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151401327 = 37211109859
BaseRepresentation
bin10010000011000…
…11001101101111
3101112212222120120
421001203031233
5302224320302
623005020023
73515614200
oct1101431557
9345788516
10151401327
117850a070
1242854613
132549c9ac
14161715a7
15d4599bc
hex906336f

151401327 has 48 divisors (see below), whose sum is σ = 258825600. Its totient is φ = 77837760.

The previous prime is 151401317. The next prime is 151401353. The reversal of 151401327 is 723104151.

151401327 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 151401327 - 28 = 151401071 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 151401297 and 151401306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151401317) 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, 175824 + ... + 176682.

It is an arithmetic number, because the mean of its divisors is an integer number (5392200).

Almost surely, 2151401327 is an apocalyptic number.

151401327 is a deficient number, since it is larger than the sum of its proper divisors (107424273).

151401327 is a wasteful number, since it uses less digits than its factorization.

151401327 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 151401327 is about 12304.5246555891. The cubic root of 151401327 is about 532.9787499433.

Adding to 151401327 its reverse (723104151), we get a palindrome (874505478).

The spelling of 151401327 in words is "one hundred fifty-one million, four hundred one thousand, three hundred twenty-seven".

Divisors: 1 3 7 11 21 33 49 77 109 147 231 327 539 763 859 1199 1617 2289 2577 3597 5341 6013 8393 9449 16023 18039 25179 28347 42091 58751 66143 93631 126273 176253 198429 280893 463001 655417 1029941 1389003 1966251 3089823 4587919 7209587 13763757 21628761 50467109 151401327