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13222134340000 = 25543371961741
BaseRepresentation
bin1100000001101000010010…
…0111101101100110100000
31201211000122021110012002021
43000122010213231212200
53213112412342340000
644042055322231224
72533160546342035
oct300320447554640
951730567405067
1013222134340000
114238526153173
121596656055514
1374bac39045a1
14339d51a5738c
1517de10e2411a
hexc06849ed9a0

13222134340000 has 120 divisors (see below), whose sum is σ = 32624973969588. Its totient is φ = 5273157120000.

The previous prime is 13222134339977. The next prime is 13222134340061. The reversal of 13222134340000 is 4343122231.

It can be written as a sum of positive squares in 10 ways, for example, as 1477887587856 + 11744246752144 = 1215684^2 + 3426988^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5759130 + ... + 7720870.

Almost surely, 213222134340000 is an apocalyptic number.

13222134340000 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 13222134340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16312486984794).

13222134340000 is an abundant number, since it is smaller than the sum of its proper divisors (19402839629588).

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

13222134340000 is an equidigital number, since it uses as much as digits as its factorization.

13222134340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1962108 (or 1962085 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 13222134340000 its reverse (4343122231), we get a palindrome (13226477462231).

The spelling of 13222134340000 in words is "thirteen trillion, two hundred twenty-two billion, one hundred thirty-four million, three hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 337 400 500 625 674 800 1000 1250 1348 1685 2000 2500 2696 3370 4000 5000 5392 6740 8425 10000 10784 13480 16850 20000 26960 33700 42125 53920 67400 84250 134800 168500 210625 269600 337000 421250 674000 842500 1348000 1685000 1961741 3370000 3923482 6740000 7846964 9808705 15693928 19617410 31387856 39234820 49043525 62775712 78469640 98087050 156939280 196174100 245217625 313878560 392348200 490435250 661106717 784696400 980870500 1226088125 1322213434 1569392800 1961741000 2452176250 2644426868 3305533585 3923482000 4904352500 5288853736 6611067170 7846964000 9808705000 10577707472 13222134340 16527667925 19617410000 21155414944 26444268680 33055335850 39234820000 52888537360 66110671700 82638339625 105777074720 132221343400 165276679250 264442686800 330553358500 413191698125 528885373600 661106717000 826383396250 1322213434000 1652766792500 2644426868000 3305533585000 6611067170000 13222134340000