search a number
-
+
102424443100 = 22527187378121
BaseRepresentation
bin101111101100011111…
…0001111100011011100
3100210101010122210221121
41133120332033203130
53134231124134400
6115015251140324
710254113254510
oct1373076174334
9323333583847
10102424443100
113a48aa23091
1217a258a46a4
139873ba5c65
144d59044140
1529e6edd21a
hex17d8f8f8dc

102424443100 has 72 divisors (see below), whose sum is σ = 254151490208. Its totient is φ = 35097753600.

The previous prime is 102424443089. The next prime is 102424443101. The reversal of 102424443100 is 1344424201.

It is a super-2 number, since 2×1024244431002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102424443101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1272040 + ... + 1350160.

Almost surely, 2102424443100 is an apocalyptic number.

102424443100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102424443100 is an abundant number, since it is smaller than the sum of its proper divisors (151727047108).

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

102424443100 is a wasteful number, since it uses less digits than its factorization.

102424443100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80015 (or 80008 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 102424443100 its reverse (1344424201), we get a palindrome (103768867301).

The spelling of 102424443100 in words is "one hundred two billion, four hundred twenty-four million, four hundred forty-three thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 1873 3746 7492 9365 13111 18730 26222 37460 46825 52444 65555 78121 93650 131110 156242 187300 262220 312484 327775 390605 546847 655550 781210 1093694 1311100 1562420 1953025 2187388 2734235 3906050 5468470 7812100 10936940 13671175 27342350 54684700 146320633 292641266 585282532 731603165 1024244431 1463206330 2048488862 2926412660 3658015825 4096977724 5121222155 7316031650 10242444310 14632063300 20484888620 25606110775 51212221550 102424443100