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151021312 = 2813231973
BaseRepresentation
bin10010000000001…
…10011100000000
3101112011200021221
421000012130000
5302130140222
622552524424
73512442241
oct1100063400
9345150257
10151021312
117827a602
12426b0714
1325398a30
14160b2cc8
15d3d20c7
hex9006700

151021312 has 72 divisors (see below), whose sum is σ = 338927904. Its totient is φ = 66637824.

The previous prime is 151021303. The next prime is 151021313. The reversal of 151021312 is 213120151.

It is a super-3 number, since 3×1510213123 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151021313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75558 + ... + 77530.

It is an arithmetic number, because the mean of its divisors is an integer number (4707332).

Almost surely, 2151021312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151021312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169463952).

151021312 is an abundant number, since it is smaller than the sum of its proper divisors (187906592).

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

151021312 is a wasteful number, since it uses less digits than its factorization.

151021312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2025 (or 2011 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 151021312 is about 12289.0728698303. The cubic root of 151021312 is about 532.5324535166.

Adding to 151021312 its reverse (213120151), we get a palindrome (364141463).

It can be divided in two parts, 1510 and 21312, that added together give a palindrome (22822).

The spelling of 151021312 in words is "one hundred fifty-one million, twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 128 184 208 256 299 368 416 598 736 832 1196 1472 1664 1973 2392 2944 3328 3946 4784 5888 7892 9568 15784 19136 25649 31568 38272 45379 51298 63136 76544 90758 102596 126272 181516 205192 252544 363032 410384 505088 589927 726064 820768 1179854 1452128 1641536 2359708 2904256 3283072 4719416 5808512 6566144 9438832 11617024 18877664 37755328 75510656 151021312