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11211000210 = 234554725303
BaseRepresentation
bin10100111000011101…
…00100100110010010
31001221022110211010000
422130032210212102
5140430004001320
65052242350430
7544550633544
oct123416444622
931838424100
1011211000210
114833354433
12220a65b416
131098863847
14784d17694
1545936cc90
hex29c3a4992

11211000210 has 80 divisors (see below), whose sum is σ = 30201437376. Its totient is φ = 2984016672.

The previous prime is 11211000209. The next prime is 11211000253. The reversal of 11211000210 is 1200011211.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 11211000192 and 11211000201.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 430419 + ... + 455721.

Almost surely, 211211000210 is an apocalyptic number.

11211000210 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 11211000210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15100718688).

11211000210 is an abundant number, since it is smaller than the sum of its proper divisors (18990437166).

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

11211000210 is a wasteful number, since it uses less digits than its factorization.

11211000210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25869 (or 25860 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11211000210 its reverse (1200011211), we get a palindrome (12411011421).

The spelling of 11211000210 in words is "eleven billion, two hundred eleven million, two hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 547 810 1094 1641 2735 3282 4923 5470 8205 9846 14769 16410 24615 25303 29538 44307 49230 50606 73845 75909 88614 126515 147690 151818 221535 227727 253030 379545 443070 455454 683181 759090 1138635 1366362 2049543 2277270 3415905 4099086 6831810 10247715 13840741 20495430 27681482 41522223 69203705 83044446 124566669 138407410 207611115 249133338 373700007 415222230 622833345 747400014 1121100021 1245666690 1868500035 2242200042 3737000070 5605500105 11211000210