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102022112010222 = 23217931664218501
BaseRepresentation
bin10111001100100111011111…
…101111101101111111101110
3111101020012220101210212212100
4113030213133233231333232
5101333012241133311342
61000552151120515530
730326566020502365
oct2714473757557756
9441205811725770
10102022112010222
112a564375578578
12b53869aa7bba6
1344c084a7b9621
141b29c7a27c7dc
15bbdc68b53e4c
hex5cc9dfbedfee

102022112010222 has 24 divisors (see below), whose sum is σ = 222282813884040. Its totient is φ = 33817385358000.

The previous prime is 102022112010167. The next prime is 102022112010227. The reversal of 102022112010222 is 222010211220201.

It is a happy number.

102022112010222 is a `hidden beast` number, since 1 + 0 + 20 + 221 + 1 + 201 + 0 + 222 = 666.

It is a super-2 number, since 2×1020221120102222 (a number of 29 digits) contains 22 as substring.

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 = 102022112010195 and 102022112010204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102022112010227) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15832106029 + ... + 15832112472.

It is an arithmetic number, because the mean of its divisors is an integer number (9261783911835).

Almost surely, 2102022112010222 is an apocalyptic number.

102022112010222 is an abundant number, since it is smaller than the sum of its proper divisors (120260701873818).

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

102022112010222 is a wasteful number, since it uses less digits than its factorization.

102022112010222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31664218688 (or 31664218685 counting only the distinct ones).

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

Adding to 102022112010222 its reverse (222010211220201), we get a palindrome (324032323230423).

The spelling of 102022112010222 in words is "one hundred two trillion, twenty-two billion, one hundred twelve million, ten thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 179 358 537 1074 1611 3222 31664218501 63328437002 94992655503 189985311006 284977966509 569955933018 5667895111679 11335790223358 17003685335037 34007370670074 51011056005111 102022112010222