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10041312331140 = 2235169998502181
BaseRepresentation
bin1001001000011110110011…
…0110101100010110000100
31022112221101022200010012220
42102013230312230112010
52304004101424044030
633204525403412340
72054314036354356
oct222075466542604
938487338603186
1010041312331140
113221551041952
1211620a72240b0
1357ab7907268c
1426a005b0b0d6
151262e6c53a10
hex921ecdac584

10041312331140 has 48 divisors (see below), whose sum is σ = 28132223179200. Its totient is φ = 2676107226240.

The previous prime is 10041312331117. The next prime is 10041312331153. The reversal of 10041312331140 is 4113321314001.

It is a happy number.

It is a super-3 number, since 3×100413123311403 (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10041312331140.

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, 49149151 + ... + 49353030.

It is an arithmetic number, because the mean of its divisors is an integer number (586087982900).

Almost surely, 210041312331140 is an apocalyptic number.

10041312331140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10041312331140 is an abundant number, since it is smaller than the sum of its proper divisors (18090910848060).

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

10041312331140 is a wasteful number, since it uses less digits than its factorization.

10041312331140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98503892 (or 98503890 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 10041312331140 its reverse (4113321314001), we get a palindrome (14154633645141).

The spelling of 10041312331140 in words is "ten trillion, forty-one billion, three hundred twelve million, three hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1699 3398 5097 6796 8495 10194 16990 20388 25485 33980 50970 101940 98502181 197004362 295506543 394008724 492510905 591013086 985021810 1182026172 1477532715 1970043620 2955065430 5910130860 167355205519 334710411038 502065616557 669420822076 836776027595 1004131233114 1673552055190 2008262466228 2510328082785 3347104110380 5020656165570 10041312331140