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2112102211120 = 2451116417146197
BaseRepresentation
bin11110101111000011000…
…110100001111000110000
321110220201000221012212021
4132233003012201320300
5234101041131223440
64254141504241224
7305410601401636
oct36570306417060
97426630835767
102112102211120
117448126aa260
122a140a910214
1312422a444685
1474324d37356
1539e1992784a
hex1ebc31a1e30

2112102211120 has 80 divisors (see below), whose sum is σ = 5357422201248. Its totient is φ = 767985131520.

The previous prime is 2112102211081. The next prime is 2112102211147. The reversal of 2112102211120 is 211122012112.

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 (16).

It is a junction number, because it is equal to n+sod(n) for n = 2112102211094 and 2112102211103.

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, 14373862 + ... + 14520058.

Almost surely, 22112102211120 is an apocalyptic number.

2112102211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112102211120 is an abundant number, since it is smaller than the sum of its proper divisors (3245319990128).

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

2112102211120 is a wasteful number, since it uses less digits than its factorization.

2112102211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162638 (or 162632 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2112102211120 its reverse (211122012112), we get a palindrome (2323224223232).

The spelling of 2112102211120 in words is "two trillion, one hundred twelve billion, one hundred two million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 16417 32834 65668 82085 131336 146197 164170 180587 262672 292394 328340 361174 584788 656680 722348 730985 902935 1169576 1313360 1444696 1461970 1608167 1805870 2339152 2889392 2923940 3216334 3611740 5847880 6432668 7223480 8040835 11695760 12865336 14446960 16081670 25730672 32163340 64326680 128653360 2400116149 4800232298 9600464596 12000580745 19200929192 24001161490 26401277639 38401858384 48002322980 52802555278 96004645960 105605110556 132006388195 192009291920 211210221112 264012776390 422420442224 528025552780 1056051105560 2112102211120