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321431122241220 = 223519281957124773
BaseRepresentation
bin100100100010101110000001…
…1110111000110011011000100
31120011002111220120101112220110
41021011130003313012123010
5314112311414243204340
63055343230302433020
7124463426566036125
oct11105340367063304
91504074816345813
10321431122241220
119346619a8a4262
1230073608592770
1310a47a95024a64
1459534c679604c
152726263c59680
hex1245703dc66c4

321431122241220 has 48 divisors (see below), whose sum is σ = 947375939240640. Its totient is φ = 81203651934336.

The previous prime is 321431122241179. The next prime is 321431122241231. The reversal of 321431122241220 is 22142221134123.

It is a super-2 number, since 2×3214311222412202 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 140978561247 + ... + 140978563526.

It is an arithmetic number, because the mean of its divisors is an integer number (19736998734180).

Almost surely, 2321431122241220 is an apocalyptic number.

321431122241220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

321431122241220 is an abundant number, since it is smaller than the sum of its proper divisors (625944816999420).

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

321431122241220 is a wasteful number, since it uses less digits than its factorization.

321431122241220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281957124804 (or 281957124802 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 321431122241220 its reverse (22142221134123), we get a palindrome (343573343375343).

The spelling of 321431122241220 in words is "three hundred twenty-one trillion, four hundred thirty-one billion, one hundred twenty-two million, two hundred forty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 281957124773 563914249546 845871374319 1127828499092 1409785623865 1691742748638 2819571247730 3383485497276 4229356871595 5357185370687 5639142495460 8458713743190 10714370741374 16071556112061 16917427486380 21428741482748 26785926853435 32143112224122 53571853706870 64286224448244 80357780560305 107143707413740 160715561120610 321431122241220