Search a number
-
+
11201023020 = 22351146736341
BaseRepresentation
bin10100110111010001…
…00000110000101100
31001220121200220222110
422123220200300230
5140414430214040
65051244444020
7544400060535
oct123350406054
931817626873
1011201023020
11482875a420
122207249610
13109677c495
1478387b68c
1545854b980
hex29ba20c2c

11201023020 has 96 divisors (see below), whose sum is σ = 34288240896. Its totient is φ = 2709510400.

The previous prime is 11201023007. The next prime is 11201023037. The reversal of 11201023020 is 2032010211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11201022987 and 11201023005.

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, 290050 + ... + 326390.

It is an arithmetic number, because the mean of its divisors is an integer number (357169176).

Almost surely, 211201023020 is an apocalyptic number.

11201023020 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 11201023020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17144120448).

11201023020 is an abundant number, since it is smaller than the sum of its proper divisors (23087217876).

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

11201023020 is a wasteful number, since it uses less digits than its factorization.

11201023020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36831 (or 36829 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 11201023020 its reverse (2032010211), we get a palindrome (13233033231).

The spelling of 11201023020 in words is "eleven billion, two hundred one million, twenty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 467 660 934 1401 1868 2335 2802 4670 5137 5604 7005 9340 10274 14010 15411 20548 25685 28020 30822 36341 51370 61644 72682 77055 102740 109023 145364 154110 181705 218046 308220 363410 399751 436092 545115 726820 799502 1090230 1199253 1599004 1998755 2180460 2398506 3997510 4797012 5996265 7995020 11992530 16971247 23985060 33942494 50913741 67884988 84856235 101827482 169712470 186683717 203654964 254568705 339424940 373367434 509137410 560051151 746734868 933418585 1018274820 1120102302 1866837170 2240204604 2800255755 3733674340 5600511510 11201023020