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102022210202220 = 223357112699909091
BaseRepresentation
bin10111001100100111100101…
…100110010010101001101100
3111101020020011020120112222000
4113030213211212102221230
5101333012441302432340
61000552204545252300
730326601322224420
oct2714474546225154
9441206136515860
10102022210202220
112a564415a44690
12b538707934090
1344c0864c491b9
141b29c8931cb80
15bbdc7259cd30
hex5cc9e5992a6c

102022210202220 has 384 divisors, whose sum is σ = 395869565952000. Its totient is φ = 21191542444800.

The previous prime is 102022210202131. The next prime is 102022210202221. The reversal of 102022210202220 is 22202012220201.

102022210202220 is a `hidden beast` number, since 1 + 0 + 20 + 2 + 221 + 0 + 202 + 220 = 666.

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 = 102022210202193 and 102022210202202.

It is not an unprimeable number, because it can be changed into a prime (102022210202221) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 111769875 + ... + 112678965.

It is an arithmetic number, because the mean of its divisors is an integer number (1030910328000).

Almost surely, 2102022210202220 is an apocalyptic number.

102022210202220 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 102022210202220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197934782976000).

102022210202220 is an abundant number, since it is smaller than the sum of its proper divisors (293847355749780).

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

102022210202220 is a wasteful number, since it uses less digits than its factorization.

102022210202220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911826 (or 911818 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 102022210202220 its reverse (22202012220201), we get a palindrome (124224222422421).

The spelling of 102022210202220 in words is "one hundred two trillion, twenty-two billion, two hundred ten million, two hundred two thousand, two hundred twenty".