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101221242342 = 231117117177041
BaseRepresentation
bin101111001000101000…
…0011001010111100110
3100200021021121212210120
41132101100121113212
53124300114223332
6114300030302410
710212233235543
oct1362120312746
9320237555716
10101221242342
1139a228305a0
121774a957a06
13971183094c
144c8331dbca
15297656e32c
hex17914195e6

101221242342 has 64 divisors (see below), whose sum is σ = 234040036608. Its totient is φ = 28843776000.

The previous prime is 101221242301. The next prime is 101221242347. The reversal of 101221242342 is 243242122101.

101221242342 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101221242347) 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, 1275342 + ... + 1352382.

It is an arithmetic number, because the mean of its divisors is an integer number (3656875572).

Almost surely, 2101221242342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101221242342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117020018304).

101221242342 is an abundant number, since it is smaller than the sum of its proper divisors (132818794266).

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

101221242342 is a wasteful number, since it uses less digits than its factorization.

101221242342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78245.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 101221242342 its reverse (243242122101), we get a palindrome (344463364443).

The spelling of 101221242342 in words is "one hundred one billion, two hundred twenty-one million, two hundred forty-two thousand, three hundred forty-two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 374 561 1122 1171 2342 3513 7026 12881 19907 25762 38643 39814 59721 77041 77286 119442 154082 218977 231123 437954 462246 656931 847451 1309697 1313862 1694902 2542353 2619394 3929091 5084706 7858182 14406667 28813334 43220001 86440002 90215011 180430022 270645033 541290066 992365121 1533655187 1984730242 2977095363 3067310374 4600965561 5954190726 9201931122 16870207057 33740414114 50610621171 101221242342