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11004341300 = 2252674673517
BaseRepresentation
bin10100011111110100…
…01110110000110100
31001101220121110101022
422033322032300310
5140014102410200
65015541120312
7536461233461
oct121772166064
931356543338
1011004341300
114737733547
1221713b9098
131064ab7674
147656c0668
1544614a885
hex28fe8ec34

11004341300 has 72 divisors (see below), whose sum is σ = 24294632544. Its totient is φ = 4325523840.

The previous prime is 11004341269. The next prime is 11004341303. The reversal of 11004341300 is 314340011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11004341303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3127142 + ... + 3130658.

It is an arithmetic number, because the mean of its divisors is an integer number (337425452).

Almost surely, 211004341300 is an apocalyptic number.

11004341300 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 11004341300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12147316272).

11004341300 is an abundant number, since it is smaller than the sum of its proper divisors (13290291244).

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

11004341300 is a wasteful number, since it uses less digits than its factorization.

11004341300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4065 (or 4058 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 11004341300 its reverse (314340011), we get a palindrome (11318681311).

The spelling of 11004341300 in words is "eleven billion, four million, three hundred forty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 67 100 134 268 335 467 670 934 1340 1675 1868 2335 3350 3517 4670 6700 7034 9340 11675 14068 17585 23350 31289 35170 46700 62578 70340 87925 125156 156445 175850 235639 312890 351700 471278 625780 782225 942556 1178195 1564450 1642439 2356390 3128900 3284878 4712780 5890975 6569756 8212195 11781950 16424390 23563900 32848780 41060975 82121950 110043413 164243900 220086826 440173652 550217065 1100434130 2200868260 2751085325 5502170650 11004341300