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11012310012 = 22311296742937
BaseRepresentation
bin10100100000110001…
…01000001111111100
31001102110121022101210
422100120220033330
5140023122410022
65020424004420
7536616043044
oct122030501774
931373538353
1011012310012
114741186560
122174000710
131066647792
14766796724
15446bc1a0c
hex2906283fc

11012310012 has 96 divisors (see below), whose sum is σ = 29431422720. Its totient is φ = 3173829120.

The previous prime is 11012310011. The next prime is 11012310013. The reversal of 11012310012 is 21001321011.

It is an interprime number because it is at equal distance from previous prime (11012310011) and next prime (11012310013).

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

It is a self number, because there is not a number n which added to its sum of digits gives 11012310012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11012310011) 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, 235008 + ... + 277944.

It is an arithmetic number, because the mean of its divisors is an integer number (306577320).

Almost surely, 211012310012 is an apocalyptic number.

11012310012 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 11012310012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14715711360).

11012310012 is an abundant number, since it is smaller than the sum of its proper divisors (18419112708).

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

11012310012 is a wasteful number, since it uses less digits than its factorization.

11012310012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43051 (or 43049 counting only the distinct ones).

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

Adding to 11012310012 its reverse (21001321011), we get a palindrome (32013631023).

The spelling of 11012310012 in words is "eleven billion, twelve million, three hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 67 87 116 132 134 174 201 268 319 348 402 638 737 804 957 1276 1474 1914 1943 2211 2948 3828 3886 4422 5829 7772 8844 11658 21373 23316 42746 42937 64119 85492 85874 128238 128811 171748 256476 257622 472307 515244 944614 1245173 1416921 1889228 2490346 2833842 2876779 3735519 4980692 5667684 5753558 7471038 8630337 11507116 13696903 14942076 17260674 27393806 31644569 34521348 41090709 54787612 63289138 82181418 83426591 94933707 126578276 164362836 166853182 189867414 250279773 333706364 379734828 500559546 917692501 1001119092 1835385002 2753077503 3670770004 5506155006 11012310012