Search a number
-
+
112100021220 = 223511533204689
BaseRepresentation
bin110100001100110101…
…1101001001111100100
3101201100102222002220210
41220121223221033210
53314040101134340
6123255324255420
711045641313205
oct1503153511744
9351312862823
10112100021220
11435a55a3140
12198860a1570
13a7565c4605
1455d60775ac
152db1666180
hex1a19ae93e4

112100021220 has 96 divisors (see below), whose sum is σ = 348875372160. Its totient is φ = 26663004160.

The previous prime is 112100021213. The next prime is 112100021251. The reversal of 112100021220 is 22120001211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 112100021196 and 112100021205.

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 31 ways as a sum of consecutive naturals, for example, 1567365 + ... + 1637324.

It is an arithmetic number, because the mean of its divisors is an integer number (3634118460).

Almost surely, 2112100021220 is an apocalyptic number.

112100021220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112100021220 is an abundant number, since it is smaller than the sum of its proper divisors (236775350940).

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

112100021220 is a wasteful number, since it uses less digits than its factorization.

112100021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3204765 (or 3204763 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 112100021220 its reverse (22120001211), we get a palindrome (134220022431).

The spelling of 112100021220 in words is "one hundred twelve billion, one hundred million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 53 55 60 66 106 110 132 159 165 212 220 265 318 330 530 583 636 660 795 1060 1166 1590 1749 2332 2915 3180 3498 5830 6996 8745 11660 17490 34980 3204689 6409378 9614067 12818756 16023445 19228134 32046890 35251579 38456268 48070335 64093780 70503158 96140670 105754737 141006316 169848517 176257895 192281340 211509474 339697034 352515790 423018948 509545551 528773685 679394068 705031580 849242585 1019091102 1057547370 1698485170 1868333687 2038182204 2115094740 2547727755 3396970340 3736667374 5095455510 5605001061 7473334748 9341668435 10190911020 11210002122 18683336870 22420004244 28025005305 37366673740 56050010610 112100021220