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10123113332310 = 23511377571095223
BaseRepresentation
bin1001001101001111100010…
…0100101111111001010110
31022211202112011200112100220
42103103320210233321112
52311324114003113220
633310254415015210
72063241120403266
oct223237044577126
938752464615326
1010123113332310
113253208626850
121175b1620a506
135857b4358154
1426dd65b3d7a6
151284d33c7540
hex934f892fe56

10123113332310 has 128 divisors (see below), whose sum is σ = 27256462930944. Its totient is φ = 2384604956160.

The previous prime is 10123113332183. The next prime is 10123113332323. The reversal of 10123113332310 is 1323331132101.

It is a super-2 number, since 2×101231133323102 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8695359 + ... + 9790581.

It is an arithmetic number, because the mean of its divisors is an integer number (212941116648).

Almost surely, 210123113332310 is an apocalyptic number.

10123113332310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10123113332310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13628231465472).

10123113332310 is an abundant number, since it is smaller than the sum of its proper divisors (17133349598634).

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

10123113332310 is a wasteful number, since it uses less digits than its factorization.

10123113332310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096038.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 10123113332310 its reverse (1323331132101), we get a palindrome (11446444464411).

The spelling of 10123113332310 in words is "ten trillion, one hundred twenty-three billion, one hundred thirteen million, three hundred thirty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 110 111 165 185 222 330 370 407 555 757 814 1110 1221 1514 2035 2271 2442 3785 4070 4542 6105 7570 8327 11355 12210 16654 22710 24981 28009 41635 49962 56018 83270 84027 124905 140045 168054 249810 280090 308099 420135 616198 840270 924297 1095223 1540495 1848594 2190446 3080990 3285669 4621485 5476115 6571338 9242970 10952230 12047453 16428345 24094906 32856690 36142359 40523251 60237265 72284718 81046502 120474530 121569753 180711795 202616255 243139506 361423590 405232510 445755761 607848765 829083811 891511522 1215697530 1337267283 1658167622 2228778805 2487251433 2674534566 4145419055 4457557610 4974502866 6686336415 8290838110 9119921921 12436257165 13372672830 18239843842 24872514330 27359765763 30676101007 45599609605 54719531526 61352202014 91199219210 92028303021 136798828815 153380505035 184056606042 273597657630 306761010070 337437111077 460141515105 674874222154 920283030210 1012311333231 1687185555385 2024622666462 3374371110770 5061556666155 10123113332310