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330120117 = 3519127563
BaseRepresentation
bin10011101011010…
…011101110110101
3212000011211200000
4103223103232311
51134002320432
652431341513
711115655215
oct2353235665
9760154600
10330120117
1115a387148
1292681899
1353515662
1431bb4245
151dead57c
hex13ad3bb5

330120117 has 48 divisors (see below), whose sum is σ = 525557760. Its totient is φ = 206487792.

The previous prime is 330120107. The next prime is 330120143. The reversal of 330120117 is 711021033.

It is not a de Polignac number, because 330120117 - 26 = 330120053 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 330120117.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330120107) 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, 586078 + ... + 586640.

It is an arithmetic number, because the mean of its divisors is an integer number (10949120).

Almost surely, 2330120117 is an apocalyptic number.

It is an amenable number.

330120117 is a deficient number, since it is larger than the sum of its proper divisors (195437643).

330120117 is a wasteful number, since it uses less digits than its factorization.

330120117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 330120117 is about 18169.2079354054. The cubic root of 330120117 is about 691.1261572048.

The spelling of 330120117 in words is "three hundred thirty million, one hundred twenty thousand, one hundred seventeen".

Divisors: 1 3 9 19 27 57 81 127 171 243 381 513 563 1143 1539 1689 2413 3429 4617 5067 7239 10287 10697 15201 21717 30861 32091 45603 65151 71501 96273 136809 195453 214503 288819 586359 643509 866457 1358519 1930527 2599371 4075557 5791581 12226671 17374743 36680013 110040039 330120117