Search a number
-
+
11122112021220 = 2233529710224267
BaseRepresentation
bin1010000111011001000110…
…0010010100001011100100
31110101021010002222002021000
42201312101202110023210
52424211041134134340
635353232215553300
72225355206221104
oct241662142241344
943337102862230
1011122112021220
1135a8952312912
1212b765898b830
13628a70047b05
142a64551b7204
151444a1c9dd30
hexa1d918942e4

11122112021220 has 96 divisors (see below), whose sum is σ = 35795303107200. Its totient is φ = 2863624240512.

The previous prime is 11122112021201. The next prime is 11122112021239. The reversal of 11122112021220 is 2212021122111.

11122112021220 is a `hidden beast` number, since 111 + 221 + 120 + 212 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11122112021201) and next prime (11122112021239).

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 = 11122112021193 and 11122112021202.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 355096474 + ... + 355127793.

It is an arithmetic number, because the mean of its divisors is an integer number (372867740700).

Almost surely, 211122112021220 is an apocalyptic number.

11122112021220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11122112021220 is an abundant number, since it is smaller than the sum of its proper divisors (24673191085980).

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

11122112021220 is a wasteful number, since it uses less digits than its factorization.

11122112021220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710224314 (or 710224306 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11122112021220 its reverse (2212021122111), we get a palindrome (13334133143331).

The spelling of 11122112021220 in words is "eleven trillion, one hundred twenty-two billion, one hundred twelve million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 87 90 108 116 135 145 174 180 261 270 290 348 435 522 540 580 783 870 1044 1305 1566 1740 2610 3132 3915 5220 7830 15660 710224267 1420448534 2130672801 2840897068 3551121335 4261345602 6392018403 7102242670 8522691204 10653364005 12784036806 14204485340 19176055209 20596503743 21306728010 25568073612 31960092015 38352110418 41193007486 42613456020 61789511229 63920184030 76704220836 82386014972 95880276045 102982518715 123579022458 127840368060 185368533687 191760552090 205965037430 247158044916 308947556145 370737067374 383521104180 411930074860 556105601061 617895112290 741474134748 926842668435 1112211202122 1235790224580 1853685336870 2224422404244 2780528005305 3707370673740 5561056010610 11122112021220