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22102130411312 = 2471931734589633
BaseRepresentation
bin1010000011010000011011…
…01000011100011100110000
32220020221110110200210210012
411001220031220130130300
510344110130341130222
6115001324544154052
74440553252503110
oct501501550343460
986227413623705
1022102130411312
117051508463526
12258b65a908928
13c442b6832943
14565a6aa93040
15284dd91211e2
hex141a0da1c730

22102130411312 has 160 divisors (see below), whose sum is σ = 53906536427520. Its totient is φ = 8565354823680.

The previous prime is 22102130411311. The next prime is 22102130411341. The reversal of 22102130411312 is 21311403120122.

It is a super-2 number, since 2×221021304113122 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22102130411311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2520848 + ... + 7110480.

It is an arithmetic number, because the mean of its divisors is an integer number (336915852672).

Almost surely, 222102130411312 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 22102130411312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26953268213760).

22102130411312 is an abundant number, since it is smaller than the sum of its proper divisors (31804406016208).

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

22102130411312 is a wasteful number, since it uses less digits than its factorization.

22102130411312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4589771 (or 4589765 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 22102130411312 its reverse (21311403120122), we get a palindrome (43413533531434).

The spelling of 22102130411312 in words is "twenty-two trillion, one hundred two billion, one hundred thirty million, four hundred eleven thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 19 28 31 38 56 62 73 76 112 124 133 146 152 217 248 266 292 304 434 496 511 532 584 589 868 1022 1064 1168 1178 1387 1736 2044 2128 2263 2356 2774 3472 4088 4123 4526 4712 5548 8176 8246 9052 9424 9709 11096 15841 16492 18104 19418 22192 31682 32984 36208 38836 42997 63364 65968 77672 85994 126728 155344 171988 253456 300979 343976 601958 687952 1203916 2407832 4589633 4815664 9179266 18358532 32127431 36717064 64254862 73434128 87203027 128509724 142278623 174406054 257019448 284557246 335043209 348812108 514038896 569114492 610421189 670086418 697624216 995950361 1138228984 1220842378 1340172836 1395248432 1991900722 2276457968 2345302463 2441684756 2680345672 2703293837 3983801444 4690604926 4883369512 5360691344 5406587674 6365820971 7967602888 9381209852 9766739024 10386339479 10813175348 12731641942 15935205776 18762419704 18923056859 20772678958 21626350696 25463283884 37524839408 37846113718 41545357916 43252701392 44560746797 50926567768 72704376353 75692227436 83090715832 89121493594 101853135536 145408752706 151384454872 166181431664 178242987188 197340450101 290817505412 302768909744 356485974376 394680900202 581635010824 712971948752 789361800404 1163270021648 1381383150707 1578723600808 2762766301414 3157447201616 5525532602828 11051065205656 22102130411312