Search a number
-
+
221101022001020 = 22574778573304949
BaseRepresentation
bin110010010001011100010111…
…111000000011011101111100
31001222212001101101020100210112
4302101130113320003131330
5212440004343113013040
62102124223550125152
764400010304046660
oct6221342770033574
91058761341210715
10221101022001020
11644a4464911917
122096aa38ab07b8
13964a976cbc1c5
143c854bcd828a0
151a865294a1365
hexc91717e0377c

221101022001020 has 48 divisors (see below), whose sum is σ = 530643723825600. Its totient is φ = 75805883111424.

The previous prime is 221101022001011. The next prime is 221101022001037. The reversal of 221101022001020 is 20100220101122.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 221101022000986 and 221101022001004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65247506 + ... + 68552454.

It is an arithmetic number, because the mean of its divisors is an integer number (11055077579700).

Almost surely, 2221101022001020 is an apocalyptic number.

221101022001020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221101022001020 is an abundant number, since it is smaller than the sum of its proper divisors (309542701824580).

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

221101022001020 is a wasteful number, since it uses less digits than its factorization.

221101022001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3782822 (or 3782820 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 221101022001020 its reverse (20100220101122), we get a palindrome (241201242102142).

The spelling of 221101022001020 in words is "two hundred twenty-one trillion, one hundred one billion, twenty-two million, one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 477857 955714 1911428 2389285 3304949 3344999 4778570 6609898 6689998 9557140 13219796 13379996 16524745 16724995 23134643 33049490 33449990 46269286 66098980 66899980 92538572 115673215 231346430 462692860 1579293014293 3158586028586 6317172057172 7896465071465 11055051100051 15792930142930 22110102200102 31585860285860 44220204400204 55275255500255 110550511000510 221101022001020