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102440204412 = 223713757123923
BaseRepresentation
bin101111101100111101…
…0010111100001111100
3100210102020022120101220
41133121322113201330
53134244143020122
6115021013033340
710254364241040
oct1373172274174
9323366276356
10102440204412
113a498908867
1217a2b025850
139877233c90
144d5b188020
1529e85a325c
hex17d9e9787c

102440204412 has 96 divisors (see below), whose sum is σ = 294578253312. Its totient is φ = 26981289216.

The previous prime is 102440204407. The next prime is 102440204417. The reversal of 102440204412 is 214402044201.

It is an interprime number because it is at equal distance from previous prime (102440204407) and next prime (102440204417).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102440204417) 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 31 ways as a sum of consecutive naturals, for example, 764683 + ... + 888605.

It is an arithmetic number, because the mean of its divisors is an integer number (3068523472).

Almost surely, 2102440204412 is an apocalyptic number.

102440204412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102440204412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147289126656).

102440204412 is an abundant number, since it is smaller than the sum of its proper divisors (192138048900).

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

102440204412 is a wasteful number, since it uses less digits than its factorization.

102440204412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124707 (or 124705 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 102440204412 its reverse (214402044201), we get a palindrome (316842248613).

The spelling of 102440204412 in words is "one hundred two billion, four hundred forty million, two hundred four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 757 1092 1514 2271 3028 4542 5299 9084 9841 10598 15897 19682 21196 29523 31794 39364 59046 63588 68887 118092 123923 137774 206661 247846 275548 371769 413322 495692 743538 826644 867461 1487076 1610999 1734922 2602383 3221998 3469844 4832997 5204766 6443996 9665994 10409532 11276993 19331988 22553986 33830979 45107972 67661958 93809711 135323916 187619422 281429133 375238844 562858266 656667977 1125716532 1219526243 1313335954 1970003931 2439052486 2626671908 3658578729 3940007862 4878104972 7317157458 7880015724 8536683701 14634314916 17073367402 25610051103 34146734804 51220102206 102440204412