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31321223002134 = 23213237949935441
BaseRepresentation
bin1110001111100100010100…
…10111101111100000010110
311002220021112212212102111100
413013302022113233200112
513101131331042032014
6150340434325250530
76411612050534442
oct707621227574026
9132807485772440
1031321223002134
119a8628a92992a
12361a31a263a46
13146276a3ca500
147a3d53417822
15394b0beeb009
hex1c7c8a5ef816

31321223002134 has 144 divisors (see below), whose sum is σ = 73706598416880. Its totient is φ = 9608179875840.

The previous prime is 31321223002057. The next prime is 31321223002141. The reversal of 31321223002134 is 43120032212313.

31321223002134 is a `hidden beast` number, since 3 + 1 + 3 + 212 + 230 + 0 + 213 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 31321223002098 and 31321223002107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5756516854 + ... + 5756522294.

It is an arithmetic number, because the mean of its divisors is an integer number (511851377895).

Almost surely, 231321223002134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31321223002134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36853299208440).

31321223002134 is an abundant number, since it is smaller than the sum of its proper divisors (42385375414746).

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

31321223002134 is a wasteful number, since it uses less digits than its factorization.

31321223002134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10847 (or 10831 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 31321223002134 its reverse (43120032212313), we get a palindrome (74441255214447).

The spelling of 31321223002134 in words is "thirty-one trillion, three hundred twenty-one billion, two hundred twenty-three million, two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 169 234 338 379 507 758 1014 1137 1521 2274 3042 3411 4927 4993 5441 6822 9854 9986 10882 14781 14979 16323 29562 29958 32646 44343 44937 48969 64051 64909 70733 88686 89874 97938 128102 129818 141466 192153 194727 212199 384306 389454 424398 576459 584181 636597 843817 919529 1152918 1168362 1273194 1687634 1839058 1892347 2062139 2531451 2758587 3784694 4124278 5062902 5517174 5677041 6186417 7594353 8275761 11354082 12372834 15188706 16551522 17031123 18559251 24600511 26807807 27166913 34062246 37118502 49201022 53615614 54333826 73801533 80423421 81500739 147603066 160846842 163001478 221404599 241270263 244502217 319806643 348501491 353169869 442809198 482540526 489004434 639613286 697002982 706339738 959419929 1045504473 1059509607 1918839858 2091008946 2119019214 2878259787 3136513419 3178528821 4591208297 5756519574 6273026838 6357057642 9182416594 10296260027 13773624891 20592520054 27547249782 30888780081 41320874673 61777560162 82641749346 92666340243 133851380351 185332680486 267702760702 401554141053 803108282106 1204662423159 1740067944563 2409324846318 3480135889126 5220203833689 10440407667378 15660611501067 31321223002134