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202105405114425 = 325217101951852811
BaseRepresentation
bin101101111101000001010100…
…111000010000100000111001
3222111121002101011210111212100
4231331001110320100200321
5202442243332202130200
61553501535155534013
760366430226441301
oct5575012470204071
9874532334714770
10202105405114425
115944046a34574a
121a80146b2ba309
1388a05c50a3a37
1437c9d4d32c601
15185735aa81d00
hexb7d054e10839

202105405114425 has 72 divisors (see below), whose sum is σ = 383663104212960. Its totient is φ = 101349428313600.

The previous prime is 202105405114421. The next prime is 202105405114447. The reversal of 202105405114425 is 524411504501202.

202105405114425 is a `hidden beast` number, since 2 + 0 + 2 + 1 + 0 + 540 + 51 + 1 + 44 + 25 = 666.

It is not a de Polignac number, because 202105405114425 - 22 = 202105405114421 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 202105405114425.

It is not an unprimeable number, because it can be changed into a prime (202105405114421) 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, 22028731 + ... + 29824080.

It is an arithmetic number, because the mean of its divisors is an integer number (5328654225180).

Almost surely, 2202105405114425 is an apocalyptic number.

202105405114425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

202105405114425 is a deficient number, since it is larger than the sum of its proper divisors (181557699098535).

202105405114425 is a wasteful number, since it uses less digits than its factorization.

202105405114425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51853863 (or 51853855 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

Adding to 202105405114425 its reverse (524411504501202), we get a palindrome (726516909615627).

The spelling of 202105405114425 in words is "two hundred two trillion, one hundred five billion, four hundred five million, one hundred fourteen thousand, four hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 45 51 75 85 153 225 255 425 765 1019 1275 3057 3825 5095 9171 15285 17323 25475 45855 51969 76425 86615 155907 229275 259845 433075 779535 1299225 3897675 51852811 155558433 259264055 466675299 777792165 881497787 1296320275 2333376495 2644493361 3888960825 4407488935 7933480083 11666882475 13222466805 22037444675 39667400415 52838014409 66112334025 158514043227 198337002075 264190072045 475542129681 792570216135 898246244953 1320950360225 2377710648405 2694738734859 3962851080675 4491231224765 8084216204577 11888553242025 13473693674295 22456156123825 40421081022885 67368468371475 202105405114425