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11023002012 = 22311439720021
BaseRepresentation
bin10100100010000010…
…11010100110011100
31001110012201112001210
422101001122212130
5140033342031022
65021445104420
7540105654051
oct122101324634
931405645053
1011023002012
114747219620
1221776b8110
13106891c2c9
14767d7b028
15447ad4a0c
hex29105a99c

11023002012 has 96 divisors (see below), whose sum is σ = 29008514304. Its totient is φ = 3228825600.

The previous prime is 11023002007. The next prime is 11023002013. The reversal of 11023002012 is 21020032011.

It is a super-4 number, since 4×110230020124 (a number of 41 digits) contains 4444 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11023002013) 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, 540562 + ... + 560582.

It is an arithmetic number, because the mean of its divisors is an integer number (302172024).

Almost surely, 211023002012 is an apocalyptic number.

11023002012 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 11023002012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14504257152).

11023002012 is an abundant number, since it is smaller than the sum of its proper divisors (17985512292).

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

11023002012 is a wasteful number, since it uses less digits than its factorization.

11023002012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20179 (or 20177 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 11023002012 its reverse (21020032011), we get a palindrome (32043034023).

The spelling of 11023002012 in words is "eleven billion, twenty-three million, two thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 43 44 66 86 97 129 132 172 194 258 291 388 473 516 582 946 1067 1164 1419 1892 2134 2838 3201 4171 4268 5676 6402 8342 12513 12804 16684 20021 25026 40042 45881 50052 60063 80084 91762 120126 137643 183524 220231 240252 275286 440462 550572 660693 860903 880924 1321386 1721806 1942037 2582709 2642772 3443612 3884074 5165418 5826111 7768148 9469933 10330836 11652222 18939866 21362407 23304444 28409799 37879732 42724814 56819598 64087221 83507591 85449628 113639196 128174442 167015182 250522773 256348884 334030364 501045546 918583501 1002091092 1837167002 2755750503 3674334004 5511501006 11023002012