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101012323122 = 23285319933301
BaseRepresentation
bin101111000010011001…
…1011011101100110010
3100122201201111200111200
41132010303123230302
53123333123314442
6114223204352030
710204115402604
oct1360463335462
9318651450450
10101012323122
1139925906487
12176b09a5616
1396aa4729c9
144c63699174
15296305234c
hex1784cdbb32

101012323122 has 48 divisors (see below), whose sum is σ = 219292965528. Its totient is φ = 33604243200.

The previous prime is 101012323091. The next prime is 101012323123. The reversal of 101012323122 is 221323210101.

It can be written as a sum of positive squares in 4 ways, for example, as 59073788601 + 41938534521 = 243051^2 + 204789^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 101012323095 and 101012323104.

It is not an unprimeable number, because it can be changed into a prime (101012323123) 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, 30598872 + ... + 30602172.

Almost surely, 2101012323122 is an apocalyptic number.

101012323122 is an abundant number, since it is smaller than the sum of its proper divisors (118280642406).

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

101012323122 is a wasteful number, since it uses less digits than its factorization.

101012323122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6155 (or 6152 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101012323122 its reverse (221323210101), we get a palindrome (322335533223).

The spelling of 101012323122 in words is "one hundred one billion, twelve million, three hundred twenty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 853 1706 1993 2559 3301 3986 5118 5979 6602 7677 9903 11958 15354 17937 19806 29709 35874 59418 1700029 2815753 3400058 5100087 5631506 6578893 8447259 10200174 13157786 15300261 16894518 19736679 25341777 30600522 39473358 50683554 59210037 118420074 5611795729 11223591458 16835387187 33670774374 50506161561 101012323122