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11210012100084 = 2237835213086107
BaseRepresentation
bin1010001100100000100011…
…0010100000010111110100
31110200200000000110202010110
42203020020302200113310
52432131101044200314
635501450343423020
72234616356446440
oct243101062402764
943620000422113
1011210012100084
11363215964a096
1213106aa454a70
1363413aaa90b5
142aa7d3249820
151468e8acba59
hexa3208ca05f4

11210012100084 has 96 divisors (see below), whose sum is σ = 30311604642816. Its totient is φ = 3158197436160.

The previous prime is 11210012100083. The next prime is 11210012100179. The reversal of 11210012100084 is 48000121001211.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 11210012100084.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11210012100083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2089359 + ... + 5175465.

It is an arithmetic number, because the mean of its divisors is an integer number (315745881696).

Almost surely, 211210012100084 is an apocalyptic number.

11210012100084 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11210012100084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15155802321408).

11210012100084 is an abundant number, since it is smaller than the sum of its proper divisors (19101592542732).

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

11210012100084 is a wasteful number, since it uses less digits than its factorization.

11210012100084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3086725 (or 3086723 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 11210012100084 its reverse (48000121001211), we get a palindrome (59210133101295).

The spelling of 11210012100084 in words is "eleven trillion, two hundred ten billion, twelve million, one hundred thousand, eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 83 84 166 249 332 498 521 581 996 1042 1162 1563 1743 2084 2324 3126 3486 3647 6252 6972 7294 10941 14588 21882 43243 43764 86486 129729 172972 259458 302701 518916 605402 908103 1210804 1816206 3086107 3632412 6172214 9258321 12344428 18516642 21602749 37033284 43205498 64808247 86410996 129616494 256146881 259232988 512293762 768440643 1024587524 1536881286 1607861747 1793028167 3073762572 3215723494 3586056334 4823585241 5379084501 6431446988 7172112668 9647170482 10758169002 11255032229 19294340964 21516338004 22510064458 33765096687 45020128916 67530193374 133452525001 135060386748 266905050002 400357575003 533810100004 800715150006 934167675007 1601430300012 1868335350014 2802503025021 3736670700028 5605006050042 11210012100084