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20021111112002 = 271113531031831939
BaseRepresentation
bin1001000110101100001110…
…01101110100000101000010
32121212222222122202010000212
410203112013031310011002
510111011213421041002
6110325323234314122
74134322540352240
oct443260715640502
977788878663025
1020021111112002
1164199a6300a40
1222b4285728942
13b22ca0c300a0
144d3053d35790
1524abdd430352
hex123587374142

20021111112002 has 128 divisors (see below), whose sum is σ = 41481921761280. Its totient is φ = 6995951389440.

The previous prime is 20021111111987. The next prime is 20021111112011.

20021111112002 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (14).

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 63 ways as a sum of consecutive naturals, for example, 10012949 + ... + 11844887.

It is an arithmetic number, because the mean of its divisors is an integer number (324077513760).

Almost surely, 220021111112002 is an apocalyptic number.

20021111112002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20021111112002 is an abundant number, since it is smaller than the sum of its proper divisors (21460810649278).

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

20021111112002 is a wasteful number, since it uses less digits than its factorization.

20021111112002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1832128.

The product of its (nonzero) digits is 16, while the sum is 14.

It can be divided in two parts, 2002111 and 1112002, that added together give a palindrome (3114113).

The spelling of 20021111112002 in words is "twenty trillion, twenty-one billion, one hundred eleven million, one hundred twelve thousand, two".

Divisors: 1 2 7 11 13 14 22 26 53 77 91 103 106 143 154 182 206 286 371 583 689 721 742 1001 1133 1166 1339 1378 1442 2002 2266 2678 4081 4823 5459 7579 7931 8162 9373 9646 10918 14729 15158 15862 18746 29458 38213 53053 60049 70967 76426 103103 106106 120098 141934 206206 420343 496769 780637 840686 993538 1561274 1831939 3663878 5464459 10928918 12823573 20151329 23815207 25647146 40302658 47630414 97092767 141059303 166706449 188689717 194185534 261967277 282118606 333412898 377379434 523934554 679649369 1068020437 1262205971 1320828019 1359298738 1833770939 2075586887 2136040874 2452966321 2524411942 2641656038 3667541878 4151173774 4905932642 7476143059 8835441797 10000555001 13884265681 14529108209 14952286118 17170764247 17670883594 20001110002 26982629531 27768531362 29058216418 34341528494 53965259062 70003885007 97189859767 110006105011 130007215013 140007770014 188878406717 194379719534 220012210022 260014430026 377756813434 770042735077 910050505091 1430079365143 1540085470154 1820101010182 2860158730286 10010555556001 20021111112002