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331031022320 = 24570911235197
BaseRepresentation
bin1001101000100101111…
…11001000101011110000
31011122110010021021212002
410310102333020223300
520410422420203240
6412023515353132
732626154156225
oct4642277105360
91148403237762
10331031022320
11118431422699
12541a57527a8
13252a69a328b
141204449194c
158926a95d15
hex4d12fc8af0

331031022320 has 80 divisors (see below), whose sum is σ = 771567417120. Its totient is φ = 132082486272.

The previous prime is 331031022307. The next prime is 331031022337. The reversal of 331031022320 is 23220130133.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 331031022292 and 331031022301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63693962 + ... + 63699158.

It is an arithmetic number, because the mean of its divisors is an integer number (9644592714).

Almost surely, 2331031022320 is an apocalyptic number.

It is an amenable number.

331031022320 is an abundant number, since it is smaller than the sum of its proper divisors (440536394800).

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

331031022320 is a wasteful number, since it uses less digits than its factorization.

331031022320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7042 (or 7036 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 331031022320 its reverse (23220130133), we get a palindrome (354251152453).

The spelling of 331031022320 in words is "three hundred thirty-one billion, thirty-one million, twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 709 1123 1418 2246 2836 3545 4492 5197 5615 5672 7090 8984 10394 11230 11344 14180 17968 20788 22460 25985 28360 41576 44920 51970 56720 83152 89840 103940 207880 415760 796207 1592414 3184828 3684673 3981035 5836231 6369656 7369346 7962070 11672462 12739312 14738692 15924140 18423365 23344924 29181155 29477384 31848280 36846730 46689848 58362310 58954768 63696560 73693460 93379696 116724620 147386920 233449240 294773840 466898480 4137887779 8275775558 16551551116 20689438895 33103102232 41378877790 66206204464 82757755580 165515511160 331031022320