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101100212022 = 2331823660449
BaseRepresentation
bin101111000101000001…
…0101100111100110110
3100122221211212220102010
41132022002230330312
53124023123241042
6114240024225050
710206233423505
oct1361202547466
9318854786363
10101100212022
1139970485737
121771630b186
1396c2735a84
144c7121683c
15296ab1359c
hex178a0acf36

101100212022 has 32 divisors (see below), whose sum is σ = 208976947200. Its totient is φ = 32573295360.

The previous prime is 101100212009. The next prime is 101100212033. The reversal of 101100212022 is 220212001101.

It is a super-3 number, since 3×1011002120223 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101100211989 and 101100212007.

It is a congruent number.

It is an unprimeable number.

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, 177147 + ... + 483302.

It is an arithmetic number, because the mean of its divisors is an integer number (6530529600).

Almost surely, 2101100212022 is an apocalyptic number.

101100212022 is an abundant number, since it is smaller than the sum of its proper divisors (107876735178).

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

101100212022 is a wasteful number, since it uses less digits than its factorization.

101100212022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661308.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101100212022 its reverse (220212001101), we get a palindrome (321312213123).

The spelling of 101100212022 in words is "one hundred one billion, one hundred million, two hundred twelve thousand, twenty-two".

Divisors: 1 2 3 6 31 62 93 186 823 1646 2469 4938 25513 51026 76539 153078 660449 1320898 1981347 3962694 20473919 40947838 61421757 122843514 543549527 1087099054 1630648581 3261297162 16850035337 33700070674 50550106011 101100212022