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101211311142 = 23261458320113
BaseRepresentation
bin101111001000010101…
…0100000110000100110
3100200020120221022202100
41132100222200300212
53124240043424032
6114255033352530
710212052643604
oct1362052406046
9320216838670
10101211311142
1139a18168097
1217747568746
13970c7644b6
144c81c96874
15297575b97c
hex1790aa0c26

101211311142 has 48 divisors (see below), whose sum is σ = 222945828768. Its totient is φ = 33175146240.

The previous prime is 101211311111. The next prime is 101211311143. The reversal of 101211311142 is 241113112101.

101211311142 is a `hidden beast` number, since 1 + 0 + 1 + 211 + 311 + 142 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101211311143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5022078 + ... + 5042190.

It is an arithmetic number, because the mean of its divisors is an integer number (4644704766).

Almost surely, 2101211311142 is an apocalyptic number.

101211311142 is an abundant number, since it is smaller than the sum of its proper divisors (121734517626).

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

101211311142 is a wasteful number, since it uses less digits than its factorization.

101211311142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24765 (or 24762 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 101211311142 its reverse (241113112101), we get a palindrome (342324423243).

The spelling of 101211311142 in words is "one hundred one billion, two hundred eleven million, three hundred eleven thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 61 122 183 366 549 1098 4583 9166 13749 20113 27498 40226 41247 60339 82494 120678 181017 279563 362034 559126 838689 1226893 1677378 2453786 2516067 3680679 5032134 7361358 11042037 22084074 92177879 184355758 276533637 553067274 829600911 1659201822 5622850619 11245701238 16868551857 33737103714 50605655571 101211311142