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31344010104 = 233112347109831
BaseRepresentation
bin11101001100001111…
…111010001101111000
32222220102021200122010
4131030033322031320
51003143031310404
622222122525520
72156506455441
oct351417721570
988812250563
1031344010104
1112324970790
1260a90668a0
132c5696bc54
141734b442c8
15c36b0e189
hex74c3fa378

31344010104 has 128 divisors (see below), whose sum is σ = 91099054080. Its totient is φ = 8891836800.

The previous prime is 31344010051. The next prime is 31344010123. The reversal of 31344010104 is 40101044313.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 230469 + ... + 340299.

It is an arithmetic number, because the mean of its divisors is an integer number (711711360).

Almost surely, 231344010104 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 31344010104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45549527040).

31344010104 is an abundant number, since it is smaller than the sum of its proper divisors (59755043976).

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

31344010104 is a wasteful number, since it uses less digits than its factorization.

31344010104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109921 (or 109917 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 31344010104 its reverse (40101044313), we get a palindrome (71445054417).

The spelling of 31344010104 in words is "thirty-one billion, three hundred forty-four million, ten thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 47 66 69 88 92 94 132 138 141 184 188 253 264 276 282 376 506 517 552 564 759 1012 1034 1081 1128 1518 1551 2024 2068 2162 3036 3102 3243 4136 4324 6072 6204 6486 8648 11891 12408 12972 23782 25944 35673 47564 71346 95128 109831 142692 219662 285384 329493 439324 658986 878648 1208141 1317972 2416282 2526113 2635944 3624423 4832564 5052226 5162057 7248846 7578339 9665128 10104452 10324114 14497692 15156678 15486171 20208904 20648228 27787243 28995384 30313356 30972342 41296456 55574486 56782627 60626712 61944684 83361729 111148972 113565254 118727311 123889368 166723458 170347881 222297944 227130508 237454622 333446916 340695762 356181933 454261016 474909244 666893832 681391524 712363866 949818488 1306000421 1362783048 1424727732 2612000842 2849455464 3918001263 5224001684 7836002526 10448003368 15672005052 31344010104