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120131021242032 = 24317197748388883
BaseRepresentation
bin11011010100001000101110…
…110110001111111010110000
3120202100102011102100202021020
4123110020232312033322300
5111221211312414221112
61103255232420455440
734206115460313423
oct3324105666177260
9522312142322236
10120131021242032
1135306309755619
1211582243b4a580
1352053caa68218
1421945300159ba
15dd4d3be9448c
hex6d422ed8feb0

120131021242032 has 80 divisors (see below), whose sum is σ = 345888079781760. Its totient is φ = 35704575968256.

The previous prime is 120131021242009. The next prime is 120131021242033. The reversal of 120131021242032 is 230242120131021.

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 = 120131021241993 and 120131021242011.

It is not an unprimeable number, because it can be changed into a prime (120131021242033) 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, 3874178938 + ... + 3874209945.

It is an arithmetic number, because the mean of its divisors is an integer number (4323600997272).

Almost surely, 2120131021242032 is an apocalyptic number.

120131021242032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120131021242032 is an abundant number, since it is smaller than the sum of its proper divisors (225757058539728).

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

120131021242032 is a wasteful number, since it uses less digits than its factorization.

120131021242032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7748388930 (or 7748388924 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 120131021242032 its reverse (230242120131021), we get a palindrome (350373141373053).

The spelling of 120131021242032 in words is "one hundred twenty trillion, one hundred thirty-one billion, twenty-one million, two hundred forty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 34 38 48 51 57 68 76 102 114 136 152 204 228 272 304 323 408 456 646 816 912 969 1292 1938 2584 3876 5168 7752 15504 7748388883 15496777766 23245166649 30993555532 46490333298 61987111064 92980666596 123974222128 131722611011 147219388777 185961333192 263445222022 294438777554 371922666384 395167833033 441658166331 526890444044 588877555108 790335666066 883316332662 1053780888088 1177755110216 1580671332132 1766632665324 2107561776176 2355510220432 2502729609209 3161342664264 3533265330648 5005459218418 6322685328528 7066530661296 7508188827627 10010918436836 15016377655254 20021836873672 30032755310508 40043673747344 60065510621016 120131021242032