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101002020020022 = 2311322815544667
BaseRepresentation
bin10110111101110001011101…
…100001100101111100110110
3111020121200212102202121022010
4112331301131201211330312
5101214304114111120042
6554451404253145050
730163104132604422
oct2675613541457466
9436550772677263
10101002020020022
112a200797203000
12b3b2a5018b186
1344485aca783b4
141ad2749645b82
15ba246355059c
hex5bdc5d865f36

101002020020022 has 64 divisors (see below), whose sum is σ = 222286715981568. Its totient is φ = 30593249121600.

The previous prime is 101002020020017. The next prime is 101002020020063. The reversal of 101002020020022 is 220020020200101.

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, 15443733 + ... + 20988399.

It is an arithmetic number, because the mean of its divisors is an integer number (3473229937212).

Almost surely, 2101002020020022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101002020020022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111143357990784).

101002020020022 is an abundant number, since it is smaller than the sum of its proper divisors (121284695961546).

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

101002020020022 is a wasteful number, since it uses less digits than its factorization.

101002020020022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5546986 (or 5546964 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 101002020020022 its reverse (220020020200101), we get a palindrome (321022040220123).

The spelling of 101002020020022 in words is "one hundred one trillion, two billion, twenty million, twenty thousand, twenty-two".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 1331 2281 2662 3993 4562 6843 7986 13686 25091 50182 75273 150546 276001 552002 828003 1656006 3036011 5544667 6072022 9108033 11089334 16634001 18216066 33268002 60991337 121982674 182974011 365948022 670904707 1341809414 2012714121 4025428242 7379951777 12647385427 14759903554 22139855331 25294770854 37942156281 44279710662 75884312562 139121239697 278242479394 417363719091 834727438182 1530333636667 3060667273334 4591000910001 9182001820002 16833670003337 33667340006674 50501010010011 101002020020022