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148106313 = 353119661
BaseRepresentation
bin10001101001111…
…10110001001001
3101022200120200000
420310332301021
5300403400223
622410233213
73445611555
oct1064766111
9338616600
10148106313
1176669513
1241725809
13248b7c94
1415954865
15d008543
hex8d3ec49

148106313 has 24 divisors (see below), whose sum is σ = 229022976. Its totient is φ = 95547600.

The previous prime is 148106303. The next prime is 148106323. The reversal of 148106313 is 313601841.

148106313 is a `hidden beast` number, since 14 + 8 + 10 + 631 + 3 = 666.

148106313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (148106303) and next prime (148106323).

It is not a de Polignac number, because 148106313 - 26 = 148106249 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (148106303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2298 + ... + 17363.

It is an arithmetic number, because the mean of its divisors is an integer number (9542624).

Almost surely, 2148106313 is an apocalyptic number.

It is an amenable number.

148106313 is a deficient number, since it is larger than the sum of its proper divisors (80916663).

148106313 is an equidigital number, since it uses as much as digits as its factorization.

148106313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19707 (or 19695 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 148106313 is about 12169.8937135868. The cubic root of 148106313 is about 529.0838724318.

The spelling of 148106313 in words is "one hundred forty-eight million, one hundred six thousand, three hundred thirteen".

Divisors: 1 3 9 27 31 81 93 243 279 837 2511 7533 19661 58983 176949 530847 609491 1592541 1828473 4777623 5485419 16456257 49368771 148106313