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891020222032031 = 721361135319169457
BaseRepresentation
bin1100101010011000001100111…
…1110100100110100010011111
311022211211200221021100121011022
43022212003033310212202133
51413241433403320011111
612435013012242314355
7355452041505514400
oct31246031764464237
94284750837317138
10891020222032031
112389a7610540303
1283b258316589bb
132c323b00728c90
1411a0587497d9a7
156d027328282db
hex32a60cfd2689f

891020222032031 has 48 divisors (see below), whose sum is σ = 1134536954362560. Its totient is φ = 693416717521920.

The previous prime is 891020222032021. The next prime is 891020222032051. The reversal of 891020222032031 is 130230222020198.

It is not a de Polignac number, because 891020222032031 - 226 = 891020154923167 is a prime.

It is a super-2 number, since 2×8910202220320312 (a number of 31 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 891020222031982 and 891020222032000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (891020222032021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5258005655 + ... + 5258175111.

It is an arithmetic number, because the mean of its divisors is an integer number (23636186549220).

Almost surely, 2891020222032031 is an apocalyptic number.

891020222032031 is a deficient number, since it is larger than the sum of its proper divisors (243516732330529).

891020222032031 is a wasteful number, since it uses less digits than its factorization.

891020222032031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304864 (or 304857 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The spelling of 891020222032031 in words is "eight hundred ninety-one trillion, twenty billion, two hundred twenty-two million, thirty-two thousand, thirty-one".

Divisors: 1 7 13 49 61 91 427 637 793 2989 5551 38857 135319 169457 947233 1186199 1759147 2202941 6630631 8254459 8303393 10336877 12314029 15420587 57781213 72358139 86198203 107307967 107944109 134379401 404468491 506506973 751155769 940655807 5258090383 6584590649 22930751783 160515262481 298099773179 1123606837367 1398775858763 2086698412253 9791431011341 14606888885771 18184086163919 68540017079387 127288603147433 891020222032031