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315045555121 = 11375322391153
BaseRepresentation
bin1001001010110100010…
…11011010101110110001
31010010012001210102022101
410211122023122232301
520130203130230441
6400421355340401
731522060014463
oct4453213325661
91103161712271
10315045555121
11111679003580
1251084151701
1323929c37b4b
1411369424133
1582dd4c1231
hex495a2dabb1

315045555121 has 48 divisors (see below), whose sum is σ = 361579034880. Its totient is φ = 272026460160.

The previous prime is 315045555103. The next prime is 315045555161. The reversal of 315045555121 is 121555540513.

It is not a de Polignac number, because 315045555121 - 211 = 315045553073 is a prime.

It is a super-3 number, since 3×3150455551213 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (315045555161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 273239281 + ... + 273240433.

It is an arithmetic number, because the mean of its divisors is an integer number (7532896560).

Almost surely, 2315045555121 is an apocalyptic number.

It is an amenable number.

315045555121 is a deficient number, since it is larger than the sum of its proper divisors (46533479759).

315045555121 is a wasteful number, since it uses less digits than its factorization.

315045555121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1546 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 75000, while the sum is 37.

The spelling of 315045555121 in words is "three hundred fifteen billion, forty-five million, five hundred fifty-five thousand, one hundred twenty-one".

Divisors: 1 11 37 53 239 407 583 1153 1961 2629 2809 8843 12667 12683 21571 30899 42661 61109 97273 103933 139337 275567 468679 469271 671351 672199 1143263 2261033 3031237 3238777 5155469 7384861 10195979 14605051 24839987 24871363 35626547 112155769 119834749 160655561 273239857 540386887 774067703 1318182239 5944255757 8514744733 28640505011 315045555121