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112023002300 = 2252114314831597
BaseRepresentation
bin110100001010100010…
…1110101110010111100
3101201011002001010211012
41220111011311302330
53313410342033200
6123243533414352
711044014544226
oct1502505656274
9351132033735
10112023002300
1143566078740
121986433a3b8
13a7436690a1
1455c9b49416
152da9a00a35
hex1a15175cbc

112023002300 has 144 divisors (see below), whose sum is σ = 271709192832. Its totient is φ = 39736569600.

The previous prime is 112023002281. The next prime is 112023002317. The reversal of 112023002300 is 3200320211.

It is a happy number.

It is a congruent number.

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, 70145102 + ... + 70146698.

Almost surely, 2112023002300 is an apocalyptic number.

112023002300 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 112023002300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135854596416).

112023002300 is an abundant number, since it is smaller than the sum of its proper divisors (159686190532).

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

112023002300 is a wasteful number, since it uses less digits than its factorization.

112023002300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3148 (or 3141 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 112023002300 its reverse (3200320211), we get a palindrome (115223322511).

The spelling of 112023002300 in words is "one hundred twelve billion, twenty-three million, two thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 43 44 50 55 86 100 110 172 215 220 275 430 473 550 860 946 1075 1100 1483 1597 1892 2150 2365 2966 3194 4300 4730 5932 6388 7415 7985 9460 11825 14830 15970 16313 17567 23650 29660 31940 32626 35134 37075 39925 47300 63769 65252 68671 70268 74150 79850 81565 87835 127538 137342 148300 159700 163130 175670 255076 274684 318845 326260 343355 351340 407825 439175 637690 686710 701459 755381 815650 878350 1275380 1373420 1402918 1510762 1594225 1631300 1716775 1756700 2368351 2805836 3021524 3188450 3433550 3507295 3776905 4736702 6376900 6867100 7014590 7553810 9473404 11841755 14029180 15107620 17536475 18884525 23683510 26051861 35072950 37769050 47367020 52103722 59208775 70145900 75538100 101839093 104207444 118417550 130259305 203678186 236835100 260518610 407356372 509195465 521037220 651296525 1018390930 1120230023 1302593050 2036781860 2240460046 2545977325 2605186100 4480920092 5091954650 5601150115 10183909300 11202300230 22404600460 28005750575 56011501150 112023002300