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102022221012008 = 231121159910099091
BaseRepresentation
bin10111001100100111100110…
…001111100001110000101000
3111101020020011222220202012112
4113030213212033201300220
5101333013002034341013
61000552210013101452
730326601513136013
oct2714474617416050
9441206158822175
10102022221012008
112a5644210581a0
12b53870b487888
1344c086726251b
141b29c8a93437a
15bbdc734d5ba8
hex5cc9e63e1c28

102022221012008 has 128 divisors (see below), whose sum is σ = 210252136320000. Its totient is φ = 46026175104000.

The previous prime is 102022221012007. The next prime is 102022221012149. The reversal of 102022221012008 is 800210122220201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (102022221012007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11222327543 + ... + 11222336633.

It is an arithmetic number, because the mean of its divisors is an integer number (1642594815000).

Almost surely, 2102022221012008 is an apocalyptic number.

It is an amenable number.

102022221012008 is an abundant number, since it is smaller than the sum of its proper divisors (108229915307992).

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

102022221012008 is a wasteful number, since it uses less digits than its factorization.

102022221012008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10927 (or 10923 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

Adding to 102022221012008 its reverse (800210122220201), we get a palindrome (902232343232209).

The spelling of 102022221012008 in words is "one hundred two trillion, twenty-two billion, two hundred twenty-one million, twelve thousand, eight".

Divisors: 1 2 4 8 11 22 44 88 211 422 599 844 1009 1198 1688 2018 2321 2396 4036 4642 4792 6589 8072 9091 9284 11099 13178 18182 18568 22198 26356 36364 44396 52712 72728 88792 100001 126389 200002 212899 252778 400004 425798 505556 604391 800008 851596 1011112 1208782 1390279 1703192 1918201 2341889 2417564 2780558 3836402 4683778 4835128 5445509 5561116 6648301 7672804 9172819 9367556 10891018 11122232 13296602 15345608 18345638 18735112 21100211 21782036 26593204 36691276 42200422 43564072 53186408 59900599 73382552 84400844 100901009 119801198 127526501 168801688 201802018 239602396 255053002 403604036 479204792 510106004 807208072 1020212008 1149002399 1402791511 1935464809 2298004798 2805583022 3870929618 4596009596 5494518581 5611166044 7741859236 9192019192 10989037162 11222332088 12639026389 15483718472 21290112899 21978074324 25278052778 42580225798 43956148648 50556105556 60439704391 85160451596 101112211112 120879408782 170320903192 241758817564 483517635128 1159343420591 2318686841182 4637373682364 9274747364728 12752777626501 25505555253002 51011110506004 102022221012008