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31122132211320 = 2335727356741543
BaseRepresentation
bin1110001001110001011111…
…01000101001011001111000
311002012020122220102100112020
413010320233220221121320
513034401111321230240
6150105150554514440
76361333306663203
oct704705750513170
9132166586370466
1031122132211320
119a0990530aa87
1235a7817135a20
131449a5c57a647
14798467dac93a
1538e8587c20d0
hex1c4e2fa29678

31122132211320 has 64 divisors (see below), whose sum is σ = 93494823851520. Its totient is φ = 8287819503744.

The previous prime is 31122132211309. The next prime is 31122132211351. The reversal of 31122132211320 is 2311223122113.

It is a super-2 number, since 2×311221322113202 (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178283532 + ... + 178458011.

It is an arithmetic number, because the mean of its divisors is an integer number (1460856622680).

Almost surely, 231122132211320 is an apocalyptic number.

31122132211320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31122132211320 is an abundant number, since it is smaller than the sum of its proper divisors (62372691640200).

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

31122132211320 is a wasteful number, since it uses less digits than its factorization.

31122132211320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356742284 (or 356742280 counting only the distinct ones).

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

Adding to 31122132211320 its reverse (2311223122113), we get a palindrome (33433355333433).

The spelling of 31122132211320 in words is "thirty-one trillion, one hundred twenty-two billion, one hundred thirty-two million, two hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 727 1454 2181 2908 3635 4362 5816 7270 8724 10905 14540 17448 21810 29080 43620 87240 356741543 713483086 1070224629 1426966172 1783707715 2140449258 2853932344 3567415430 4280898516 5351123145 7134830860 8561797032 10702246290 14269661720 21404492580 42808985160 259351101761 518702203522 778053305283 1037404407044 1296755508805 1556106610566 2074808814088 2593511017610 3112213221132 3890266526415 5187022035220 6224426442264 7780533052830 10374044070440 15561066105660 31122132211320