Search a number
-
+
11525112220040 = 235299935441569
BaseRepresentation
bin1010011110110110011000…
…1110000100100110001000
31111210210022212221100022122
42213231212032010212020
53002311412212020130
640302321412510412
72266443011333336
oct247554616044610
944723285840278
1011525112220040
113743855430a71
12136178891b408
13657a7610a013
142bbb659d4b56
1514ebdbc7a2e5
hexa7b66384988

11525112220040 has 32 divisors (see below), whose sum is σ = 26825692239000. Its totient is φ = 4451077822464.

The previous prime is 11525112219989. The next prime is 11525112220043. The reversal of 11525112220040 is 4002221152511.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7255491734404 + 4269620485636 = 2693602^2 + 2066306^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11525112219991 and 11525112220009.

It is not an unprimeable number, because it can be changed into a prime (11525112220043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4967719625 + ... + 4967721944.

Almost surely, 211525112220040 is an apocalyptic number.

11525112220040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11525112220040 is an abundant number, since it is smaller than the sum of its proper divisors (15300580018960).

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

11525112220040 is a wasteful number, since it uses less digits than its factorization.

11525112220040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9935441609 (or 9935441605 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 26.

Adding to 11525112220040 its reverse (4002221152511), we get a palindrome (15527333372551).

The spelling of 11525112220040 in words is "eleven trillion, five hundred twenty-five billion, one hundred twelve million, two hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 9935441569 19870883138 39741766276 49677207845 79483532552 99354415690 198708831380 288127805501 397417662760 576255611002 1152511222004 1440639027505 2305022444008 2881278055010 5762556110020 11525112220040