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31003316240 = 24513181164701
BaseRepresentation
bin11100110111111100…
…010001000000010000
32222000200012122111212
4130313330101000100
51001443322104430
622124232355252
72145201561041
oct346774210020
988020178455
1031003316240
111216a622406
126012b45b28
132c011c3850
1417017ba8c8
15c16c62b95
hex737f11010

31003316240 has 80 divisors (see below), whose sum is σ = 78056889456. Its totient is φ = 11384064000.

The previous prime is 31003316237. The next prime is 31003316297. The reversal of 31003316240 is 4261330013.

It can be written as a sum of positive squares in 8 ways, for example, as 2331344656 + 28671971584 = 48284^2 + 169328^2 .

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

It is a super-2 number, since 2×310033162402 (a number of 22 digits) contains 22 as substring.

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, 105890 + ... + 270590.

Almost surely, 231003316240 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 31003316240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39028444728).

31003316240 is an abundant number, since it is smaller than the sum of its proper divisors (47053573216).

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

31003316240 is a wasteful number, since it uses less digits than its factorization.

31003316240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164908 (or 164902 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 31003316240 its reverse (4261330013), we get a palindrome (35264646253).

The spelling of 31003316240 in words is "thirty-one billion, three million, three hundred sixteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 181 208 260 362 520 724 905 1040 1448 1810 2353 2896 3620 4706 7240 9412 11765 14480 18824 23530 37648 47060 94120 164701 188240 329402 658804 823505 1317608 1647010 2141113 2635216 3294020 4282226 6588040 8564452 10705565 13176080 17128904 21411130 29810881 34257808 42822260 59621762 85644520 119243524 149054405 171289040 238487048 298108810 387541453 476974096 596217620 775082906 1192435240 1550165812 1937707265 2384870480 3100331624 3875414530 6200663248 7750829060 15501658120 31003316240