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31102140040 = 23531137223821
BaseRepresentation
bin11100111101110101…
…001111111010001000
32222021120011102021121
4130331311033322020
51002144121440130
622142122445024
72150511554056
oct347565177210
988246142247
1031102140040
1112210390174
126040063774
132c18814b7a
1417109831d6
15c20783d7a
hex73dd4fe88

31102140040 has 128 divisors (see below), whose sum is σ = 73179832320. Its totient is φ = 11883571200.

The previous prime is 31102139989. The next prime is 31102140137. The reversal of 31102140040 is 4004120113.

It is a junction number, because it is equal to n+sod(n) for n = 31102139996 and 31102140023.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37882830 + ... + 37883650.

It is an arithmetic number, because the mean of its divisors is an integer number (571717440).

Almost surely, 231102140040 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 31102140040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36589916160).

31102140040 is an abundant number, since it is smaller than the sum of its proper divisors (42077692280).

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

31102140040 is a wasteful number, since it uses less digits than its factorization.

31102140040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 31102140040 its reverse (4004120113), we get a palindrome (35106260153).

The spelling of 31102140040 in words is "thirty-one billion, one hundred two million, one hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 137 155 223 248 274 310 446 548 620 685 821 892 1096 1115 1240 1370 1642 1784 2230 2740 3284 4105 4247 4460 5480 6568 6913 8210 8494 8920 13826 16420 16988 21235 25451 27652 30551 32840 33976 34565 42470 50902 55304 61102 69130 84940 101804 112477 122204 127255 138260 152755 169880 183083 203608 224954 244408 254510 276520 305510 366166 449908 509020 562385 611020 732332 899816 915415 947081 1018040 1124770 1222040 1464664 1830830 1894162 2249540 3486787 3661660 3788324 4499080 4735405 5675573 6973574 7323320 7576648 9470810 11351146 13947148 17433935 18941620 22702292 25082371 27894296 28377865 34867870 37883240 45404584 50164742 56755730 69735740 100329484 113511460 125411855 139471480 200658968 227022920 250823710 501647420 777553501 1003294840 1555107002 3110214004 3887767505 6220428008 7775535010 15551070020 31102140040