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1312124424 = 2331323832203
BaseRepresentation
bin100111000110101…
…0110111000001000
310101102222211022220
41032031112320020
510141400440144
6334111214040
744341605432
oct11615267010
93342884286
101312124424
11613729556
12307517320
1317bac17b0
14c6399652
157a2d7919
hex4e356e08

1312124424 has 128 divisors (see below), whose sum is σ = 3732341760. Its totient is φ = 381351168.

The previous prime is 1312124399. The next prime is 1312124441. The reversal of 1312124424 is 4244212131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1312124394 and 1312124403.

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, 594507 + ... + 596709.

It is an arithmetic number, because the mean of its divisors is an integer number (29158920).

Almost surely, 21312124424 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 1312124424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1866170880).

1312124424 is an abundant number, since it is smaller than the sum of its proper divisors (2420217336).

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

1312124424 is a wasteful number, since it uses less digits than its factorization.

1312124424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2331 (or 2327 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 1312124424 is about 36223.2580533557. The cubic root of 1312124424 is about 1094.7753405785.

Adding to 1312124424 its reverse (4244212131), we get a palindrome (5556336555).

The spelling of 1312124424 in words is "one billion, three hundred twelve million, one hundred twenty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 23 24 26 39 46 52 69 78 83 92 104 138 156 166 184 249 276 299 312 332 498 552 598 664 897 996 1079 1196 1794 1909 1992 2158 2203 2392 3237 3588 3818 4316 4406 5727 6474 6609 7176 7636 8632 8812 11454 12948 13218 15272 17624 22908 24817 25896 26436 28639 45816 49634 50669 52872 57278 74451 85917 99268 101338 114556 148902 152007 171834 182849 198536 202676 229112 297804 304014 343668 365698 405352 548547 595608 608028 658697 687336 731396 1097094 1216056 1317394 1462792 1976091 2194188 2377037 2634788 3952182 4205527 4388376 4754074 5269576 7131111 7904364 8411054 9508148 12616581 14262222 15808728 16822108 19016296 25233162 28524444 33644216 50466324 54671851 57048888 100932648 109343702 164015553 218687404 328031106 437374808 656062212 1312124424