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230031100332 = 22321117291178269
BaseRepresentation
bin1101011000111011101…
…1000000100110101100
3210222202021002122111200
43112032323000212230
512232100430202312
6253401432445500
722422246043245
oct3261673004654
9728667078450
10230031100332
1189612617390
12386b8b49890
13188cbc83027
14b1c2703ccc
155eb4b930dc
hex358eec09ac

230031100332 has 144 divisors (see below), whose sum is σ = 694802253600. Its totient is φ = 63343687680.

The previous prime is 230031100319. The next prime is 230031100367. The reversal of 230031100332 is 233001130032.

230031100332 is a `hidden beast` number, since 2 + 300 + 31 + 1 + 0 + 0 + 332 = 666.

230031100332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 393907 + ... + 784362.

It is an arithmetic number, because the mean of its divisors is an integer number (4825015650).

Almost surely, 2230031100332 is an apocalyptic number.

230031100332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

230031100332 is an abundant number, since it is smaller than the sum of its proper divisors (464771153268).

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

230031100332 is a wasteful number, since it uses less digits than its factorization.

230031100332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178336 (or 1178331 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 230031100332 its reverse (233001130032), we get a palindrome (463032230364).

The spelling of 230031100332 in words is "two hundred thirty billion, thirty-one million, one hundred thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 29 33 34 36 44 51 58 66 68 87 99 102 116 132 153 174 187 198 204 261 306 319 348 374 396 493 522 561 612 638 748 957 986 1044 1122 1276 1479 1683 1914 1972 2244 2871 2958 3366 3828 4437 5423 5742 5916 6732 8874 10846 11484 16269 17748 21692 32538 48807 65076 97614 195228 1178269 2356538 3534807 4713076 7069614 10604421 12960959 14139228 20030573 21208842 25921918 34169801 38882877 40061146 42417684 51843836 60091719 68339602 77765754 80122292 102509403 116648631 120183438 136679204 155531508 180275157 205018806 220336303 233297262 240366876 307528209 360550314 375867811 410037612 440672606 466594524 580886617 615056418 661008909 721100628 751735622 881345212 1127603433 1161773234 1230112836 1322017818 1503471244 1742659851 1983026727 2255206866 2323546468 2644035636 3382810299 3485319702 3966053454 4510413732 5227979553 6389752787 6765620598 6970639404 7932106908 10455959106 12779505574 13531241196 19169258361 20911918212 25559011148 38338516722 57507775083 76677033444 115015550166 230031100332