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11011102032 = 243725979349
BaseRepresentation
bin10100100000101000…
…00001010101010000
31001102101022221100210
422100110001111100
5140022320231112
65020342044120
7536602552200
oct122024012520
931371287323
1011011102032
114740530a27
122173719640
1310663139b8
14766560400
15446a33b3c
hex290501550

11011102032 has 120 divisors (see below), whose sum is σ = 33650748000. Its totient is φ = 3092667648.

The previous prime is 11011102031. The next prime is 11011102033. The reversal of 11011102032 is 23020111011.

It is an interprime number because it is at equal distance from previous prime (11011102031) and next prime (11011102033).

It is a super-2 number, since 2×110111020322 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 11011101999 and 11011102017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011102031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99094 + ... + 178442.

It is an arithmetic number, because the mean of its divisors is an integer number (280422900).

Almost surely, 211011102032 is an apocalyptic number.

11011102032 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 11011102032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16825374000).

11011102032 is an abundant number, since it is smaller than the sum of its proper divisors (22639645968).

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

11011102032 is a wasteful number, since it uses less digits than its factorization.

11011102032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79433 (or 79420 counting only the distinct ones).

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

Adding to 11011102032 its reverse (23020111011), we get a palindrome (34031213043).

The spelling of 11011102032 in words is "eleven billion, eleven million, one hundred two thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 59 84 98 112 118 147 168 177 196 236 294 336 354 392 413 472 588 708 784 826 944 1176 1239 1416 1652 2352 2478 2832 2891 3304 4956 5782 6608 8673 9912 11564 17346 19824 23128 34692 46256 69384 79349 138768 158698 238047 317396 476094 555443 634792 952188 1110886 1269584 1666329 1904376 2221772 3332658 3808752 3888101 4443544 4681591 6665316 7776202 8887088 9363182 11664303 13330632 14044773 15552404 18726364 23328606 26661264 28089546 31104808 32771137 37452728 46657212 56179092 62209616 65542274 74905456 93314424 98313411 112358184 131084548 186628848 196626822 224716368 229397959 262169096 393253644 458795918 524338192 688193877 786507288 917591836 1376387754 1573014576 1835183672 2752775508 3670367344 5505551016 11011102032