Search a number
-
+
20213310102000 = 243533368885017
BaseRepresentation
bin1001001100010010001110…
…01010110001100111110000
32122120101002100001102120220
410212021013022301213300
510122133324341231000
6110553511053533040
74154235444665661
oct446110712614760
978511070042526
1020213310102000
116493464657934
1223255847a4180
13b38150ccb7c2
144dc487d4b368
15250bdbab41a0
hex1262472b19f0

20213310102000 has 80 divisors (see below), whose sum is σ = 65167711788192. Its totient is φ = 5390216025600.

The previous prime is 20213310101969. The next prime is 20213310102053. The reversal of 20213310102000 is 20101331202.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1684436509 + ... + 1684448508.

Almost surely, 220213310102000 is an apocalyptic number.

20213310102000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20213310102000 is an abundant number, since it is smaller than the sum of its proper divisors (44954401686192).

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

20213310102000 is a wasteful number, since it uses less digits than its factorization.

20213310102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3368885043 (or 3368885027 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 20213310102000 its reverse (20101331202), we get a palindrome (20233411433202).

The spelling of 20213310102000 in words is "twenty trillion, two hundred thirteen billion, three hundred ten million, one hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 3368885017 6737770034 10106655051 13475540068 16844425085 20213310102 26951080136 33688850170 40426620204 50533275255 53902160272 67377700340 80853240408 84222125425 101066550510 134755400680 161706480816 168444250850 202133101020 252666376275 269510801360 336888501700 404266202040 421110627125 505332752550 673777003400 808532404080 842221254250 1010665505100 1263331881375 1347554006800 1684442508500 2021331010200 2526663762750 3368885017000 4042662020400 5053327525500 6737770034000 10106655051000 20213310102000