Search a number
-
+
31014313400 = 2352767330643
BaseRepresentation
bin11100111000100110…
…001101110110111000
32222001102220100210002
4130320212031312320
51002004131012100
622125304212132
72145364212530
oct347046156670
988042810702
1031014313400
1112175853774
12601676a048
132c03574245
1417030404c0
15c17bd62d5
hex73898ddb8

31014313400 has 96 divisors (see below), whose sum is σ = 83639706240. Its totient is φ = 10474738560.

The previous prime is 31014313399. The next prime is 31014313403. The reversal of 31014313400 is 431341013.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31014313403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71522 + ... + 259121.

It is an arithmetic number, because the mean of its divisors is an integer number (871246940).

Almost surely, 231014313400 is an apocalyptic number.

It is an amenable number.

31014313400 is an abundant number, since it is smaller than the sum of its proper divisors (52625392840).

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

31014313400 is a wasteful number, since it uses less digits than its factorization.

31014313400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330733 (or 330724 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 31014313400 its reverse (431341013), we get a palindrome (31445654413).

The spelling of 31014313400 in words is "thirty-one billion, fourteen million, three hundred thirteen thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 67 70 100 134 140 175 200 268 280 335 350 469 536 670 700 938 1340 1400 1675 1876 2345 2680 3350 3752 4690 6700 9380 11725 13400 18760 23450 46900 93800 330643 661286 1322572 1653215 2314501 2645144 3306430 4629002 6612860 8266075 9258004 11572505 13225720 16532150 18516008 22153081 23145010 33064300 44306162 46290020 57862525 66128600 88612324 92580040 110765405 115725050 155071567 177224648 221530810 231450100 310143134 443061620 462900200 553827025 620286268 775357835 886123240 1107654050 1240572536 1550715670 2215308100 3101431340 3876789175 4430616200 6202862680 7753578350 15507156700 31014313400