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12368030700 = 22352374612417
BaseRepresentation
bin10111000010011000…
…10010101111101100
31011220221122001120010
423201030102233230
5200312203440300
65403133453220
7615330345354
oct134114225754
934827561503
1012368030700
115277481583
122492041210
13122149197c
1485485db64
154c5c1ba50
hex2e1312bec

12368030700 has 144 divisors (see below), whose sum is σ = 36846954144. Its totient is φ = 3200716800.

The previous prime is 12368030699. The next prime is 12368030743. The reversal of 12368030700 is 703086321.

12368030700 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 2×123680307002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5115892 + ... + 5118308.

It is an arithmetic number, because the mean of its divisors is an integer number (255881626).

Almost surely, 212368030700 is an apocalyptic number.

12368030700 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 12368030700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18423477072).

12368030700 is an abundant number, since it is smaller than the sum of its proper divisors (24478923444).

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

12368030700 is a wasteful number, since it uses less digits than its factorization.

12368030700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2932 (or 2925 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The spelling of 12368030700 in words is "twelve billion, three hundred sixty-eight million, thirty thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 461 555 740 922 925 1110 1383 1844 1850 2220 2305 2417 2766 2775 3700 4610 4834 5532 5550 6915 7251 9220 9668 11100 11525 12085 13830 14502 17057 23050 24170 27660 29004 34114 34575 36255 46100 48340 51171 60425 68228 69150 72510 85285 89429 102342 120850 138300 145020 170570 178858 181275 204684 241700 255855 268287 341140 357716 362550 426425 447145 511710 536574 725100 852850 894290 1023420 1073148 1114237 1279275 1341435 1705700 1788580 2228474 2235725 2558550 2682870 3342711 4456948 4471450 5117100 5365740 5571185 6685422 6707175 8942900 11142370 13370844 13414350 16713555 22284740 26828700 27855925 33427110 41226769 55711850 66854220 82453538 83567775 111423700 123680307 164907076 167135550 206133845 247360614 334271100 412267690 494721228 618401535 824535380 1030669225 1236803070 2061338450 2473606140 3092007675 4122676900 6184015350 12368030700