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20020110010974 = 2333140150995849
BaseRepresentation
bin1001000110101010010111…
…00010111010101001011110
32121212220101212222220121000
410203111023202322221132
510111002141130322344
6110325040033251130
74134255663214323
oct443251342725136
977786355886530
1020020110010974
1164195321a5a17
1222b4046403aa6
13b22b716c8a08
144d2d9adbcb4a
1524ab805d2a69
hex12354b8baa5e

20020110010974 has 128 divisors (see below), whose sum is σ = 46055692800000. Its totient is φ = 6439630464000.

The previous prime is 20020110010973. The next prime is 20020110010981. The reversal of 20020110010974 is 47901001102002.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20020110010973) 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 63 ways as a sum of consecutive naturals, for example, 3422823202 + ... + 3422829050.

It is an arithmetic number, because the mean of its divisors is an integer number (359810100000).

Almost surely, 220020110010974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20020110010974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23027846400000).

20020110010974 is an abundant number, since it is smaller than the sum of its proper divisors (26035582789026).

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

20020110010974 is a wasteful number, since it uses less digits than its factorization.

20020110010974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11391 (or 11385 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

Adding to 20020110010974 its reverse (47901001102002), we get a palindrome (67921111112976).

The spelling of 20020110010974 in words is "twenty trillion, twenty billion, one hundred ten million, ten thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 401 558 802 837 1203 1674 2406 3609 5099 5849 7218 10198 10827 11698 12431 15297 17547 21654 24862 30594 35094 37293 45891 52641 74586 91782 105282 111879 137673 157923 158069 181319 223758 275346 315846 316138 335637 362638 474207 543957 671274 948414 1087914 1422621 1631871 2044699 2345449 2845242 3263742 4089398 4267863 4690898 4895613 6134097 7036347 8535726 9791226 12268194 14072694 18402291 21109041 29824051 36804582 42218082 55206873 59648102 63327123 63385669 72708919 89472153 110413746 126654246 126771338 145417838 178944306 190157007 218126757 268416459 380314014 436253514 536832918 570471021 654380271 805249377 924545581 1140942042 1308760542 1610498754 1711413063 1849091162 1963140813 2773636743 3422826126 3926281626 5547273486 8320910229 11959444451 16641820458 23918888902 24962730687 35878333353 49925461374 71756666706 107635000059 215270000118 322905000177 370742777981 645810000354 741485555962 1112228333943 2224456667886 3336685001829 6673370003658 10010055005487 20020110010974