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11211223020 = 22354710693719
BaseRepresentation
bin10100111000011110…
…11010111111101100
31001221022220010202020
422130033122333230
5140430033114040
65052251230140
7544552552254
oct123417327754
931838803666
1011211223020
114833496878
12220a748350
13109891109a
14784d74964
154593b3cd0
hex29c3dafec

11211223020 has 96 divisors (see below), whose sum is σ = 32097945600. Its totient is φ = 2922526464.

The previous prime is 11211223003. The next prime is 11211223027. The reversal of 11211223020 is 2032211211.

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

It is not an unprimeable number, because it can be changed into a prime (11211223027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3012721 + ... + 3016439.

It is an arithmetic number, because the mean of its divisors is an integer number (334353600).

Almost surely, 211211223020 is an apocalyptic number.

11211223020 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 11211223020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16048972800).

11211223020 is an abundant number, since it is smaller than the sum of its proper divisors (20886722580).

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

11211223020 is a wasteful number, since it uses less digits than its factorization.

11211223020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4847 (or 4845 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 11211223020 its reverse (2032211211), we get a palindrome (13243434231).

The spelling of 11211223020 in words is "eleven billion, two hundred eleven million, two hundred twenty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 940 1069 1410 2138 2820 3207 3719 4276 5345 6414 7438 10690 11157 12828 14876 16035 18595 21380 22314 32070 37190 44628 50243 55785 64140 74380 100486 111570 150729 174793 200972 223140 251215 301458 349586 502430 524379 602916 699172 753645 873965 1004860 1048758 1507290 1747930 2097516 2621895 3014580 3495860 3975611 5243790 7951222 10487580 11926833 15902444 19878055 23853666 39756110 47707332 59634165 79512220 119268330 186853717 238536660 373707434 560561151 747414868 934268585 1121122302 1868537170 2242244604 2802805755 3737074340 5605611510 11211223020