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1111101012 = 2232729152039
BaseRepresentation
bin100001000111010…
…0000111001010100
32212102201210001100
41002032200321110
54233420213022
6302130430100
736351126360
oct10216407124
92772653040
101111101012
115202076aa
12270132330
13149269728
14a77cc2a0
156782a1ac
hex423a0e54

1111101012 has 72 divisors (see below), whose sum is σ = 3320553600. Its totient is φ = 306508608.

The previous prime is 1111101007. The next prime is 1111101071. The reversal of 1111101012 is 2101011111.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1111100985 and 1111101003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68712 + ... + 83327.

It is an arithmetic number, because the mean of its divisors is an integer number (46118800).

Almost surely, 21111101012 is an apocalyptic number.

1111101012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1111101012 is an abundant number, since it is smaller than the sum of its proper divisors (2209452588).

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

1111101012 is a wasteful number, since it uses less digits than its factorization.

1111101012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152085 (or 152080 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

The square root of 1111101012 is about 33333.1818463224. The cubic root of 1111101012 is about 1035.7410306131.

Adding to 1111101012 its reverse (2101011111), we get a palindrome (3212112123).

The spelling of 1111101012 in words is "one billion, one hundred eleven million, one hundred one thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 116 126 174 203 252 261 348 406 522 609 812 1044 1218 1827 2436 3654 7308 152039 304078 456117 608156 912234 1064273 1368351 1824468 2128546 2736702 3192819 4257092 4409131 5473404 6385638 8818262 9578457 12771276 13227393 17636524 19156914 26454786 30863917 38313828 39682179 52909572 61727834 79364358 92591751 123455668 158728716 185183502 277775253 370367004 555550506 1111101012