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20011201100 = 22521159503613
BaseRepresentation
bin10010101000110000…
…101011001001001100
31220122121121100021022
4102220300223021030
5311440331413400
613105405253312
71305616255112
oct225060531114
956577540238
1020011201100
11853988a630
123a65864238
131b6baca0c7
14d7b99dab2
157c1c2eb85
hex4a8c2b24c

20011201100 has 144 divisors (see below), whose sum is σ = 48349405440. Its totient is φ = 7127596800.

The previous prime is 20011201099. The next prime is 20011201163. The reversal of 20011201100 is 110211002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32644394 + ... + 32645006.

It is an arithmetic number, because the mean of its divisors is an integer number (335759760).

Almost surely, 220011201100 is an apocalyptic number.

20011201100 is a gapful number since it is divisible by the number (20) 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 20011201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24174702720).

20011201100 is an abundant number, since it is smaller than the sum of its proper divisors (28338204340).

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

20011201100 is a wasteful number, since it uses less digits than its factorization.

20011201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 20011201100 its reverse (110211002), we get a palindrome (20121412102).

The spelling of 20011201100 in words is "twenty billion, eleven million, two hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 59 100 110 118 220 236 275 295 503 550 590 613 649 1006 1100 1180 1226 1298 1475 2012 2452 2515 2596 2950 3065 3245 5030 5533 5900 6130 6490 6743 10060 11066 12260 12575 12980 13486 15325 16225 22132 25150 26972 27665 29677 30650 32450 33715 36167 50300 55330 59354 61300 64900 67430 72334 110660 118708 134860 138325 144668 148385 168575 180835 276650 296770 308339 326447 337150 361670 397837 553300 593540 616678 652894 674300 723340 741925 795674 904175 1233356 1305788 1483850 1541695 1591348 1632235 1808350 1989185 2967700 3083390 3264470 3391729 3616700 3978370 6166780 6528940 6783458 7708475 7956740 8161175 9945925 13566916 15416950 16322350 16958645 18192001 19891850 30833900 32644700 33917290 36384002 39783700 67834580 72768004 84793225 90960005 169586450 181920010 200112011 339172900 363840020 400224022 454800025 800448044 909600050 1000560055 1819200100 2001120110 4002240220 5002800275 10005600550 20011201100