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11102312211232 = 251117103151119291
BaseRepresentation
bin1010000110001111010101…
…1000000010001100100000
31110022101000020010112002011
42201203311120002030200
52423400013411224412
635340155401202304
72224054434502414
oct241436530021440
943271006115064
1011102312211232
1135a0511896590
1212b3851a90394
13626c35c92b08
142a54d7722d44
15143be38c87a7
hexa18f5602320

11102312211232 has 192 divisors, whose sum is σ = 25661530073088. Its totient is φ = 4672350720000.

The previous prime is 11102312211227. The next prime is 11102312211247. The reversal of 11102312211232 is 23211221320111.

It is a happy number.

It is a super-2 number, since 2×111023122112322 (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93009507 + ... + 93128797.

It is an arithmetic number, because the mean of its divisors is an integer number (133653802464).

Almost surely, 211102312211232 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 11102312211232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12830765036544).

11102312211232 is an abundant number, since it is smaller than the sum of its proper divisors (14559217861856).

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

11102312211232 is a wasteful number, since it uses less digits than its factorization.

11102312211232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119583 (or 119575 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 11102312211232 its reverse (23211221320111), we get a palindrome (34313533531343).

The spelling of 11102312211232 in words is "eleven trillion, one hundred two billion, three hundred twelve million, two hundred eleven thousand, two hundred thirty-two".