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102122001212022 = 234114715726928871
BaseRepresentation
bin10111001110000100100001…
…100110110010001001110110
3111101120202201211222002120000
4113032010201212302021312
5101341131324302241042
61001110111045052130
730340033250633151
oct2716044146621166
9441522654862500
10102122001212022
112a5a2774407310
12b553b176b7046
1344ca0a93745ac
141b30a346dac98
15bc16632a474c
hex5ce1219b2276

102122001212022 has 320 divisors, whose sum is σ = 257529407477760. Its totient is φ = 29981804486400.

The previous prime is 102122001212009. The next prime is 102122001212039. The reversal of 102122001212022 is 220212100221201.

It is a happy number.

102122001212022 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 102122001211986 and 102122001212004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3537168247 + ... + 3537197117.

It is an arithmetic number, because the mean of its divisors is an integer number (804779398368).

Almost surely, 2102122001212022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102122001212022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128764703738880).

102122001212022 is an abundant number, since it is smaller than the sum of its proper divisors (155407406265738).

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

102122001212022 is a wasteful number, since it uses less digits than its factorization.

102122001212022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29369 (or 29360 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102122001212022 its reverse (220212100221201), we get a palindrome (322334101433223).

The spelling of 102122001212022 in words is "one hundred two trillion, one hundred twenty-two billion, one million, two hundred twelve thousand, twenty-two".