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31123341024 = 2532999711213
BaseRepresentation
bin11100111111000110…
…000111111011100000
32222100001001112120020
4130333012013323200
51002220033403044
622144201113440
72151160014366
oct347706077340
988301045506
1031123341024
1112221350846
126047188880
132c20028b29
141713701636
15c22570a19
hex73f187ee0

31123341024 has 96 divisors (see below), whose sum is σ = 84608284320. Its totient is φ = 10005768192.

The previous prime is 31123341019. The next prime is 31123341049. The reversal of 31123341024 is 42014332113.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 31123340985 and 31123341003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2770042 + ... + 2781254.

It is an arithmetic number, because the mean of its divisors is an integer number (881336295).

Almost surely, 231123341024 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 31123341024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42304142160).

31123341024 is an abundant number, since it is smaller than the sum of its proper divisors (53484943296).

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

31123341024 is a wasteful number, since it uses less digits than its factorization.

31123341024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12252 (or 12244 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 31123341024 its reverse (42014332113), we get a palindrome (73137673137).

The spelling of 31123341024 in words is "thirty-one billion, one hundred twenty-three million, three hundred forty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 997 1392 1994 2784 2991 3988 5982 7976 11213 11964 15952 22426 23928 28913 31904 33639 44852 47856 57826 67278 86739 89704 95712 115652 134556 173478 179408 231304 269112 325177 346956 358816 462608 538224 650354 693912 925216 975531 1076448 1300708 1387824 1951062 2601416 2775648 3902124 5202832 7804248 10405664 11179361 15608496 22358722 31216992 33538083 44717444 67076166 89434888 134152332 178869776 268304664 324201469 357739552 536609328 648402938 972604407 1073218656 1296805876 1945208814 2593611752 3890417628 5187223504 7780835256 10374447008 15561670512 31123341024