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134220022431 = 31110782346187
BaseRepresentation
bin111110100000000100…
…0110000001010011111
3110211110000122121002220
41331000020300022133
54144340311204211
6141354304520423
712461045236515
oct1750010601237
9424400577086
10134220022431
1151a16781480
122201a020113
13c870270c21
1466d3b344b5
15375859a806
hex1f4023029f

134220022431 has 32 divisors (see below), whose sum is σ = 197297399808. Its totient is φ = 80485571040.

The previous prime is 134220022411. The next prime is 134220022459.

It is a happy number.

134220022431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 134220022431 - 25 = 134220022399 is a prime.

It is a super-2 number, since 2×1342200224312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134220022411) 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, 2882920 + ... + 2929106.

It is an arithmetic number, because the mean of its divisors is an integer number (6165543744).

Almost surely, 2134220022431 is an apocalyptic number.

134220022431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

134220022431 is a deficient number, since it is larger than the sum of its proper divisors (63077377377).

134220022431 is a wasteful number, since it uses less digits than its factorization.

134220022431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47131.

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 1342200 and 22431, that added together give a palindrome (1364631).

The spelling of 134220022431 in words is "one hundred thirty-four billion, two hundred twenty million, twenty-two thousand, four hundred thirty-one".

Divisors: 1 3 11 33 107 321 823 1177 2469 3531 9053 27159 46187 88061 138561 264183 508057 968671 1524171 2906013 4942009 14826027 38011901 54362099 114035703 163086297 418130911 1254392733 4067273407 12201820221 44740007477 134220022431