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31000104132 = 223192928316567
BaseRepresentation
bin11100110111110000…
…000000110011000100
32222000110011110022220
4130313300000303010
51001442011313012
622124035452340
72145132352224
oct346760006304
988013143286
1031000104132
1112168829078
126011a570b0
132c0063a7aa
1417011c2084
15c1682b08c
hex737c00cc4

31000104132 has 96 divisors (see below), whose sum is σ = 79049241600. Its totient is φ = 9417969792.

The previous prime is 31000104119. The next prime is 31000104143. The reversal of 31000104132 is 23140100013.

It is a super-3 number, since 3×310001041323 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 1862913 + ... + 1879479.

It is an arithmetic number, because the mean of its divisors is an integer number (823429600).

Almost surely, 231000104132 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 31000104132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39524620800).

31000104132 is an abundant number, since it is smaller than the sum of its proper divisors (48049137468).

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

31000104132 is a wasteful number, since it uses less digits than its factorization.

31000104132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16905 (or 16903 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 31000104132 its reverse (23140100013), we get a palindrome (54140204145).

The spelling of 31000104132 in words is "thirty-one billion, one hundred four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 29 38 57 58 76 87 114 116 174 228 283 348 551 566 849 1102 1132 1653 1698 2204 3306 3396 5377 6612 8207 10754 16131 16414 16567 21508 24621 32262 32828 33134 49242 49701 64524 66268 98484 99402 155933 198804 311866 314773 467799 480443 623732 629546 935598 944319 960886 1259092 1441329 1871196 1888638 1921772 2882658 3777276 4688461 5765316 9128417 9376922 14065383 18256834 18753844 27385251 28130766 36513668 54770502 56261532 89080759 109541004 135965369 178161518 267242277 271930738 356323036 407896107 534484554 543861476 815792214 1068969108 1631584428 2583342011 5166684022 7750026033 10333368044 15500052066 31000104132