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331140525125 = 53113137211811
BaseRepresentation
bin1001101000110011000…
…00110110110001000101
31011122201202022121110112
410310121200312301011
520411133433301000
6412042430402405
732631654010334
oct4643140666105
91148652277415
10331140525125
11118488214783
1254216360405
13252c3593237
1412054c37d1b
1589314c6235
hex4d19836c45

331140525125 has 64 divisors (see below), whose sum is σ = 422474427648. Its totient is φ = 259096320000.

The previous prime is 331140525103. The next prime is 331140525127. The reversal of 331140525125 is 521525041133.

It is not a de Polignac number, because 331140525125 - 212 = 331140521029 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 331140525091 and 331140525100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331140525127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 408310970 + ... + 408311780.

It is an arithmetic number, because the mean of its divisors is an integer number (6601162932).

Almost surely, 2331140525125 is an apocalyptic number.

It is an amenable number.

331140525125 is a deficient number, since it is larger than the sum of its proper divisors (91333902523).

331140525125 is a wasteful number, since it uses less digits than its factorization.

331140525125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

Adding to 331140525125 its reverse (521525041133), we get a palindrome (852665566258).

The spelling of 331140525125 in words is "three hundred thirty-one billion, one hundred forty million, five hundred twenty-five thousand, one hundred twenty-five".

Divisors: 1 5 25 113 125 137 211 565 685 811 1055 2825 3425 4055 5275 14125 15481 17125 20275 23843 26375 28907 77405 91643 101375 111107 119215 144535 171121 387025 458215 555535 596075 722675 855605 1935125 2291075 2777675 2980375 3266491 3613375 4278025 11455375 12555091 13888375 16332455 19336673 21390125 23443577 62775455 81662275 96683365 117217885 313877275 408311375 483416825 586089425 1569386375 2417084125 2649124201 2930447125 13245621005 66228105025 331140525125