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151213700 = 225211212497
BaseRepresentation
bin10010000001101…
…01011010000100
3101112112110012102
421000311122010
5302202314300
623001011232
73514203161
oct1100653204
9345473172
10151213700
11783a1100
1242783b18
1325435481
1416123068
15d41e0d5
hex9035684

151213700 has 54 divisors (see below), whose sum is σ = 360704778. Its totient is φ = 54982400.

The previous prime is 151213697. The next prime is 151213703. The reversal of 151213700 is 7312151.

It is an interprime number because it is at equal distance from previous prime (151213697) and next prime (151213703).

It can be written as a sum of positive squares in 3 ways, for example, as 10601536 + 140612164 = 3256^2 + 11858^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (151213703) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5852 + ... + 18348.

Almost surely, 2151213700 is an apocalyptic number.

151213700 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 151213700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180352389).

151213700 is an abundant number, since it is smaller than the sum of its proper divisors (209491078).

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

151213700 is a wasteful number, since it uses less digits than its factorization.

151213700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12533 (or 12515 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 20.

The square root of 151213700 is about 12296.8979828248. The cubic root of 151213700 is about 532.7584908835.

Adding to 151213700 its reverse (7312151), we get a palindrome (158525851).

The spelling of 151213700 in words is "one hundred fifty-one million, two hundred thirteen thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2420 3025 6050 12100 12497 24994 49988 62485 124970 137467 249940 274934 312425 549868 624850 687335 1249700 1374670 1512137 2749340 3024274 3436675 6048548 6873350 7560685 13746700 15121370 30242740 37803425 75606850 151213700