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13100220 = 22325737281
BaseRepresentation
bin110001111110…
…010010111100
3220122120010100
4301332102330
511323201340
61144441100
7216231030
oct61762274
926576110
1013100220
117438431
124479190
132938a13
141a501c0
15123b830
hexc7e4bc

13100220 has 144 divisors (see below), whose sum is σ = 46807488. Its totient is φ = 2903040.

The previous prime is 13100209. The next prime is 13100221. The reversal of 13100220 is 2200131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13100221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46480 + ... + 46760.

It is an arithmetic number, because the mean of its divisors is an integer number (325052).

Almost surely, 213100220 is an apocalyptic number.

13100220 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 13100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23403744).

13100220 is an abundant number, since it is smaller than the sum of its proper divisors (33707268).

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

13100220 is a wasteful number, since it uses less digits than its factorization.

13100220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 13100220 is about 3619.4226058862. The cubic root of 13100220 is about 235.7361553892.

Adding to 13100220 its reverse (2200131), we get a palindrome (15300351).

The spelling of 13100220 in words is "thirteen million, one hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 37 42 45 60 63 70 74 84 90 105 111 126 140 148 180 185 210 222 252 259 281 315 333 370 420 444 518 555 562 630 666 740 777 843 1036 1110 1124 1260 1295 1332 1405 1554 1665 1686 1967 2220 2331 2529 2590 2810 3108 3330 3372 3885 3934 4215 4662 5058 5180 5620 5901 6660 7770 7868 8430 9324 9835 10116 10397 11655 11802 12645 15540 16860 17703 19670 20794 23310 23604 25290 29505 31191 35406 39340 41588 46620 50580 51985 59010 62382 70812 72779 88515 93573 103970 118020 124764 145558 155955 177030 187146 207940 218337 291116 311910 354060 363895 374292 436674 467865 623820 655011 727790 873348 935730 1091685 1310022 1455580 1871460 2183370 2620044 3275055 4366740 6550110 13100220