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1011120211068 = 22311241121326203
BaseRepresentation
bin11101011011010110111…
…01100000010001111100
310120122212201001200022020
432231223131200101330
5113031233233223233
62052300251120140
7133023333662322
oct16555335402174
93518781050266
101011120211068
1135a8a4aaa080
12143b66143050
137446b0921a6
1436d1d289d12
151b47cb4d9b3
hexeb6b76047c

1011120211068 has 96 divisors (see below), whose sum is σ = 2586669372672. Its totient is φ = 304865510400.

The previous prime is 1011120211067. The next prime is 1011120211069. The reversal of 1011120211068 is 8601120211101.

It is an interprime number because it is at equal distance from previous prime (1011120211067) and next prime (1011120211069).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011120211063) 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, 38574855 + ... + 38601057.

It is an arithmetic number, because the mean of its divisors is an integer number (26944472632).

Almost surely, 21011120211068 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011120211068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293334686336).

1011120211068 is an abundant number, since it is smaller than the sum of its proper divisors (1575549161604).

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

1011120211068 is a wasteful number, since it uses less digits than its factorization.

1011120211068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27675 (or 27673 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 24.

Adding to 1011120211068 its reverse (8601120211101), we get a palindrome (9612240422169).

The spelling of 1011120211068 in words is "one trillion, eleven billion, one hundred twenty million, two hundred eleven thousand, sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 241 482 723 964 1213 1446 2426 2651 2892 3639 4852 5302 7278 7953 10604 13343 14556 15906 26203 26686 31812 40029 52406 53372 78609 80058 104812 157218 160116 288233 292333 314436 576466 584666 864699 876999 1152932 1169332 1729398 1753998 3215663 3458796 3507996 6314923 6431326 9646989 12629846 12862652 18944769 19293978 25259692 31784239 37889538 38587956 63568478 69464153 75779076 95352717 127136956 138928306 190705434 208392459 277856612 349626629 381410868 416784918 699253258 833569836 1048879887 1398506516 2097759774 4195519548 7660001599 15320003198 22980004797 30640006396 45960009594 84260017589 91920019188 168520035178 252780052767 337040070356 505560105534 1011120211068