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213103021032 = 233211224460861
BaseRepresentation
bin1100011001110111101…
…1100000101111101000
3202101001111221010020200
43012131323200233220
511442413333133112
6241522001152200
721252614535336
oct3063573405750
9671044833220
10213103021032
1182416110900
123537392b660
1317131b51765
14a4583c6b56
155823975cdc
hex319dee0be8

213103021032 has 72 divisors (see below), whose sum is σ = 634392455970. Its totient is φ = 64576670400.

The previous prime is 213103021013. The next prime is 213103021037. The reversal of 213103021032 is 230120301312.

213103021032 is a `hidden beast` number, since 21 + 310 + 302 + 1 + 0 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 188656447716 + 24446573316 = 434346^2 + 156354^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 = 213103020996 and 213103021014.

It is not an unprimeable number, because it can be changed into a prime (213103021037) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12221719 + ... + 12239142.

Almost surely, 2213103021032 is an apocalyptic number.

213103021032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

213103021032 is an abundant number, since it is smaller than the sum of its proper divisors (421289434938).

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

213103021032 is a wasteful number, since it uses less digits than its factorization.

213103021032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24460895 (or 24460877 counting only the distinct ones).

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

Adding to 213103021032 its reverse (230120301312), we get a palindrome (443223322344).

The spelling of 213103021032 in words is "two hundred thirteen billion, one hundred three million, twenty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1452 2178 2904 4356 8712 24460861 48921722 73382583 97843444 146765166 195686888 220147749 269069471 293530332 440295498 538138942 587060664 807208413 880590996 1076277884 1614416826 1761181992 2152555768 2421625239 2959764181 3228833652 4843250478 5919528362 6457667304 8879292543 9686500956 11839056724 17758585086 19373001912 23678113448 26637877629 35517170172 53275755258 71034340344 106551510516 213103021032