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10211214413025 = 3252833259167777
BaseRepresentation
bin1001010010010111101111…
…0011101100110011100001
31100011011221002102010221100
42110211323303230303201
52314300031342204100
633414544522545013
72102510261261103
oct224457363546341
940134832363840
1010211214413025
11328760836a75a
12118b003068169
13590bb4934742
14274322775573
1512a93cbab400
hex9497bcecce1

10211214413025 has 72 divisors (see below), whose sum is σ = 18515563990560. Its totient is φ = 5378683806720.

The previous prime is 10211214413017. The next prime is 10211214413027. The reversal of 10211214413025 is 52031441211201.

10211214413025 is a `hidden beast` number, since 1 + 0 + 2 + 11 + 214 + 413 + 0 + 25 = 666.

It is not a de Polignac number, because 10211214413025 - 23 = 10211214413017 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10211214413025.

It is not an unprimeable number, because it can be changed into a prime (10211214413027) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 60777937 + ... + 60945713.

It is an arithmetic number, because the mean of its divisors is an integer number (257160610980).

Almost surely, 210211214413025 is an apocalyptic number.

10211214413025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10211214413025 is a deficient number, since it is larger than the sum of its proper divisors (8304349577535).

10211214413025 is a wasteful number, since it uses less digits than its factorization.

10211214413025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171135 (or 171127 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 10211214413025 its reverse (52031441211201), we get a palindrome (62242655624226).

The spelling of 10211214413025 in words is "ten trillion, two hundred eleven billion, two hundred fourteen million, four hundred thirteen thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 83 225 249 415 747 1245 2075 3259 3735 6225 9777 16295 18675 29331 48885 81475 146655 167777 244425 270497 503331 733275 811491 838885 1352485 1509993 2434473 2516655 4057455 4194425 6762425 7549965 12172365 12583275 13925491 20287275 37749825 41776473 60861825 69627455 125329419 208882365 348137275 546785243 626647095 1044411825 1640355729 2733926215 3133235475 4921067187 8201778645 13669631075 24605335935 41008893225 45383175169 123026679675 136149525507 226915875845 408448576521 680747627535 1134579379225 2042242882605 3403738137675 10211214413025