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131223112013040 = 24354718531158757
BaseRepresentation
bin11101110101100011000010…
…111110100101010011110000
3122012121210210022001022100020
4131311203002332211103300
5114144424413133404130
61143031022045123440
736432362021241645
oct3565430276452360
9565553708038306
10131223112013040
11388a245582a843
1212873b02859580
13582b3951ba748
142459338011dcc
15102863331ce10
hex7758c2fa54f0

131223112013040 has 80 divisors (see below), whose sum is σ = 406792860415008. Its totient is φ = 34992725511168.

The previous prime is 131223112013003. The next prime is 131223112013041. The reversal of 131223112013040 is 40310211322131.

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

It is a super-2 number, since 2×1312231120130402 (a number of 29 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 131223112013040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131223112013041) 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, 112665342 + ... + 113824098.

Almost surely, 2131223112013040 is an apocalyptic number.

131223112013040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131223112013040 is an abundant number, since it is smaller than the sum of its proper divisors (275569748401968).

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

131223112013040 is a wasteful number, since it uses less digits than its factorization.

131223112013040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630626 (or 1630620 counting only the distinct ones).

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

Adding to 131223112013040 its reverse (40310211322131), we get a palindrome (171533323335171).

The spelling of 131223112013040 in words is "one hundred thirty-one trillion, two hundred twenty-three billion, one hundred twelve million, thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 471853 943706 1158757 1415559 1887412 2317514 2359265 2831118 3476271 3774824 4635028 4718530 5662236 5793785 6952542 7077795 7549648 9270056 9437060 11324472 11587570 13905084 14155590 17381355 18540112 18874120 22648944 23175140 27810168 28311180 34762710 37748240 46350280 55620336 56622360 69525420 92700560 113244720 139050840 278101680 546762966721 1093525933442 1640288900163 2187051866884 2733814833605 3280577800326 4374103733768 5467629667210 6561155600652 8201444500815 8748207467536 10935259334420 13122311201304 16402889001630 21870518668840 26244622402608 32805778003260 43741037337680 65611556006520 131223112013040