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121323120212310 = 235297910141174067
BaseRepresentation
bin11011100101011110111101…
…011110111011100101010110
3120220120101011211212222001020
4123211132331132323211112
5111400224222233243220
61110011023314542010
734361210006342412
oct3345367536734526
9526511154788036
10121323120212310
1135725934522085
1211735297597906
13529094b4829c3
1421d60db079d42
15e05d5d1d4040
hex6e57bd7bb956

121323120212310 has 128 divisors (see below), whose sum is σ = 305060714956800. Its totient is φ = 30838590881280.

The previous prime is 121323120212291. The next prime is 121323120212347. The reversal of 121323120212310 is 13212021323121.

It is a super-2 number, since 2×1213231202123102 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 696903897 + ... + 697077963.

It is an arithmetic number, because the mean of its divisors is an integer number (2383286835600).

Almost surely, 2121323120212310 is an apocalyptic number.

121323120212310 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 121323120212310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152530357478400).

121323120212310 is an abundant number, since it is smaller than the sum of its proper divisors (183737594744490).

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

121323120212310 is a wasteful number, since it uses less digits than its factorization.

121323120212310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184326.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 121323120212310 its reverse (13212021323121), we get a palindrome (134535141535431).

The spelling of 121323120212310 in words is "one hundred twenty-one trillion, three hundred twenty-three billion, one hundred twenty million, two hundred twelve thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 29 30 58 79 87 145 158 174 237 290 395 435 474 790 870 1185 2291 2370 4582 6873 10141 11455 13746 20282 22910 30423 34365 50705 60846 68730 101410 152115 174067 294089 304230 348134 522201 588178 801139 870335 882267 1044402 1470445 1602278 1740670 1764534 2403417 2611005 2940890 4005695 4411335 4806834 5047943 5222010 8011390 8822670 10095886 12017085 13751293 15143829 23233031 24034170 25239715 27502586 30287658 41253879 46466062 50479430 68756465 69699093 75719145 82507758 116165155 137512930 139398186 151438290 206269395 232330310 348495465 398787497 412538790 696990930 797574994 1196362491 1765213447 1993937485 2392724982 3530426894 3987874970 5295640341 5981812455 8826067235 10591280682 11963624910 17652134470 26478201705 51191189963 52956403410 102382379926 139451862313 153573569889 255955949815 278903724626 307147139778 418355586939 511911899630 697259311565 767867849445 836711173878 1394518623130 1535735698890 2091777934695 4044104007077 4183555869390 8088208014154 12132312021231 20220520035385 24264624042462 40441040070770 60661560106155 121323120212310