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22132110430431 = 322984797357971
BaseRepresentation
bin1010000100001000010001…
…00101001001000011011111
32220100210211211101120112200
411002010020211021003133
510400103030232233211
6115023203504102543
74442664220452501
oct502041045110337
986323754346480
1022132110430431
1170631a239a631
122595427004a53
13c47083a20221
145672b25b9d71
15285a910eeb56
hex1421089490df

22132110430431 has 12 divisors (see below), whose sum is σ = 33070969609080. Its totient is φ = 14245956138960.

The previous prime is 22132110430427. The next prime is 22132110430459. The reversal of 22132110430431 is 13403401123122.

22132110430431 is a `hidden beast` number, since 2 + 2 + 1 + 321 + 1 + 0 + 4 + 304 + 31 = 666.

It is not a de Polignac number, because 22132110430431 - 22 = 22132110430427 is a prime.

It is a super-2 number, since 2×221321104304312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22132110430395 and 22132110430404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22132110430411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42398678725 + ... + 42398679246.

It is an arithmetic number, because the mean of its divisors is an integer number (2755914134090).

Almost surely, 222132110430431 is an apocalyptic number.

22132110430431 is a deficient number, since it is larger than the sum of its proper divisors (10938859178649).

22132110430431 is a wasteful number, since it uses less digits than its factorization.

22132110430431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84797358006 (or 84797358003 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 22132110430431 its reverse (13403401123122), we get a palindrome (35535511553553).

The spelling of 22132110430431 in words is "twenty-two trillion, one hundred thirty-two billion, one hundred ten million, four hundred thirty thousand, four hundred thirty-one".

Divisors: 1 3 9 29 87 261 84797357971 254392073913 763176221739 2459123381159 7377370143477 22132110430431