Search a number
-
+
202102011221100 = 223522692504361973
BaseRepresentation
bin101101111100111110001010…
…100101100101010001101100
3222111120202121122120212110120
4231330332022211211101230
5202442214404333033400
61553500214321004540
760366250146016464
oct5574761245452154
9874522548525416
10202102011221100
1159439a88600431
121a800882783750
1388a01a3c08633
1437c9b0a6b0ba4
15185720cb33ca0
hexb7cf8a96546c

202102011221100 has 72 divisors (see below), whose sum is σ = 586922272226640. Its totient is φ = 53693520679680.

The previous prime is 202102011221053. The next prime is 202102011221129. The reversal of 202102011221100 is 1122110201202.

It is a super-2 number, since 2×2021020112211002 (a number of 29 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 202102011221100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1252100287 + ... + 1252261686.

It is an arithmetic number, because the mean of its divisors is an integer number (8151698225370).

Almost surely, 2202102011221100 is an apocalyptic number.

202102011221100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202102011221100 is an abundant number, since it is smaller than the sum of its proper divisors (384820261005540).

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

202102011221100 is a wasteful number, since it uses less digits than its factorization.

202102011221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2504362259 (or 2504362252 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 202102011221100 its reverse (1122110201202), we get a palindrome (203224121422302).

The spelling of 202102011221100 in words is "two hundred two trillion, one hundred two billion, eleven million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 269 300 538 807 1076 1345 1614 2690 3228 4035 5380 6725 8070 13450 16140 20175 26900 40350 80700 2504361973 5008723946 7513085919 10017447892 12521809865 15026171838 25043619730 30052343676 37565429595 50087239460 62609049325 75130859190 125218098650 150261718380 187827147975 250436197300 375654295950 673673370737 751308591900 1347346741474 2021020112211 2694693482948 3368366853685 4042040224422 6736733707370 8084080448844 10105100561055 13473467414740 16841834268425 20210201122110 33683668536850 40420402244220 50525502805275 67367337073700 101051005610550 202102011221100