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101012043114 = 2337325624567
BaseRepresentation
bin101111000010011001…
…0010111010101101010
3100122201200222110102000
41132010302113111222
53123333040334424
6114223154351430
710204113125343
oct1360462272552
9318650873360
10101012043114
1139925735074
12176b088b576
1396aa3a5418
144c636250ca
152962ee93c9
hex1784c9756a

101012043114 has 32 divisors (see below), whose sum is σ = 227546163840. Its totient is φ = 33209437536.

The previous prime is 101012043101. The next prime is 101012043127. The reversal of 101012043114 is 411340210101.

101012043114 is a `hidden beast` number, since 101 + 0 + 120 + 431 + 14 = 666.

It is an interprime number because it is at equal distance from previous prime (101012043101) and next prime (101012043127).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 12808342 + ... + 12816225.

It is an arithmetic number, because the mean of its divisors is an integer number (7110817620).

Almost surely, 2101012043114 is an apocalyptic number.

101012043114 is an abundant number, since it is smaller than the sum of its proper divisors (126534120726).

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

101012043114 is a wasteful number, since it uses less digits than its factorization.

101012043114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25624651 (or 25624645 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 101012043114 its reverse (411340210101), we get a palindrome (512352253215).

The spelling of 101012043114 in words is "one hundred one billion, twelve million, forty-three thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 73 146 219 438 657 1314 1971 3942 25624567 51249134 76873701 153747402 230621103 461242206 691863309 1383726618 1870593391 3741186782 5611780173 11223560346 16835340519 33670681038 50506021557 101012043114