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11341201300 = 22521113261007
BaseRepresentation
bin10101000111111110…
…01111111110010100
31002021101110201102121
422203333033332110
5141211321420200
65113213145324
7551021422552
oct124377177624
932241421377
1011341201300
11489a8a3440
12224618b244
1310b981ca00
1479832abd2
154659dae1a
hex2a3fcff94

11341201300 has 108 divisors (see below), whose sum is σ = 29072264256. Its totient is φ = 3806774400.

The previous prime is 11341201283. The next prime is 11341201301. The reversal of 11341201300 is 310214311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11341201301) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 155397 + ... + 216403.

It is an arithmetic number, because the mean of its divisors is an integer number (269187632).

Almost surely, 211341201300 is an apocalyptic number.

11341201300 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 11341201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14536132128).

11341201300 is an abundant number, since it is smaller than the sum of its proper divisors (17731062956).

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

11341201300 is a wasteful number, since it uses less digits than its factorization.

11341201300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61058 (or 61038 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 11341201300 its reverse (310214311), we get a palindrome (11651415611).

The spelling of 11341201300 in words is "eleven billion, three hundred forty-one million, two hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 100 110 130 143 169 220 260 275 286 325 338 550 572 650 676 715 845 1100 1300 1430 1690 1859 2860 3380 3575 3718 4225 7150 7436 8450 9295 14300 16900 18590 37180 46475 61007 92950 122014 185900 244028 305035 610070 671077 793091 1220140 1342154 1525175 1586182 2684308 3050350 3172364 3355385 3965455 6100700 6710770 7930910 8724001 10310183 13421540 15861820 16776925 17448002 19827275 20620366 33553850 34896004 39654550 41240732 43620005 51550915 67107700 79309100 87240010 103101830 113412013 174480020 206203660 218100025 226824026 257754575 436200050 453648052 515509150 567060065 872400100 1031018300 1134120130 2268240260 2835300325 5670600650 11341201300