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101222311134 = 2377137679011
BaseRepresentation
bin101111001000101010…
…0011110010011011110
3100200021100122011220110
41132101110132103132
53124300402424014
6114300105230450
710212245306550
oct1362124362336
9320240564813
10101222311134
1139a233a059a
121774b192426
139711b16279
144c8351b4d0
1529766d0d59
hex179151e4de

101222311134 has 64 divisors (see below), whose sum is σ = 234712276992. Its totient is φ = 28502594400.

The previous prime is 101222311093. The next prime is 101222311147. The reversal of 101222311134 is 431113222101.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 101222311134.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11228689 + ... + 11237699.

It is an arithmetic number, because the mean of its divisors is an integer number (3667379328).

Almost surely, 2101222311134 is an apocalyptic number.

101222311134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101222311134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117356138496).

101222311134 is an abundant number, since it is smaller than the sum of its proper divisors (133489965858).

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

101222311134 is a wasteful number, since it uses less digits than its factorization.

101222311134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12861.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 101222311134 its reverse (431113222101), we get a palindrome (532335533235).

The spelling of 101222311134 in words is "one hundred one billion, two hundred twenty-two million, three hundred eleven thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 71 142 213 426 497 994 1491 2982 3767 7534 9011 11301 18022 22602 26369 27033 52738 54066 63077 79107 126154 158214 189231 267457 378462 534914 639781 802371 1279562 1604742 1872199 1919343 3744398 3838686 4478467 5616597 8956934 11233194 13435401 26870802 33944437 67888874 101833311 203666622 237611059 475222118 712833177 1425666354 2410055027 4820110054 7230165081 14460330162 16870385189 33740770378 50611155567 101222311134