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101022332120 = 23541277222379
BaseRepresentation
bin101111000010101100…
…1100111010011011000
3100122202102100012021022
41132011121213103120
53123343204111440
6114224203102012
710204266440423
oct1360531472330
9318672305238
10101022332120
1139930522386
12176b4211908
1396ac5686a8
144c64b429ba
152963d7ccb5
hex17856674d8

101022332120 has 64 divisors (see below), whose sum is σ = 233685799200. Its totient is φ = 39280849920.

The previous prime is 101022332111. The next prime is 101022332129. The reversal of 101022332120 is 21233220101.

It is an interprime number because it is at equal distance from previous prime (101022332111) and next prime (101022332129).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101022332129) by changing a digit.

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, 343091 + ... + 565469.

Almost surely, 2101022332120 is an apocalyptic number.

101022332120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101022332120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116842899600).

101022332120 is an abundant number, since it is smaller than the sum of its proper divisors (132663467080).

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

101022332120 is a wasteful number, since it uses less digits than its factorization.

101022332120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222708 (or 222704 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 101022332120 its reverse (21233220101), we get a palindrome (122255552221).

The spelling of 101022332120 in words is "one hundred one billion, twenty-two million, three hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 277 328 410 554 820 1108 1385 1640 2216 2770 5540 11080 11357 22714 45428 56785 90856 113570 222379 227140 444758 454280 889516 1111895 1779032 2223790 4447580 8895160 9117539 18235078 36470156 45587695 61598983 72940312 91175390 123197966 182350780 246395932 307994915 364701560 492791864 615989830 1231979660 2463959320 2525558303 5051116606 10102233212 12627791515 20204466424 25255583030 50511166060 101022332120