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11111153412 = 22319534012293
BaseRepresentation
bin10100101100100011…
…01011111100000100
31001200100121002001110
422112101223330010
5140223423402122
65034314325020
7542226150162
oct122621537404
931610532043
1011111153412
114791a58017
1221a1129770
131080c749b8
14775966232
154506e890c
hex29646bf04

11111153412 has 96 divisors (see below), whose sum is σ = 27886965120. Its totient is φ = 3432499200.

The previous prime is 11111153401. The next prime is 11111153441. The reversal of 11111153412 is 21435111111.

It is a super-3 number, since 3×111111534123 (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4844538 + ... + 4846830.

It is an arithmetic number, because the mean of its divisors is an integer number (290489220).

Almost surely, 211111153412 is an apocalyptic number.

11111153412 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 11111153412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13943482560).

11111153412 is an abundant number, since it is smaller than the sum of its proper divisors (16775811708).

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

11111153412 is a wasteful number, since it uses less digits than its factorization.

11111153412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2773 (or 2771 counting only the distinct ones).

The product of its digits is 120, while the sum is 21.

Adding to 11111153412 its reverse (21435111111), we get a palindrome (32546264523).

The spelling of 11111153412 in words is "eleven billion, one hundred eleven million, one hundred fifty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 19 38 53 57 76 106 114 159 212 228 318 401 636 802 1007 1203 1604 2014 2293 2406 3021 4028 4586 4812 6042 6879 7619 9172 12084 13758 15238 21253 22857 27516 30476 42506 43567 45714 63759 85012 87134 91428 121529 127518 130701 174268 243058 255036 261402 364587 403807 486116 522804 729174 807614 919493 1211421 1458348 1615228 1838986 2309051 2422842 2758479 3677972 4618102 4845684 5516958 6927153 9236204 11033916 13854306 17470367 27708612 34940734 48733129 52411101 69881468 97466258 104822202 146199387 194932516 209644404 292398774 584797548 925929451 1851858902 2777788353 3703717804 5555576706 11111153412