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11342356500 = 2235371106501
BaseRepresentation
bin10101001000000111…
…01010000000010100
31002021110122102001210
422210003222000110
5141212120402000
65113254021420
7551034303516
oct124403520024
932243572053
1011342356500
1148a0512352
122246647870
1310b9b35767
1479854bbb6
15465b68350
hex2a40ea014

11342356500 has 96 divisors (see below), whose sum is σ = 33494452992. Its totient is φ = 2982000000.

The previous prime is 11342356499. The next prime is 11342356511. The reversal of 11342356500 is 565324311.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53250 + ... + 159750.

It is an arithmetic number, because the mean of its divisors is an integer number (348900552).

Almost surely, 211342356500 is an apocalyptic number.

11342356500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 106500×106501.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11342356500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16747226496).

11342356500 is an abundant number, since it is smaller than the sum of its proper divisors (22152096492).

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

11342356500 is a wasteful number, since it uses less digits than its factorization.

11342356500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106594 (or 106582 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 11342356500 in words is "eleven billion, three hundred forty-two million, three hundred fifty-six thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 71 75 100 125 142 150 213 250 284 300 355 375 426 500 710 750 852 1065 1420 1500 1775 2130 3550 4260 5325 7100 8875 10650 17750 21300 26625 35500 53250 106500 106501 213002 319503 426004 532505 639006 1065010 1278012 1597515 2130020 2662525 3195030 5325050 6390060 7561571 7987575 10650100 13312625 15123142 15975150 22684713 26625250 30246284 31950300 37807855 39937875 45369426 53250500 75615710 79875750 90738852 113423565 151231420 159751500 189039275 226847130 378078550 453694260 567117825 756157100 945196375 1134235650 1890392750 2268471300 2835589125 3780785500 5671178250 11342356500