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20024110211130 = 23255311257372917
BaseRepresentation
bin1001000110110001110011…
…11110011110000000111010
32121220021201200002010121100
410203120321332132000322
510111033334203224010
6110330541011352230
74134460055313414
oct443307176360072
977807650063540
1020024110211130
1164201a5206563
1222b4981bb2676
13b2335b38a55c
144d325a3859b4
1524ad168972c0
hex123639f9e03a

20024110211130 has 96 divisors (see below), whose sum is σ = 53049855824784. Its totient is φ = 5238533035008.

The previous prime is 20024110211111. The next prime is 20024110211141. The reversal of 20024110211130 is 3111201142002.

20024110211130 is a `hidden beast` number, since 200 + 2 + 411 + 0 + 21 + 1 + 1 + 30 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 10035482701689 + 9988627509441 = 3167883^2 + 3160479^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 53509432 + ... + 53882348.

Almost surely, 220024110211130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20024110211130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26524927912392).

20024110211130 is an abundant number, since it is smaller than the sum of its proper divisors (33025745613654).

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

20024110211130 is a wasteful number, since it uses less digits than its factorization.

20024110211130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384240 (or 384237 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 20024110211130 its reverse (3111201142002), we get a palindrome (23135311353132).

The spelling of 20024110211130 in words is "twenty trillion, twenty-four billion, one hundred ten million, two hundred eleven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 90 106 159 265 318 477 530 795 954 1590 2385 4770 11257 22514 33771 56285 67542 101313 112570 168855 202626 337710 372917 506565 596621 745834 1013130 1118751 1193242 1789863 1864585 2237502 2983105 3356253 3579726 3729170 5369589 5593755 5966210 6712506 8949315 10739178 11187510 16781265 17898630 19764601 26847945 33562530 39529202 53695890 59293803 98823005 118587606 177881409 197646010 296469015 355762818 592938030 889407045 1778814090 4197926669 8395853338 12593780007 20989633345 25187560014 37781340021 41979266690 62968900035 75562680042 125937800070 188906700105 222490113457 377813400210 444980226914 667470340371 1112450567285 1334940680742 2002411021113 2224901134570 3337351701855 4004822042226 6674703403710 10012055105565 20024110211130