Search a number
-
+
112033123020 = 223257136839629
BaseRepresentation
bin110100001010110110…
…0011100101011001100
3101201011210002022211200
41220111230130223030
53313420434414040
6123244534345500
711044166555550
oct1502554345314
9351153068750
10112033123020
1143570860575
12198677bb290
13a7457a0890
1455cb221860
152daa84e630
hex1a15b1cacc

112033123020 has 144 divisors (see below), whose sum is σ = 418257053760. Its totient is φ = 23637754368.

The previous prime is 112033123003. The next prime is 112033123039. The reversal of 112033123020 is 20321330211.

112033123020 is a `hidden beast` number, since 11 + 20 + 331 + 2 + 302 + 0 = 666.

It is a super-2 number, since 2×1120331230202 (a number of 23 digits) contains 22 as substring.

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 = 112033122984 and 112033123002.

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, 3403435 + ... + 3436194.

Almost surely, 2112033123020 is an apocalyptic number.

112033123020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112033123020 is an abundant number, since it is smaller than the sum of its proper divisors (306223930740).

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

112033123020 is a wasteful number, since it uses less digits than its factorization.

112033123020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6839664 (or 6839659 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 112033123020 its reverse (20321330211), we get a palindrome (132354453231).

The spelling of 112033123020 in words is "one hundred twelve billion, thirty-three million, one hundred twenty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 26 28 30 35 36 39 42 45 52 60 63 65 70 78 84 90 91 105 117 126 130 140 156 180 182 195 210 234 252 260 273 315 364 390 420 455 468 546 585 630 780 819 910 1092 1170 1260 1365 1638 1820 2340 2730 3276 4095 5460 8190 16380 6839629 13679258 20518887 27358516 34198145 41037774 47877403 61556661 68396290 82075548 88915177 95754806 102594435 123113322 136792580 143632209 177830354 191509612 205188870 239387015 246226644 266745531 287264418 307783305 355660708 410377740 430896627 444575885 478774030 533491062 574528836 615566610 622406239 718161045 800236593 861793254 889151770 957548060 1066982124 1231133220 1244812478 1333727655 1436322090 1600473186 1723586508 1778303540 1867218717 2154483135 2489624956 2667455310 2872644180 3112031195 3200946372 3734437434 4001182965 4308966270 5334910620 5601656151 6224062390 7468874868 8002365930 8617932540 9336093585 11203312302 12448124780 16004731860 18672187170 22406624604 28008280755 37344374340 56016561510 112033123020