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21000020000112 = 2432269593914219
BaseRepresentation
bin1001100011001011100101…
…01110110111110101110000
32202100120201111112001010200
410301211302232313311300
510223031020110000422
6112355135341155200
74265126033540166
oct461456256676560
982316644461120
1021000020000112
11676707090334a
122431b4025bb00
13b943a7762a5a
145285991cd236
152663d324d2ac
hex131972bb7d70

21000020000112 has 120 divisors (see below), whose sum is σ = 59088909250800. Its totient is φ = 6962216208384.

The previous prime is 21000020000111. The next prime is 21000020000129. The reversal of 21000020000112 is 21100002000012.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 21000020000094 and 21000020000103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21000020000111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22513339 + ... + 23427557.

It is an arithmetic number, because the mean of its divisors is an integer number (492407577090).

Almost surely, 221000020000112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21000020000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29544454625400).

21000020000112 is an abundant number, since it is smaller than the sum of its proper divisors (38088889250688).

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

21000020000112 is a wasteful number, since it uses less digits than its factorization.

21000020000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915095 (or 915086 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 21000020000112 its reverse (21100002000012), we get a palindrome (42100022000124).

The spelling of 21000020000112 in words is "twenty-one trillion, twenty million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 269 538 593 807 1076 1186 1614 1779 2152 2372 2421 3228 3558 4304 4744 4842 5337 6456 7116 9488 9684 10674 12912 14232 19368 21348 28464 38736 42696 85392 159517 319034 478551 638068 914219 957102 1276136 1435653 1828438 1914204 2552272 2742657 2871306 3656876 3828408 5485314 5742612 7313752 7656816 8227971 10970628 11485224 14627504 16455942 21941256 22970448 32911884 43882512 65823768 131647536 245924911 491849822 542131867 737774733 983699644 1084263734 1475549466 1626395601 1967399288 2168527468 2213324199 2951098932 3252791202 3934798576 4337054936 4426648398 4879186803 5902197864 6505582404 8674109872 8853296796 9758373606 11804395728 13011164808 17706593592 19516747212 26022329616 35413187184 39033494424 78066988848 145833472223 291666944446 437500416669 583333888892 875000833338 1166667777784 1312501250007 1750001666676 2333335555568 2625002500014 3500003333352 5250005000028 7000006666704 10500010000056 21000020000112