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31110020320 = 255375989069
BaseRepresentation
bin11100111110010011…
…010011110011100000
32222022002222202222211
4130332103103303200
51002203131122240
622143003411504
72150635544461
oct347623236340
988262882884
1031110020320
11122148827a5
126042823b94
132c1a343962
141711a34d68
15c212ddbea
hex73e4d3ce0

31110020320 has 96 divisors (see below), whose sum is σ = 76764088800. Its totient is φ = 11902334976.

The previous prime is 31110020269. The next prime is 31110020327. The reversal of 31110020320 is 2302001113.

It is a self number, because there is not a number n which added to its sum of digits gives 31110020320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31110020327) 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 15 ways as a sum of consecutive naturals, for example, 304746 + ... + 393814.

It is an arithmetic number, because the mean of its divisors is an integer number (799625925).

Almost surely, 231110020320 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 31110020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38382044400).

31110020320 is an abundant number, since it is smaller than the sum of its proper divisors (45654068480).

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

31110020320 is a wasteful number, since it uses less digits than its factorization.

31110020320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89180 (or 89172 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 31110020320 its reverse (2302001113), we get a palindrome (33412021433).

The spelling of 31110020320 in words is "thirty-one billion, one hundred ten million, twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 59 74 80 118 148 160 185 236 295 296 370 472 590 592 740 944 1180 1184 1480 1888 2183 2360 2960 4366 4720 5920 8732 9440 10915 17464 21830 34928 43660 69856 87320 89069 174640 178138 349280 356276 445345 712552 890690 1425104 1781380 2850208 3295553 3562760 5255071 6591106 7125520 10510142 13182212 14251040 16477765 21020284 26275355 26364424 32955530 42040568 52550710 52728848 65911060 84081136 105101420 105457696 131822120 168162272 194437627 210202840 263644240 388875254 420405680 527288480 777750508 840811360 972188135 1555501016 1944376270 3111002032 3888752540 6222004064 7777505080 15555010160 31110020320