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153320112 = 243211432251
BaseRepresentation
bin10010010001101…
…11101010110000
3101200111110122200
421020313222300
5303222220422
623114103200
73541125261
oct1110675260
9350443580
10153320112
11795aa740
124341ab00
13259c217a
1416510968
15d6d82ac
hex9237ab0

153320112 has 120 divisors (see below), whose sum is σ = 479189568. Its totient is φ = 45360000.

The previous prime is 153320107. The next prime is 153320117. The reversal of 153320112 is 211023351.

153320112 is a `hidden beast` number, since 1 + 533 + 20 + 112 = 666.

It is an interprime number because it is at equal distance from previous prime (153320107) and next prime (153320117).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (153320117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66987 + ... + 69237.

Almost surely, 2153320112 is an apocalyptic number.

153320112 is a gapful number since it is divisible by the number (12) 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 153320112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239594784).

153320112 is an abundant number, since it is smaller than the sum of its proper divisors (325869456).

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

153320112 is a wasteful number, since it uses less digits than its factorization.

153320112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2319 (or 2310 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 153320112 is about 12382.2498763351. The cubic root of 153320112 is about 535.2208736589.

Adding to 153320112 its reverse (211023351), we get a palindrome (364343463).

The spelling of 153320112 in words is "one hundred fifty-three million, three hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 43 44 48 66 72 86 88 99 129 132 144 172 176 198 258 264 344 387 396 473 516 528 688 774 792 946 1032 1419 1548 1584 1892 2064 2251 2838 3096 3784 4257 4502 5676 6192 6753 7568 8514 9004 11352 13506 17028 18008 20259 22704 24761 27012 34056 36016 40518 49522 54024 68112 74283 81036 96793 99044 108048 148566 162072 193586 198088 222849 290379 297132 324144 387172 396176 445698 580758 594264 774344 871137 891396 1064723 1161516 1188528 1548688 1742274 1782792 2129446 2323032 3194169 3484548 3565584 4258892 4646064 6388338 6969096 8517784 9582507 12776676 13938192 17035568 19165014 25553352 38330028 51106704 76660056 153320112