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1111311012 = 223717799851
BaseRepresentation
bin100001000111101…
…0100001010100100
32212110010110010010
41002033110022210
54233443423022
6302135130220
736352662540
oct10217241244
92773113103
101111311012
11520340459
12270213970
131493111a6
14a7844a20
156786c50c
hex423d42a4

1111311012 has 96 divisors (see below), whose sum is σ = 3177861120. Its totient is φ = 295027200.

The previous prime is 1111311011. The next prime is 1111311031. The reversal of 1111311012 is 2101131111.

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

It is not an unprimeable number, because it can be changed into a prime (1111311011) 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, 107887 + ... + 117737.

It is an arithmetic number, because the mean of its divisors is an integer number (33102720).

Almost surely, 21111311012 is an apocalyptic number.

1111311012 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 1111311012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1588930560).

1111311012 is an abundant number, since it is smaller than the sum of its proper divisors (2066550108).

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

1111311012 is a wasteful number, since it uses less digits than its factorization.

1111311012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9961 (or 9959 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

The square root of 1111311012 is about 33336.3317118126. The cubic root of 1111311012 is about 1035.8062787807.

Adding to 1111311012 its reverse (2101131111), we get a palindrome (3212442123).

The spelling of 1111311012 in words is "one billion, one hundred eleven million, three hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 79 84 102 119 158 204 237 238 316 357 474 476 553 714 948 1106 1343 1428 1659 2212 2686 3318 4029 5372 6636 8058 9401 9851 16116 18802 19702 28203 29553 37604 39404 56406 59106 68957 112812 118212 137914 167467 206871 275828 334934 413742 502401 669868 778229 827484 1004802 1172269 1556458 2009604 2334687 2344538 3112916 3516807 4669374 4689076 5447603 7033614 9338748 10895206 13229893 14067228 16342809 21790412 26459786 32685618 39689679 52919572 65371236 79379358 92609251 158758716 185218502 277827753 370437004 555655506 1111311012