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2131220031120 = 243252960027821
BaseRepresentation
bin11111000000110110100…
…111001110011010010000
321112202001101111002122200
4133000312213032122100
5234404214311443440
64311022521403200
7306655422236325
oct37006647163220
97482041432580
102131220031120
117519331683a4
122a5065339500
13125c861249bb
1475219dc0b4c
153a687ed6c30
hex1f0369ce690

2131220031120 has 60 divisors (see below), whose sum is σ = 7157347273596. Its totient is φ = 568325341440.

The previous prime is 2131220031113. The next prime is 2131220031121. The reversal of 2131220031120 is 211300221312.

2131220031120 is a `hidden beast` number, since 2 + 1 + 312 + 20 + 0 + 311 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1601631989136 + 529588041984 = 1265556^2 + 727728^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2131220031093 and 2131220031102.

It is not an unprimeable number, because it can be changed into a prime (2131220031121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1480013191 + ... + 1480014630.

Almost surely, 22131220031120 is an apocalyptic number.

2131220031120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131220031120 is an abundant number, since it is smaller than the sum of its proper divisors (5026127242476).

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

2131220031120 is a wasteful number, since it uses less digits than its factorization.

2131220031120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2960027840 (or 2960027831 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2131220031120 its reverse (211300221312), we get a palindrome (2342520252432).

The spelling of 2131220031120 in words is "two trillion, one hundred thirty-one billion, two hundred twenty million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 2960027821 5920055642 8880083463 11840111284 14800139105 17760166926 23680222568 26640250389 29600278210 35520333852 44400417315 47360445136 53280500778 59200556420 71040667704 88800834630 106561001556 118401112840 133201251945 142081335408 177601669260 213122003112 236802225680 266402503890 355203338520 426244006224 532805007780 710406677040 1065610015560 2131220031120