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102524365104304 = 2411131918047130681
BaseRepresentation
bin10111010011111011010000…
…010111001110010010110000
3111110000020022021121122010211
4113103323100113032102300
5101414224344431314204
61002015013151433504
730411066225403333
oct2723732027162260
9443006267548124
10102524365104304
112a7383803299a0
12b5b9aaa525894
134529010668560
141b462c480061a
15bcbd62490804
hex5d3ed05ce4b0

102524365104304 has 160 divisors (see below), whose sum is σ = 245666436341760. Its totient is φ = 40750582118400.

The previous prime is 102524365104283. The next prime is 102524365104379. The reversal of 102524365104304 is 403401563425201.

It is a super-2 number, since 2×1025243651043042 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 784473844 + ... + 784604524.

It is an arithmetic number, because the mean of its divisors is an integer number (1535415227136).

Almost surely, 2102524365104304 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 102524365104304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122833218170880).

102524365104304 is an abundant number, since it is smaller than the sum of its proper divisors (143142071237456).

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

102524365104304 is a wasteful number, since it uses less digits than its factorization.

102524365104304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148779 (or 148773 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

The spelling of 102524365104304 in words is "one hundred two trillion, five hundred twenty-four billion, three hundred sixty-five million, one hundred four thousand, three hundred four".

Divisors: 1 2 4 8 11 13 16 19 22 26 38 44 52 76 88 104 143 152 176 208 209 247 286 304 418 494 572 836 988 1144 1672 1976 2288 2717 3344 3952 5434 10868 18047 21736 36094 43472 72188 130681 144376 198517 234611 261362 288752 342893 397034 469222 522724 685786 794068 938444 1045448 1371572 1437491 1588136 1698853 1876888 2090896 2482939 2580721 2743144 2874982 3176272 3397706 3753776 3771823 4457609 4965878 5161442 5486288 5749964 6795412 7543646 8915218 9931756 10322884 11499928 13590824 15087292 17830436 18687383 19863512 20645768 22999856 27181648 27312329 30174584 32278207 35660872 37374766 39727024 41291536 49033699 54624658 60349168 64556414 71321744 74749532 98067398 109249316 129112828 149499064 196134796 218498632 258225656 298998128 355060277 392269592 436997264 516451312 710120554 784539184 1420241108 2358400007 2840482216 4716800014 5680964432 9433600028 18867200056 25942400077 30659200091 37734400112 44809600133 51884800154 61318400182 89619200266 103769600308 122636800364 179238400532 207539200616 245273600728 337251201001 358476801064 415078401232 490547201456 492905601463 582524801729 674502402002 716953602128 985811202926 1165049603458 1349004804004 1971622405852 2330099206916 2698009608008 3943244811704 4660198413832 5396019216016 6407772819019 7886489623408 9320396827664 12815545638038 25631091276076 51262182552152 102524365104304