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112023032022 = 2331135926417
BaseRepresentation
bin110100001010100010…
…1111101000011010110
3101201011002002122121000
41220111011331003112
53313410344011042
6123243534204130
711044015026666
oct1502505750326
9351132078530
10112023032022
1143566099000
1219864353646
13a743679785
1455c9b561a6
152da9a0974c
hex1a1517d0d6

112023032022 has 128 divisors (see below), whose sum is σ = 278466854400. Its totient is φ = 33369747840.

The previous prime is 112023031997. The next prime is 112023032039. The reversal of 112023032022 is 220230320211.

112023032022 is a `hidden beast` number, since 112 + 0 + 230 + 320 + 2 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 112023031986 and 112023032004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4227358 + ... + 4253774.

It is an arithmetic number, because the mean of its divisors is an integer number (2175522300).

Almost surely, 2112023032022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112023032022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139233427200).

112023032022 is an abundant number, since it is smaller than the sum of its proper divisors (166443822378).

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

112023032022 is a wasteful number, since it uses less digits than its factorization.

112023032022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26520 (or 26492 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 112023032022 its reverse (220230320211), we get a palindrome (332253352233).

The spelling of 112023032022 in words is "one hundred twelve billion, twenty-three million, thirty-two thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 59 66 99 118 121 177 198 242 297 354 363 531 594 649 726 1062 1089 1298 1331 1593 1947 2178 2662 3186 3267 3894 3993 5841 6534 7139 7986 11682 11979 14278 17523 21417 23958 26417 35046 35937 42834 52834 64251 71874 78529 79251 128502 157058 158502 192753 235587 237753 290587 385506 471174 475506 581174 706761 713259 871761 1413522 1426518 1558603 1743522 2120283 2615283 3117206 3196457 4240566 4675809 5230566 6392914 7845849 9351618 9589371 14027427 15691698 17144633 19178742 28054854 28768113 34289266 35161027 42082281 51433899 57536226 70322054 84164562 86304339 102867798 105483081 154301697 172608678 188590963 210966162 308603394 316449243 377181926 462905091 565772889 632898486 925810182 949347729 1131545778 1697318667 1898695458 2074500593 3394637334 4149001186 5091956001 6223501779 10183912002 12447003558 18670505337 37341010674 56011516011 112023032022