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114511211214132 = 22355717132138123
BaseRepresentation
bin11010000010010110111000…
…000100010011010100110100
3120000110011110012022212211210
4122002112320010103110310
5110002122430032323012
61043313420232201420
733056106364246665
oct3202267004232464
9500404405285753
10114511211214132
1133539a2847a387
1210a15058b39270
134bb848cb24975
14203c52d43536c
15d38a756b223c
hex6825b8113534

114511211214132 has 24 divisors (see below), whose sum is σ = 267672526049376. Its totient is φ = 38101875183328.

The previous prime is 114511211214107. The next prime is 114511211214137. The reversal of 114511211214132 is 231412112115411.

It is a happy number.

It is a super-2 number, since 2×1145112112141322 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 114511211214132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114511211214137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8566062378 + ... + 8566075745.

It is an arithmetic number, because the mean of its divisors is an integer number (11153021918724).

Almost surely, 2114511211214132 is an apocalyptic number.

114511211214132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114511211214132 is an abundant number, since it is smaller than the sum of its proper divisors (153161314835244).

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

114511211214132 is a wasteful number, since it uses less digits than its factorization.

114511211214132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17132138687 (or 17132138685 counting only the distinct ones).

The product of its digits is 1920, while the sum is 30.

Adding to 114511211214132 its reverse (231412112115411), we get a palindrome (345923323329543).

The spelling of 114511211214132 in words is "one hundred fourteen trillion, five hundred eleven billion, two hundred eleven million, two hundred fourteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 557 1114 1671 2228 3342 6684 17132138123 34264276246 51396414369 68528552492 102792828738 205585657476 9542600934511 19085201869022 28627802803533 38170403738044 57255605607066 114511211214132