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220102202101032 = 23327945138476231
BaseRepresentation
bin110010000010111010001001…
…100100100000110100101000
31001212022120020220101020012100
4302002322021210200310220
5212322123302214213112
62100041320013213400
764234600516014516
oct6202721144406450
91055276226336170
10220102202101032
1164149902040599
1220829346191260
1395a771936b0c4
143c4d0095694b6
151a6a56b6442dc
hexc82e89920d28

220102202101032 has 48 divisors (see below), whose sum is σ = 596117649048480. Its totient is φ = 73366475364000.

The previous prime is 220102202100889. The next prime is 220102202101039. The reversal of 220102202101032 is 230101202201022.

220102202101032 is a `hidden beast` number, since 2 + 201 + 0 + 220 + 210 + 1 + 0 + 32 = 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 = 220102202100996 and 220102202101014.

It is not an unprimeable number, because it can be changed into a prime (220102202101039) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13517644 + ... + 24958587.

It is an arithmetic number, because the mean of its divisors is an integer number (12419117688510).

Almost surely, 2220102202101032 is an apocalyptic number.

It is an amenable number.

220102202101032 is an abundant number, since it is smaller than the sum of its proper divisors (376015446947448).

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

220102202101032 is a wasteful number, since it uses less digits than its factorization.

220102202101032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38555694 (or 38555687 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 220102202101032 its reverse (230101202201022), we get a palindrome (450203404302054).

The spelling of 220102202101032 in words is "two hundred twenty trillion, one hundred two billion, two hundred two million, one hundred one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 79451 158902 238353 317804 476706 635608 715059 953412 1430118 1906824 2860236 5720472 38476231 76952462 115428693 153904924 230857386 307809848 346286079 461714772 692572158 923429544 1385144316 2770288632 3056975029181 6113950058362 9170925087543 12227900116724 18341850175086 24455800233448 27512775262629 36683700350172 55025550525258 73367400700344 110051101050516 220102202101032