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211002223231120 = 24518539142269151
BaseRepresentation
bin101111111110011111001000…
…100100000000000010010000
31000200002121121201200120122011
4233332133020210000002100
5210124030023121343440
62024433025544352304
762305256535614416
oct5776371044000220
91020077551616564
10211002223231120
11612605a4219752
121b7b9789775694
1390975691895b9
143a167c25632b6
15195d9baa039ea
hexbfe7c8900090

211002223231120 has 40 divisors (see below), whose sum is σ = 490606634522880. Its totient is φ = 84396336086400.

The previous prime is 211002223231091. The next prime is 211002223231171. The reversal of 211002223231120 is 21132322200112.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2110022232311202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211002223231091 and 211002223231100.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69651456 + ... + 72617695.

It is an arithmetic number, because the mean of its divisors is an integer number (12265165863072).

Almost surely, 2211002223231120 is an apocalyptic number.

211002223231120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211002223231120 is an abundant number, since it is smaller than the sum of its proper divisors (279604411291760).

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

211002223231120 is a wasteful number, since it uses less digits than its factorization.

211002223231120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142287703 (or 142287697 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 211002223231120 its reverse (21132322200112), we get a palindrome (232134545431232).

The spelling of 211002223231120 in words is "two hundred eleven trillion, two billion, two hundred twenty-three million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 18539 37078 74156 92695 148312 185390 296624 370780 741560 1483120 142269151 284538302 569076604 711345755 1138153208 1422691510 2276306416 2845383020 5690766040 11381532080 2637527790389 5275055580778 10550111161556 13187638951945 21100222323112 26375277903890 42200444646224 52750555807780 105501111615560 211002223231120