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11221000110 = 23251722318757
BaseRepresentation
bin10100111001101001…
…01101111110101110
31001222000021212101200
422130310231332232
5140440034000420
65053240550330
7545031633015
oct123464557656
931860255350
1011221000110
114838a64511
122211a823a6
13109a955348
1478639ba7c
1545a195b90
hex29cd2dfae

11221000110 has 144 divisors (see below), whose sum is σ = 32340892896. Its totient is φ = 2693661696.

The previous prime is 11221000079. The next prime is 11221000139. The reversal of 11221000110 is 1100012211.

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 = 11221000092 and 11221000101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 588852 + ... + 607608.

It is an arithmetic number, because the mean of its divisors is an integer number (224589534).

Almost surely, 211221000110 is an apocalyptic number.

11221000110 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 11221000110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16170446448).

11221000110 is an abundant number, since it is smaller than the sum of its proper divisors (21119892786).

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

11221000110 is a wasteful number, since it uses less digits than its factorization.

11221000110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18827 (or 18807 counting only the distinct ones).

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

Adding to 11221000110 its reverse (1100012211), we get a palindrome (12321012321).

The spelling of 11221000110 in words is "eleven billion, two hundred twenty-one million, one hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 17 18 23 30 34 45 46 51 69 85 90 102 115 138 153 170 207 230 255 289 306 345 391 414 510 578 690 765 782 867 1035 1173 1445 1530 1734 1955 2070 2346 2601 2890 3519 3910 4335 5202 5865 6647 7038 8670 11730 13005 13294 17595 18757 19941 26010 33235 35190 37514 39882 56271 59823 66470 93785 99705 112542 119646 168813 187570 199410 281355 299115 318869 337626 431411 562710 598230 637738 844065 862822 956607 1294233 1594345 1688130 1913214 2157055 2588466 2869821 3188690 3882699 4314110 4783035 5420773 5739642 6471165 7333987 7765398 9566070 10841546 12942330 14349105 14667974 16262319 19413495 22001961 27103865 28698210 32524638 36669935 38826990 44003922 48786957 54207730 66005883 73339870 81311595 97573914 110009805 124677779 132011766 162623190 220019610 243934785 249355558 330029415 374033337 487869570 623388895 660058830 748066674 1122100011 1246777790 1870166685 2244200022 3740333370 5610500055 11221000110