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10011100210212 = 22373257379117329
BaseRepresentation
bin1001000110101110010000…
…0100100110010000100100
31022110001101210020100122010
42101223210010212100210
52303010213123211322
633143011433034220
72052164252516223
oct221534404462044
938401353210563
1010011100210212
11320a758097272
121158275255970
13578072a6b24a
1426877b446cba
151256296c920c
hex91ae4126424

10011100210212 has 96 divisors (see below), whose sum is σ = 23834284790400. Its totient is φ = 3269835620352.

The previous prime is 10011100210201. The next prime is 10011100210217. The reversal of 10011100210212 is 21201200111001.

It is a super-3 number, since 3×100111002102123 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10011100210217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85266364 + ... + 85383692.

It is an arithmetic number, because the mean of its divisors is an integer number (248273799900).

Almost surely, 210011100210212 is an apocalyptic number.

10011100210212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10011100210212 is an abundant number, since it is smaller than the sum of its proper divisors (13823184580188).

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

10011100210212 is a wasteful number, since it uses less digits than its factorization.

10011100210212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118045 (or 118043 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10011100210212 its reverse (21201200111001), we get a palindrome (31212300321213).

The spelling of 10011100210212 in words is "ten trillion, eleven billion, one hundred million, two hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 73 146 219 257 292 379 438 514 758 771 876 1028 1137 1516 1542 2274 3084 4548 18761 27667 37522 55334 56283 75044 83001 97403 110668 112566 117329 166002 194806 225132 234658 292209 332004 351987 389612 469316 584418 703974 1168836 1407948 7110419 8565017 14220838 17130034 21331257 25695051 28441676 30153553 34260068 42662514 44467691 51390102 60307106 85325028 88935382 90460659 102780204 120614212 133403073 177870764 180921318 266806146 361842636 533612292 2201209369 3246141443 4402418738 6492282886 6603628107 8804837476 9738424329 11428196587 12984565772 13207256214 19476848658 22856393174 26414512428 34284589761 38953697316 45712786348 68569179522 137138359044 834258350851 1668516701702 2502775052553 3337033403404 5005550105106 10011100210212