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10222142230311 = 31110915118820213
BaseRepresentation
bin1001010011000000011100…
…1010000000111100100111
31100012020010200000210002220
42110300013022000330213
52314434421402332221
633423553132003423
72103345133216524
oct224600712007447
940166120023086
1010222142230311
113291205886610
121191152900573
13591c36907c0b
14274a7bc1614b
1512ad7c23d0c6
hex94c07280f27

10222142230311 has 32 divisors (see below), whose sum is σ = 15104350947840. Its totient is φ = 6097748688000.

The previous prime is 10222142230301. The next prime is 10222142230331. The reversal of 10222142230311 is 11303224122201.

It is not a de Polignac number, because 10222142230311 - 210 = 10222142229287 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222142230301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8866960 + ... + 9953253.

It is an arithmetic number, because the mean of its divisors is an integer number (472010967120).

Almost surely, 210222142230311 is an apocalyptic number.

10222142230311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10222142230311 is a deficient number, since it is larger than the sum of its proper divisors (4882208717529).

10222142230311 is a wasteful number, since it uses less digits than its factorization.

10222142230311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18820487.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 10222142230311 its reverse (11303224122201), we get a palindrome (21525366352512).

It can be divided in two parts, 1022214 and 2230311, that added together give a triangular number (3252525 = T2550).

The spelling of 10222142230311 in words is "ten trillion, two hundred twenty-two billion, one hundred forty-two million, two hundred thirty thousand, three hundred eleven".

Divisors: 1 3 11 33 109 151 327 453 1199 1661 3597 4983 16459 49377 181049 543147 18820213 56460639 207022343 621067029 2051403217 2841852163 6154209651 8525556489 22565435387 31260373793 67696306161 93781121379 309761885767 929285657301 3407380743437 10222142230311