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11232213210 = 2325378340639
BaseRepresentation
bin10100111010111110…
…11111100011011010
31001222210101112212200
422131133133203122
5141000421310320
65054321151030
7545226144201
oct123537374332
931883345780
1011232213210
114844323039
12221578b476
1310a008010a
14787a7a238
1545b15d290
hex29d7df8da

11232213210 has 96 divisors (see below), whose sum is σ = 30355153920. Its totient is φ = 2879121024.

The previous prime is 11232213199. The next prime is 11232213211. The reversal of 11232213210 is 1231223211.

11232213210 is a `hidden beast` number, since 1 + 123 + 221 + 321 + 0 = 666.

It is a super-2 number, since 2×112322132102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11232213211) 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, 256071 + ... + 296709.

It is an arithmetic number, because the mean of its divisors is an integer number (316199520).

Almost surely, 211232213210 is an apocalyptic number.

11232213210 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 11232213210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15177576960).

11232213210 is an abundant number, since it is smaller than the sum of its proper divisors (19122940710).

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

11232213210 is a wasteful number, since it uses less digits than its factorization.

11232213210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40772 (or 40769 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11232213210 its reverse (1231223211), we get a palindrome (12463436421).

The spelling of 11232213210 in words is "eleven billion, two hundred thirty-two million, two hundred thirteen thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 83 90 111 166 185 222 249 333 370 415 498 555 666 747 830 1110 1245 1494 1665 2490 3071 3330 3735 6142 7470 9213 15355 18426 27639 30710 40639 46065 55278 81278 92130 121917 138195 203195 243834 276390 365751 406390 609585 731502 1219170 1503643 1828755 3007286 3373037 3657510 4510929 6746074 7518215 9021858 10119111 13532787 15036430 16865185 20238222 22554645 27065574 30357333 33730370 45109290 50595555 60714666 67663935 101191110 124802369 135327870 151786665 249604738 303573330 374407107 624011845 748814214 1123221321 1248023690 1872035535 2246442642 3744071070 5616106605 11232213210