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11132112210 = 23517191114281
BaseRepresentation
bin10100101111000011…
…01000110101010010
31001201211000220010020
422113201220311102
5140244310042320
65040343444310
7542602251432
oct122741506522
931654026106
1011132112210
1147a287273a
1221a8156696
13108540265b
147786602c2
15452488940
hex297868d52

11132112210 has 64 divisors (see below), whose sum is σ = 28437018624. Its totient is φ = 2779289600.

The previous prime is 11132112191. The next prime is 11132112241. The reversal of 11132112210 is 1221123111.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11132112210.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40270 + ... + 154550.

It is an arithmetic number, because the mean of its divisors is an integer number (444328416).

Almost surely, 211132112210 is an apocalyptic number.

11132112210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11132112210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14218509312).

11132112210 is an abundant number, since it is smaller than the sum of its proper divisors (17304906414).

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

11132112210 is a wasteful number, since it uses less digits than its factorization.

11132112210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114499.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 11132112210 its reverse (1221123111), we get a palindrome (12353235321).

The spelling of 11132112210 in words is "eleven billion, one hundred thirty-two million, one hundred twelve thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 191 255 382 510 573 955 1146 1910 2865 3247 5730 6494 9741 16235 19482 32470 48705 97410 114281 228562 342843 571405 685686 1142810 1714215 1942777 3428430 3885554 5828331 9713885 11656662 19427770 21827671 29141655 43655342 58283310 65483013 109138355 130966026 218276710 327415065 371070407 654830130 742140814 1113211221 1855352035 2226422442 3710704070 5566056105 11132112210