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11320442300 = 2252374371153
BaseRepresentation
bin10101000101100000…
…00011110110111100
31002012221102001102202
422202300003312330
5141141013123200
65111152211032
7550350112646
oct124260036674
932187361382
1011320442300
11488a104942
12223b239a78
1310b5431c8b
14795685896
15463c8a1d5
hex2a2c03dbc

11320442300 has 72 divisors (see below), whose sum is σ = 25816378896. Its totient is φ = 4303272960.

The previous prime is 11320442297. The next prime is 11320442317. The reversal of 11320442300 is 324402311.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123524 + ... + 194676.

It is an arithmetic number, because the mean of its divisors is an integer number (358560818).

Almost surely, 211320442300 is an apocalyptic number.

11320442300 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 11320442300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12908189448).

11320442300 is an abundant number, since it is smaller than the sum of its proper divisors (14495936596).

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

11320442300 is a wasteful number, since it uses less digits than its factorization.

11320442300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71247 (or 71240 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 11320442300 its reverse (324402311), we get a palindrome (11644844611).

The spelling of 11320442300 in words is "eleven billion, three hundred twenty million, four hundred forty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 37 43 50 74 86 100 148 172 185 215 370 430 740 860 925 1075 1591 1850 2150 3182 3700 4300 6364 7955 15910 31820 39775 71153 79550 142306 159100 284612 355765 711530 1423060 1778825 2632661 3059579 3557650 5265322 6119158 7115300 10530644 12238316 13163305 15297895 26326610 30595790 52653220 61191580 65816525 76489475 113204423 131633050 152978950 226408846 263266100 305957900 452817692 566022115 1132044230 2264088460 2830110575 5660221150 11320442300