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151321324 = 227112341521
BaseRepresentation
bin10010000010011…
…11101011101100
3101112201220211111
421001033223230
5302214240244
623003201404
73515132020
oct1101175354
9345656744
10151321324
1178464a50
1242816264
132547245b
1416150380
15d440e34
hex904faec

151321324 has 96 divisors (see below), whose sum is σ = 353590272. Its totient is φ = 54912000.

The previous prime is 151321319. The next prime is 151321327. The reversal of 151321324 is 423123151.

It is a happy number.

151321324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1513213242 = 45796286194225952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 151321295 and 151321304.

It is not an unprimeable number, because it can be changed into a prime (151321327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 290184 + ... + 290704.

It is an arithmetic number, because the mean of its divisors is an integer number (3683232).

Almost surely, 2151321324 is an apocalyptic number.

151321324 is a gapful number since it is divisible by the number (14) 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 151321324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176795136).

151321324 is an abundant number, since it is smaller than the sum of its proper divisors (202268948).

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

151321324 is a wasteful number, since it uses less digits than its factorization.

151321324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 605 counting only the distinct ones).

The product of its digits is 720, while the sum is 22.

The square root of 151321324 is about 12301.2732674305. The cubic root of 151321324 is about 532.8848550999.

Adding to 151321324 its reverse (423123151), we get a palindrome (574444475).

It can be divided in two parts, 151321 and 324, that multiplied together give a square (49028004 = 70022).

The spelling of 151321324 in words is "one hundred fifty-one million, three hundred twenty-one thousand, three hundred twenty-four".

Divisors: 1 2 4 7 11 14 22 23 28 41 44 46 77 82 92 154 161 164 253 287 308 322 451 506 521 574 644 902 943 1012 1042 1148 1771 1804 1886 2084 3157 3542 3647 3772 5731 6314 6601 7084 7294 10373 11462 11983 12628 13202 14588 20746 21361 22924 23966 26404 40117 41492 42722 47932 72611 80234 83881 85444 131813 145222 149527 160468 167762 234971 263626 290444 299054 335524 469942 491303 527252 598108 922691 939884 982606 1644797 1845382 1965212 3289594 3439121 3690764 5404333 6579188 6878242 10808666 13756484 21617332 37830331 75660662 151321324