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130222561154664 = 2331117321727131231
BaseRepresentation
bin11101100110111111001101…
…011111111101011001101000
3122002002011012012002101020010
4131212333031133331121220
5114032031301123422124
61140543230235531520
736300161314254546
oct3546771537753150
9562064165071203
10130222561154664
11385470949708a0
12127320082b9ba0
135787c1ca70b04
142422b3c774d96
15100c5c3544529
hex766fcd7fd668

130222561154664 has 128 divisors (see below), whose sum is σ = 357224506490880. Its totient is φ = 39231177004800.

The previous prime is 130222561154663. The next prime is 130222561154753. The reversal of 130222561154664 is 466451165222031.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (130222561154663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 992249929 + ... + 992381159.

It is an arithmetic number, because the mean of its divisors is an integer number (2790816456960).

Almost surely, 2130222561154664 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 130222561154664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178612253245440).

130222561154664 is an abundant number, since it is smaller than the sum of its proper divisors (227001945336216).

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

130222561154664 is a wasteful number, since it uses less digits than its factorization.

130222561154664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153151 (or 153147 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 130222561154664 in words is "one hundred thirty trillion, two hundred twenty-two billion, five hundred sixty-one million, one hundred fifty-four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 173 264 346 519 692 1038 1384 1903 2076 3806 4152 5709 7612 11418 15224 21727 22836 43454 45672 65181 86908 130362 131231 173816 238997 260724 262462 393693 477994 521448 524924 716991 787386 955988 1049848 1433982 1443541 1574772 1911976 2867964 2887082 3149544 3758771 4330623 5735928 5774164 7517542 8661246 11276313 11548328 15035084 17322492 22552626 22702963 30070168 34644984 41346481 45105252 45405926 68108889 82692962 90210504 90811852 124039443 136217778 165385924 181623704 248078886 249732593 272435556 330771848 496157772 499465186 544871112 749197779 992315544 998930372 1498395558 1997860744 2851255937 2996791116 5702511874 5993582232 8553767811 11405023748 17107535622 22810047496 31363815307 34215071244 62727630614 68430142488 94091445921 125455261228 188182891842 250910522456 376365783684 493267277101 752731567368 986534554202 1479801831303 1973069108404 2959603662606 3946138216808 5425940048111 5919207325212 10851880096222 11838414650424 16277820144333 21703760192444 32555640288666 43407520384888 65111280577332 130222561154664