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101220120222 = 231359151145661
BaseRepresentation
bin101111001000100110…
…0000111011010011110
3100200021012111212112120
41132101030013122132
53124244322321342
6114255550243410
710212220553214
oct1362114073236
9320235455476
10101220120222
1139a22134521
121774a4b6566
139711529c80
144c8310acb4
1529763ebaec
hex179130769e

101220120222 has 64 divisors (see below), whose sum is σ = 223177489920. Its totient is φ = 30413808000.

The previous prime is 101220120191. The next prime is 101220120227. The reversal of 101220120222 is 222021022101.

It is a super-2 number, since 2×1012201202222 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101220120227) 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 31 ways as a sum of consecutive naturals, for example, 622072 + ... + 767732.

It is an arithmetic number, because the mean of its divisors is an integer number (3487148280).

Almost surely, 2101220120222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101220120222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111588744960).

101220120222 is an abundant number, since it is smaller than the sum of its proper divisors (121957369698).

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

101220120222 is a wasteful number, since it uses less digits than its factorization.

101220120222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145889.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 101220120222 its reverse (222021022101), we get a palindrome (323241142323).

The spelling of 101220120222 in words is "one hundred one billion, two hundred twenty million, one hundred twenty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 13 26 39 59 78 118 151 177 302 354 453 767 906 1534 1963 2301 3926 4602 5889 8909 11778 17818 26727 53454 115817 145661 231634 291322 347451 436983 694902 873966 1893593 3787186 5680779 8593999 11361558 17187998 21994811 25781997 43989622 51563994 65984433 111721987 131968866 223443974 285932543 335165961 571865086 670331922 857797629 1297693849 1715595258 2595387698 3893081547 7786163094 16870020037 33740040074 50610060111 101220120222