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112131102330300 = 223521761360434273
BaseRepresentation
bin11001011111101110001110…
…100001011100110110111100
3112201000121222022120001121010
4121133232032201130312330
5104144123444144032200
61034252152310435220
732422130150452134
oct3137561641346674
9481017868501533
10112131102330300
1132801596017189
12106ab913362b10
134a74bc0bc58b1
141d99262443ac4
15ce6bc21ea150
hex65fb8e85cdbc

112131102330300 has 144 divisors (see below), whose sum is σ = 349148356012512. Its totient is φ = 27681352089600.

The previous prime is 112131102330253. The next prime is 112131102330371. The reversal of 112131102330300 is 3033201131211.

It is a happy number.

112131102330300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 179906037 + ... + 180528236.

It is an arithmetic number, because the mean of its divisors is an integer number (2424641361198).

Almost surely, 2112131102330300 is an apocalyptic number.

112131102330300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112131102330300 is an abundant number, since it is smaller than the sum of its proper divisors (237017253682212).

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

112131102330300 is a wasteful number, since it uses less digits than its factorization.

112131102330300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360434368 (or 360434361 counting only the distinct ones).

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

Adding to 112131102330300 its reverse (3033201131211), we get a palindrome (115164303461511).

It can be divided in two parts, 11213110 and 2330300, that added together give a triangular number (13543410 = T5204).

The spelling of 112131102330300 in words is "one hundred twelve trillion, one hundred thirty-one billion, one hundred two million, three hundred thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 61 68 75 85 100 102 122 150 170 183 204 244 255 300 305 340 366 425 510 610 732 850 915 1020 1037 1220 1275 1525 1700 1830 2074 2550 3050 3111 3660 4148 4575 5100 5185 6100 6222 9150 10370 12444 15555 18300 20740 25925 31110 51850 62220 77775 103700 155550 311100 360434273 720868546 1081302819 1441737092 1802171365 2162605638 3604342730 4325211276 5406514095 6127382641 7208685460 9010856825 10813028190 12254765282 18021713650 18382147923 21626056380 21986490653 24509530564 27032570475 30636913205 36043427300 36764295846 43972981306 54065140950 61273826410 65959471959 73528591692 87945962612 91910739615 108130281900 109932453265 122547652820 131918943918 153184566025 183821479230 219864906530 263837887836 306369132050 329797359795 367642958460 373770341101 439729813060 459553698075 549662266325 612738264100 659594719590 747540682202 919107396150 1099324532650 1121311023303 1319189439180 1495081364404 1648986798975 1838214792300 1868851705505 2198649065300 2242622046606 3297973597950 3737703411010 4485244093212 5606555116515 6595947195900 7475406822020 9344258527525 11213110233030 18688517055050 22426220466060 28032775582575 37377034110100 56065551165150 112131102330300