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230112331131000 = 23353105172982027
BaseRepresentation
bin110100010100100100110011…
…110000010110100001111000
31010011202112011000011111222210
4310110210303300112201320
5220130130023232143000
62133224051234415120
766320032036614543
oct6424446360264170
91104675130144883
10230112331131000
11673591009a875a
122198538a1314a0
139b52665b4cb86
1440b76d3a0785a
151b90b3a931350
hexd14933c16878

230112331131000 has 128 divisors (see below), whose sum is σ = 718633594748160. Its totient is φ = 61304901840000.

The previous prime is 230112331130971. The next prime is 230112331131013. The reversal of 230112331131000 is 131133211032.

It is a happy number.

It is a super-2 number, since 2×2301123311310002 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33338014 + ... + 39644013.

It is an arithmetic number, because the mean of its divisors is an integer number (5614324958970).

Almost surely, 2230112331131000 is an apocalyptic number.

230112331131000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230112331131000 is an abundant number, since it is smaller than the sum of its proper divisors (488521263617160).

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

230112331131000 is a wasteful number, since it uses less digits than its factorization.

230112331131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72983102 (or 72983088 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 230112331131000 its reverse (131133211032), we get a palindrome (230243464342032).

The spelling of 230112331131000 in words is "two hundred thirty trillion, one hundred twelve billion, three hundred thirty-one million, one hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1051 1500 2102 3000 3153 4204 5255 6306 8408 10510 12612 15765 21020 25224 26275 31530 42040 52550 63060 78825 105100 126120 131375 157650 210200 262750 315300 394125 525500 630600 788250 1051000 1576500 3153000 72982027 145964054 218946081 291928108 364910135 437892162 583856216 729820270 875784324 1094730405 1459640540 1751568648 1824550675 2189460810 2919281080 3649101350 4378921620 5473652025 7298202700 8757843240 9122753375 10947304050 14596405400 18245506750 21894608100 27368260125 36491013500 43789216200 54736520250 72982027000 76704110377 109473040500 153408220754 218946081000 230112331131 306816441508 383520551885 460224662262 613632883016 767041103770 920449324524 1150561655655 1534082207540 1840898649048 1917602759425 2301123311310 3068164415080 3835205518850 4602246622620 5752808278275 7670411037700 9204493245240 9588013797125 11505616556550 15340822075400 19176027594250 23011233113100 28764041391375 38352055188500 46022466226200 57528082782750 76704110377000 115056165565500 230112331131000