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11311033032 = 23321319636023
BaseRepresentation
bin10101000100011000…
…01010101011001000
31002012021201000100100
422202030022223020
5141131111024112
65110214405400
7550204123455
oct124214125310
932167630310
1011311033032
114884868592
122238060860
1310b34b9270
1479431682c
1546302c2dc
hex2a230aac8

11311033032 has 96 divisors (see below), whose sum is σ = 34726910400. Its totient is φ = 3297138048.

The previous prime is 11311032949. The next prime is 11311033033. The reversal of 11311033032 is 23033011311.

It is a happy number.

It is a super-2 number, since 2×113110330322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11311032996 and 11311033014.

It is not an unprimeable number, because it can be changed into a prime (11311033033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 300228 + ... + 335795.

It is an arithmetic number, because the mean of its divisors is an integer number (361738650).

Almost surely, 211311033032 is an apocalyptic number.

11311033032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11311033032 is an abundant number, since it is smaller than the sum of its proper divisors (23415877368).

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

11311033032 is a wasteful number, since it uses less digits than its factorization.

11311033032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636067 (or 636060 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 11311033032 its reverse (23033011311), we get a palindrome (34344044343).

The spelling of 11311033032 in words is "eleven billion, three hundred eleven million, thirty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 19 24 26 36 38 39 52 57 72 76 78 104 114 117 152 156 171 228 234 247 312 342 456 468 494 684 741 936 988 1368 1482 1976 2223 2964 4446 5928 8892 17784 636023 1272046 1908069 2544092 3816138 5088184 5724207 7632276 8268299 11448414 12084437 15264552 16536598 22896828 24168874 24804897 33073196 36253311 45793656 48337748 49609794 66146392 72506622 74414691 96675496 99219588 108759933 145013244 148829382 157097681 198439176 217519866 290026488 297658764 314195362 435039732 471293043 595317528 628390724 870079464 942586086 1256781448 1413879129 1885172172 2827758258 3770344344 5655516516 11311033032