Search a number
-
+
31210104120 = 23351338635179
BaseRepresentation
bin11101000100010001…
…000110010100111000
32222120002022120011020
4131010101012110320
51002404241312440
622200540502440
72153262336126
oct350421062470
988502276136
1031210104120
1112266321188
12607024aa20
132c34cb6640
141721048916
15c29ead3d0
hex744446538

31210104120 has 128 divisors (see below), whose sum is σ = 100878220800. Its totient is φ = 7679015424.

The previous prime is 31210104071. The next prime is 31210104157. The reversal of 31210104120 is 2140101213.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 31210104120.

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, 6023691 + ... + 6028869.

It is an arithmetic number, because the mean of its divisors is an integer number (788111100).

Almost surely, 231210104120 is an apocalyptic number.

31210104120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31210104120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50439110400).

31210104120 is an abundant number, since it is smaller than the sum of its proper divisors (69668116680).

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

31210104120 is a wasteful number, since it uses less digits than its factorization.

31210104120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9069 (or 9065 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 31210104120 its reverse (2140101213), we get a palindrome (33350205333).

The spelling of 31210104120 in words is "thirty-one billion, two hundred ten million, one hundred four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 3863 5179 7726 10358 11589 15452 15537 19315 20716 23178 25895 30904 31074 38630 41432 46356 50219 51790 57945 62148 67327 77260 77685 92712 100438 103580 115890 124296 134654 150657 154520 155370 200876 201981 207160 231780 251095 269308 301314 310740 336635 401752 403962 463560 502190 538616 602628 621480 673270 753285 807924 1004380 1009905 1205256 1346540 1506570 1615848 2008760 2019810 2693080 3013140 4039620 6026280 8079240 20006477 40012954 60019431 80025908 100032385 120038862 160051816 200064770 240077724 260084201 300097155 400129540 480155448 520168402 600194310 780252603 800259080 1040336804 1200388620 1300421005 1560505206 2080673608 2400777240 2600842010 3121010412 3901263015 5201684020 6242020824 7802526030 10403368040 15605052060 31210104120