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151205300 = 225211313381
BaseRepresentation
bin10010000001100…
…11010110110100
3101112112000200022
421000303112310
5302202032200
623000504312
73514136531
oct1100632664
9345460608
10151205300
1178395864
124277b098
13254316bc
141611dd88
15d41b885
hex90335b4

151205300 has 36 divisors (see below), whose sum is σ = 331043916. Its totient is φ = 59942400.

The previous prime is 151205279. The next prime is 151205303. The reversal of 151205300 is 3502151.

It can be written as a sum of positive squares in 6 ways, for example, as 60155536 + 91049764 = 7756^2 + 9542^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151205303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4610 + ... + 17990.

Almost surely, 2151205300 is an apocalyptic number.

151205300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151205300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165521958).

151205300 is an abundant number, since it is smaller than the sum of its proper divisors (179838616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

151205300 is a wasteful number, since it uses less digits than its factorization.

151205300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13508 (or 13501 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 151205300 is about 12296.5564285291. The cubic root of 151205300 is about 532.7486256967.

Adding to 151205300 its reverse (3502151), we get a palindrome (154707451).

The spelling of 151205300 in words is "one hundred fifty-one million, two hundred five thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 113 226 452 565 1130 2260 2825 5650 11300 13381 26762 53524 66905 133810 267620 334525 669050 1338100 1512053 3024106 6048212 7560265 15120530 30241060 37801325 75602650 151205300