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23331012321100 = 225211191116316379
BaseRepresentation
bin1010100111000001011001…
…01100111001111101001100
310001121102102100210221201011
411103200230230321331030
511024223403123233400
6121342041420255004
74625416143415561
oct523405454717514
9101542370727634
1023331012321100
117485699242950
1227498589a1464
1310031499699a3
145a9326d38868
152a6d5e6c98ba
hex15382cb39f4c

23331012321100 has 72 divisors (see below), whose sum is σ = 58137757070400. Its totient is φ = 8037477921600.

The previous prime is 23331012321083. The next prime is 23331012321107. The reversal of 23331012321100 is 112321013332.

It is a super-2 number, since 2×233310123211002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (23331012321107) 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 23 ways as a sum of consecutive naturals, for example, 558137290 + ... + 558179089.

It is an arithmetic number, because the mean of its divisors is an integer number (807468848200).

Almost surely, 223331012321100 is an apocalyptic number.

23331012321100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23331012321100 is an abundant number, since it is smaller than the sum of its proper divisors (34806744749300).

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

23331012321100 is a wasteful number, since it uses less digits than its factorization.

23331012321100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116316423 (or 1116316416 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 23331012321100 its reverse (112321013332), we get a palindrome (23443333334432).

The spelling of 23331012321100 in words is "twenty-three trillion, three hundred thirty-one billion, twelve million, three hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 76 95 100 110 190 209 220 275 380 418 475 550 836 950 1045 1100 1900 2090 4180 5225 10450 20900 1116316379 2232632758 4465265516 5581581895 11163163790 12279480169 21210011201 22326327580 24558960338 27907909475 42420022402 49117920676 55815818950 61397400845 84840044804 106050056005 111631637900 122794801690 212100112010 233310123211 245589603380 306987004225 424200224020 466620246422 530250280025 613974008450 933240492844 1060500560050 1166550616055 1227948016900 2121001120100 2333101232110 4666202464220 5832753080275 11665506160550 23331012321100