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102222202320320 = 2658315492484653
BaseRepresentation
bin10111001111100001110110…
…000011101011010111000000
3111101221100101001000210112012
4113033201312003223113000
5101344302032243222240
61001224121554352052
730350211316203215
oct2717416603532700
9441840331023465
10102222202320320
112a631213312015
12b56b42088b628
134506687738914
141b3581c34bb0c
15bc4079eb6b65
hex5cf8760eb5c0

102222202320320 has 112 divisors (see below), whose sum is σ = 246508486509600. Its totient is φ = 40370148642816.

The previous prime is 102222202320209. The next prime is 102222202320349. The reversal of 102222202320320 is 23023202222201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39899114 + ... + 42383766.

It is an arithmetic number, because the mean of its divisors is an integer number (2200968629550).

Almost surely, 2102222202320320 is an apocalyptic number.

102222202320320 is a gapful number since it is divisible by the number (10) 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 102222202320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123254243254800).

102222202320320 is an abundant number, since it is smaller than the sum of its proper divisors (144286284189280).

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

102222202320320 is a wasteful number, since it uses less digits than its factorization.

102222202320320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2486302 (or 2486292 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 102222202320320 its reverse (23023202222201), we get a palindrome (125245404542521).

The spelling of 102222202320320 in words is "one hundred two trillion, two hundred twenty-two billion, two hundred two million, three hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 83 160 166 320 332 415 664 830 1328 1549 1660 2656 3098 3320 5312 6196 6640 7745 12392 13280 15490 24784 26560 30980 49568 61960 99136 123920 128567 247840 257134 495680 514268 642835 1028536 1285670 2057072 2484653 2571340 4114144 4969306 5142680 8228288 9938612 10285360 12423265 19877224 20570720 24846530 39754448 41141440 49693060 79508896 99386120 159017792 198772240 206226199 397544480 412452398 795088960 824904796 1031130995 1649809592 2062261990 3299619184 3848727497 4124523980 6599238368 7697454994 8249047960 13198476736 15394909988 16498095920 19243637485 30789819976 32996191840 38487274970 61579639952 65992383680 76974549940 123159279904 153949099880 246318559808 307898199760 319444382251 615796399520 638888764502 1231592799040 1277777529004 1597221911255 2555555058008 3194443822510 5111110116016 6388887645020 10222220232032 12777775290040 20444440464064 25555550580080 51111101160160 102222202320320