Search a number
-
+
10022313041140 = 22519411076011969
BaseRepresentation
bin1001000111011000000001…
…1010001001110011110100
31022111010100020011012000111
42101312000122021303310
52303201144114304030
633152104222552404
72053042155146341
oct221660032116364
938433306135014
1010022313041140
113214491481094
12115a484438704
1357913bac314a
142691226b97c8
15125a83ca962a
hex91d80689cf4

10022313041140 has 96 divisors (see below), whose sum is σ = 22907048572800. Its totient is φ = 3670667182080.

The previous prime is 10022313041123. The next prime is 10022313041177. The reversal of 10022313041140 is 4114031322001.

It is a congruent number.

It is an unprimeable number.

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, 1338925 + ... + 4673044.

It is an arithmetic number, because the mean of its divisors is an integer number (238615089300).

Almost surely, 210022313041140 is an apocalyptic number.

10022313041140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022313041140 is an abundant number, since it is smaller than the sum of its proper divisors (12884735531660).

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

10022313041140 is a wasteful number, since it uses less digits than its factorization.

10022313041140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6012145 (or 6012143 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 10022313041140 its reverse (4114031322001), we get a palindrome (14136344363141).

The spelling of 10022313041140 in words is "ten trillion, twenty-two billion, three hundred thirteen million, forty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 38 41 76 82 95 107 164 190 205 214 380 410 428 535 779 820 1070 1558 2033 2140 3116 3895 4066 4387 7790 8132 8774 10165 15580 17548 20330 21935 40660 43870 83353 87740 166706 333412 416765 833530 1667060 6011969 12023938 24047876 30059845 60119690 114227411 120239380 228454822 246490729 456909644 492981458 571137055 643280683 985962916 1142274110 1232453645 1286561366 2284548220 2464907290 2573122732 3216403415 4683323851 4929814580 6432806830 9366647702 12222332977 12865613660 18733295404 23416619255 24444665954 26374508003 46833238510 48889331908 52749016006 61111664885 93666477020 105498032012 122223329770 131872540015 244446659540 263745080030 501115652057 527490160060 1002231304114 2004462608228 2505578260285 5011156520570 10022313041140