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1102100210112 = 263111109470539
BaseRepresentation
bin10000000010011010010…
…010101010000111000000
310220100201020222111101110
4100002122102222013000
5121024100123210422
62202144200203320
7142424033135046
oct20023222520700
93810636874343
101102100210112
11395441922a30
12159717169540
137cc09c3a955
143b4b03aa396
151da0505a60c
hex1009a4aa1c0

1102100210112 has 112 divisors (see below), whose sum is σ = 3183937142400. Its totient is φ = 333667906560.

The previous prime is 1102100210021. The next prime is 1102100210131. The reversal of 1102100210112 is 2110120012011.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2106939 + ... + 2577477.

It is an arithmetic number, because the mean of its divisors is an integer number (28428010200).

Almost surely, 21102100210112 is an apocalyptic number.

1102100210112 is a gapful number since it is divisible by the number (12) 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 1102100210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1591968571200).

1102100210112 is an abundant number, since it is smaller than the sum of its proper divisors (2081836932288).

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

1102100210112 is a wasteful number, since it uses less digits than its factorization.

1102100210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471674 (or 471664 counting only the distinct ones).

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

Adding to 1102100210112 its reverse (2110120012011), we get a palindrome (3212220222123).

The spelling of 1102100210112 in words is "one trillion, one hundred two billion, one hundred million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 1109 2112 2218 3327 4436 6654 8872 12199 13308 17744 24398 26616 35488 36597 48796 53232 70976 73194 97592 106464 146388 195184 212928 292776 390368 470539 585552 780736 941078 1171104 1411617 1882156 2342208 2823234 3764312 5175929 5646468 7528624 10351858 11292936 15057248 15527787 20703716 22585872 30114496 31055574 41407432 45171744 62111148 82814864 90343488 124222296 165629728 248444592 331259456 496889184 521827751 993778368 1043655502 1565483253 2087311004 3130966506 4174622008 5740105261 6261933012 8349244016 11480210522 12523866024 16698488032 17220315783 22960421044 25047732048 33396976064 34440631566 45920842088 50095464096 68881263132 91841684176 100190928192 137762526264 183683368352 275525052528 367366736704 551050105056 1102100210112