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22132310301 = 324021361153
BaseRepresentation
bin10100100111001100…
…000100000100011101
32010010102211212002100
4110213030010010131
5330311332412201
614100100115313
71412313351003
oct244714040435
963112755070
1022132310301
119428126342
124358095b39
1321193991ca
1410dd582a73
15898066886
hex52730411d

22132310301 has 12 divisors (see below), whose sum is σ = 31970210428. Its totient is φ = 14754265344.

The previous prime is 22132310281. The next prime is 22132310329. The reversal of 22132310301 is 10301323122.

22132310301 is a `hidden beast` number, since 2 + 21 + 32 + 310 + 301 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17596287801 + 4536022500 = 132651^2 + 67350^2 .

It is not a de Polignac number, because 22132310301 - 26 = 22132310237 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22132310401) 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, 331341 + ... + 392493.

Almost surely, 222132310301 is an apocalyptic number.

It is an amenable number.

22132310301 is a deficient number, since it is larger than the sum of its proper divisors (9837900127).

22132310301 is a wasteful number, since it uses less digits than its factorization.

22132310301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101372 (or 101369 counting only the distinct ones).

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

Adding to 22132310301 its reverse (10301323122), we get a palindrome (32433633423).

The spelling of 22132310301 in words is "twenty-two billion, one hundred thirty-two million, three hundred ten thousand, three hundred one".

Divisors: 1 3 9 40213 61153 120639 183459 361917 550377 2459145589 7377436767 22132310301