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2122032143025 = 335231495120483
BaseRepresentation
bin11110111000010010111…
…110001101101010110001
321111212100001212000122000
4132320102332031222301
5234231410212034100
64302503105204213
7306211635414504
oct36702276155261
97455301760560
102122032143025
11748a48907053
122a3320330669
1312515076b322
14749c7a5b13b
153a2eb594900
hex1ee12f8dab1

2122032143025 has 96 divisors (see below), whose sum is σ = 4025010954240. Its totient is φ = 1094967720000.

The previous prime is 2122032142991. The next prime is 2122032143059. The reversal of 2122032143025 is 5203412302212.

2122032143025 is a `hidden beast` number, since 2 + 1 + 2 + 203 + 2 + 1 + 430 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (2122032142991) and next prime (2122032143059).

It is not a de Polignac number, because 2122032143025 - 224 = 2122015365809 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 2122032143025.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 103589434 + ... + 103609916.

It is an arithmetic number, because the mean of its divisors is an integer number (41927197440).

Almost surely, 22122032143025 is an apocalyptic number.

2122032143025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2122032143025 is a deficient number, since it is larger than the sum of its proper divisors (1902978811215).

2122032143025 is a wasteful number, since it uses less digits than its factorization.

2122032143025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25484 (or 25473 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 2122032143025 its reverse (5203412302212), we get a palindrome (7325444445237).

The spelling of 2122032143025 in words is "two trillion, one hundred twenty-two billion, thirty-two million, one hundred forty-three thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 31 45 75 93 135 155 225 279 465 675 775 837 1395 2325 4185 4951 6975 14853 20483 20925 24755 44559 61449 74265 102415 123775 133677 153481 184347 222795 307245 371325 460443 512075 553041 634973 668385 767405 921735 1113975 1381329 1536225 1904919 2302215 2765205 3174865 3341925 3837025 4143987 4608675 5714757 6906645 9524595 11511075 13826025 15874325 17144271 20719935 28573785 34533225 47622975 85721355 101411333 103599675 142868925 304233999 428606775 507056665 912701997 1521169995 2535283325 2738105991 3143751323 4563509985 7605849975 9431253969 13690529955 15718756615 22817549925 28293761907 47156269845 68452649775 78593783075 84881285721 141468809535 235781349225 424406428605 707344047675 2122032143025