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102022020168 = 2331710711320681
BaseRepresentation
bin101111100000011111…
…1000111110001001000
3100202100002102121110120
41133000333013301020
53132420114121133
6114511313543240
710241125602015
oct1370077076110
9322302377416
10102022020168
113a2a3852852
1217932b74b20
13980b6c6893
144d1b80c70c
1529c19ebab3
hex17c0fc7c48

102022020168 has 128 divisors (see below), whose sum is σ = 275007726720. Its totient is φ = 31425658880.

The previous prime is 102022020167. The next prime is 102022020187. The reversal of 102022020168 is 861020220201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (102022020167) 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, 4922788 + ... + 4943468.

It is an arithmetic number, because the mean of its divisors is an integer number (2148497865).

Almost surely, 2102022020168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102022020168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137503863360).

102022020168 is an abundant number, since it is smaller than the sum of its proper divisors (172985706552).

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

102022020168 is a wasteful number, since it uses less digits than its factorization.

102022020168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20927 (or 20923 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 102022020168 its reverse (861020220201), we get a palindrome (963042240369).

The spelling of 102022020168 in words is "one hundred two billion, twenty-two million, twenty thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 107 113 136 204 214 226 321 339 408 428 452 642 678 856 904 1284 1356 1819 1921 2568 2712 3638 3842 5457 5763 7276 7684 10914 11526 12091 14552 15368 20681 21828 23052 24182 36273 41362 43656 46104 48364 62043 72546 82724 96728 124086 145092 165448 205547 248172 290184 351577 411094 496344 616641 703154 822188 1054731 1233282 1406308 1644376 2109462 2212867 2336953 2466564 2812616 4218924 4425734 4673906 4933128 6638601 7010859 8437848 8851468 9347812 13277202 14021718 17702936 18695624 26554404 28043436 37618739 39728201 53108808 56086872 75237478 79456402 112856217 119184603 150474956 158912804 225712434 238369206 250053971 300949912 317825608 451424868 476738412 500107942 750161913 902849736 953476824 1000215884 1500323826 2000431768 3000647652 4250917507 6001295304 8501835014 12752752521 17003670028 25505505042 34007340056 51011010084 102022020168