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11331272500 = 225441227487
BaseRepresentation
bin10101000110110010…
…10111111100110100
31002020200210021200021
422203121113330310
5141201301210000
65112220254524
7550541140612
oct124331277464
932220707607
1011331272500
114895231819
1222429a1444
1310b7754692
14796ca46b2
15464bc911a
hex2a3657f34

11331272500 has 120 divisors (see below), whose sum is σ = 25547772096. Its totient is φ = 4393440000.

The previous prime is 11331272471. The next prime is 11331272507. The reversal of 11331272500 is 527213311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11331272507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23267257 + ... + 23267743.

Almost surely, 211331272500 is an apocalyptic number.

11331272500 is a gapful number since it is divisible by the number (10) 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 11331272500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12773886048).

11331272500 is an abundant number, since it is smaller than the sum of its proper divisors (14216499596).

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

11331272500 is a wasteful number, since it uses less digits than its factorization.

11331272500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

Adding to 11331272500 its reverse (527213311), we get a palindrome (11858485811).

The spelling of 11331272500 in words is "eleven billion, three hundred thirty-one million, two hundred seventy-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 125 164 205 227 250 410 454 487 500 625 820 908 974 1025 1135 1250 1948 2050 2270 2435 2500 4100 4540 4870 5125 5675 9307 9740 10250 11350 12175 18614 19967 20500 22700 24350 25625 28375 37228 39934 46535 48700 51250 56750 60875 79868 93070 99835 102500 110549 113500 121750 141875 186140 199670 221098 232675 243500 283750 304375 399340 442196 465350 499175 552745 567500 608750 930700 998350 1105490 1163375 1217500 1996700 2210980 2326750 2495875 2763725 4532509 4653500 4991750 5527450 5816875 9065018 9983500 11054900 11633750 12479375 13818625 18130036 22662545 23267500 24958750 27637250 45325090 49917500 55274500 69093125 90650180 113312725 138186250 226625450 276372500 453250900 566563625 1133127250 2266254500 2832818125 5665636250 11331272500