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188313012 = 223417179191
BaseRepresentation
bin10110011100101…
…10110110110100
3111010100021220000
423032112312310
5341202004022
630404111300
74444430346
oct1316266664
9433307800
10188313012
1197330398
1253095530
1330024924
141b01d296
15117eb6ac
hexb396db4

188313012 has 120 divisors (see below), whose sum is σ = 526901760. Its totient is φ = 58440960.

The previous prime is 188312989. The next prime is 188313023. The reversal of 188313012 is 210313881.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 985837 + ... + 986027.

It is an arithmetic number, because the mean of its divisors is an integer number (4390848).

Almost surely, 2188313012 is an apocalyptic number.

188313012 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 188313012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263450880).

188313012 is an abundant number, since it is smaller than the sum of its proper divisors (338588748).

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

188313012 is a wasteful number, since it uses less digits than its factorization.

188313012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 188313012 is about 13722.7188268215. The cubic root of 188313012 is about 573.1831875022.

Adding to 188313012 its reverse (210313881), we get a palindrome (398626893).

The spelling of 188313012 in words is "one hundred eighty-eight million, three hundred thirteen thousand, twelve".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 179 191 204 306 324 358 382 459 537 573 612 716 764 918 1074 1146 1377 1611 1719 1836 2148 2292 2754 3043 3222 3247 3438 4833 5157 5508 6086 6444 6494 6876 9129 9666 9741 10314 12172 12988 14499 15471 18258 19332 19482 20628 27387 28998 29223 30942 34189 36516 38964 54774 57996 58446 61884 68378 82161 87669 102567 109548 116892 136756 164322 175338 205134 246483 263007 307701 328644 350676 410268 492966 526014 581213 615402 923103 985932 1052028 1162426 1230804 1743639 1846206 2324852 2769309 3487278 3692412 5230917 5538618 6974556 10461834 11077236 15692751 20923668 31385502 47078253 62771004 94156506 188313012