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2141034150125 = 531324110332393
BaseRepresentation
bin11111001001111111100…
…101000111100011101101
321120200101100110222222202
4133021333211013203231
5240034314220301000
64315324424151245
7310453552000223
oct37117745074355
97520340428882
102141034150125
11756009a63252
122a6b44008525
13126b8b45c500
14758ab598b13
153aa5e8c8dd5
hex1f27f9478ed

2141034150125 has 96 divisors (see below), whose sum is σ = 2968039410336. Its totient is φ = 1540371456000.

The previous prime is 2141034150077. The next prime is 2141034150133. The reversal of 2141034150125 is 5210514301412.

It is a happy number.

It can be written as a sum of positive squares in 48 ways, for example, as 813483136489 + 1327551013636 = 901933^2 + 1152194^2 .

It is a de Polignac number, because none of the positive numbers 2k-2141034150125 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 894705929 + ... + 894708321.

It is an arithmetic number, because the mean of its divisors is an integer number (30917077191).

Almost surely, 22141034150125 is an apocalyptic number.

2141034150125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2141034150125 is a deficient number, since it is larger than the sum of its proper divisors (827005260211).

2141034150125 is a wasteful number, since it uses less digits than its factorization.

2141034150125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3508 (or 3485 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

Adding to 2141034150125 its reverse (5210514301412), we get a palindrome (7351548451537).

The spelling of 2141034150125 in words is "two trillion, one hundred forty-one billion, thirty-four million, one hundred fifty thousand, one hundred twenty-five".

Divisors: 1 5 13 25 41 65 125 169 205 325 533 845 1025 1033 1625 2393 2665 4225 5125 5165 6929 11965 13325 13429 21125 25825 31109 34645 42353 59825 66625 67145 98113 129125 155545 173225 174577 211765 299125 335725 404417 490565 550589 777725 866125 872885 1058825 1275469 1678625 2022085 2452825 2471969 2752945 3888625 4364425 5294125 6377345 7157657 10110425 12264125 12359845 13764725 16581097 21822125 31886725 32135597 35788285 50552125 61799225 68823625 82905485 101350729 159433625 160677985 178941425 308996125 414527425 417762761 506753645 803389925 894707125 1317559477 2072637125 2088813805 2533768225 4016949625 6587797385 10444069025 12668841125 17128273201 32938986925 52220345125 85641366005 164694934625 428206830025 2141034150125