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152002331 = 13233312
BaseRepresentation
bin10010000111101…
…01111100011011
3101121000111222222
421003311330123
5302403033311
623025534255
73523666325
oct1103657433
9347014888
10152002331
117888a668
1242aa438b
1325650410
141628a615
15d527adb
hex90f5f1b

152002331 has 24 divisors (see below), whose sum is σ = 176833440. Its totient is φ = 129880080.

The previous prime is 152002283. The next prime is 152002343. The reversal of 152002331 is 133200251.

It is a de Polignac number, because none of the positive numbers 2k-152002331 is a prime.

It is a super-2 number, since 2×1520023312 = 46209417258867122, which contains 22 as substring.

It is a Duffinian number.

152002331 is a modest number, since divided by 2331 gives 152 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152002351) 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, 4903286 + ... + 4903316.

It is an arithmetic number, because the mean of its divisors is an integer number (7368060).

Almost surely, 2152002331 is an apocalyptic number.

152002331 is a deficient number, since it is larger than the sum of its proper divisors (24831109).

152002331 is an frugal number, since it uses more digits than its factorization.

152002331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 152002331 is about 12328.9225401087. The cubic root of 152002331 is about 533.6830578200.

Adding to 152002331 its reverse (133200251), we get a palindrome (285202582).

The spelling of 152002331 in words is "one hundred fifty-two million, two thousand, three hundred thirty-one".

Divisors: 1 13 23 31 299 403 529 713 961 6877 9269 12167 12493 16399 22103 158171 213187 287339 377177 508369 4903301 6608797 11692487 152002331