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31213124421040 = 24519116317656879
BaseRepresentation
bin1110001100011010111110…
…01100011000010110110000
311002111221112022022112111201
413012031133030120112300
513042343434322433130
6150215040021420544
76401034215003362
oct706153714302660
9132457468275451
1031213124421040
119a44459013a01
12360139026a754
131455500b0cc63
1479ca1a98ad32
15391dd1ce1bca
hex1c635f3185b0

31213124421040 has 80 divisors (see below), whose sum is σ = 76455702950400. Its totient is φ = 11817960327936.

The previous prime is 31213124421023. The next prime is 31213124421041. The reversal of 31213124421040 is 4012442131213.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×312131244210402 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31213124421041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7060680 + ... + 10596199.

It is an arithmetic number, because the mean of its divisors is an integer number (955696286880).

Almost surely, 231213124421040 is an apocalyptic number.

It is an amenable number.

31213124421040 is an abundant number, since it is smaller than the sum of its proper divisors (45242578529360).

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

31213124421040 is a wasteful number, since it uses less digits than its factorization.

31213124421040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17658074 (or 17658068 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 31213124421040 its reverse (4012442131213), we get a palindrome (35225566552253).

The spelling of 31213124421040 in words is "thirty-one trillion, two hundred thirteen billion, one hundred twenty-four million, four hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1163 1520 2326 4652 5815 9304 11630 18608 22097 23260 44194 46520 88388 93040 110485 176776 220970 353552 441940 883880 1767760 17656879 35313758 70627516 88284395 141255032 176568790 282510064 335480701 353137580 670961402 706275160 1341922804 1412550320 1677403505 2683845608 3354807010 5367691216 6709614020 13419228040 20534950277 26838456080 41069900554 82139801108 102674751385 164279602216 205349502770 328559204432 390164055263 410699005540 780328110526 821398011080 1560656221052 1642796022160 1950820276315 3121312442104 3901640552630 6242624884208 7803281105260 15606562210520 31213124421040