Search a number
-
+
21313111101300 = 22325283285316079
BaseRepresentation
bin1001101100010010110000…
…11010101000111101110100
32210110111212100122220200100
410312021120122220331310
510243143222420220200
6113155035202114100
74326551522150364
oct466113032507564
983414770586610
1021313111101300
116877926648737
12248275994b930
13bb7a827ac585
145397bac129a4
1526e609d56d00
hex1362586a8f74

21313111101300 has 108 divisors (see below), whose sum is σ = 67609639581120. Its totient is φ = 5615020415040.

The previous prime is 21313111101253. The next prime is 21313111101301. The reversal of 21313111101300 is 310111131312.

21313111101300 is a `hidden beast` number, since 21 + 31 + 311 + 1 + 1 + 0 + 1 + 300 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21313111101301) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 142583340 + ... + 142732739.

Almost surely, 221313111101300 is an apocalyptic number.

21313111101300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21313111101300 is an abundant number, since it is smaller than the sum of its proper divisors (46296528479820).

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

21313111101300 is a wasteful number, since it uses less digits than its factorization.

21313111101300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285316182 (or 285316172 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 21313111101300 its reverse (310111131312), we get a palindrome (21623222232612).

The spelling of 21313111101300 in words is "twenty-one trillion, three hundred thirteen billion, one hundred eleven million, one hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 83 90 100 150 166 180 225 249 300 332 415 450 498 747 830 900 996 1245 1494 1660 2075 2490 2988 3735 4150 4980 6225 7470 8300 12450 14940 18675 24900 37350 74700 285316079 570632158 855948237 1141264316 1426580395 1711896474 2567844711 2853160790 3423792948 4279741185 5135689422 5706321580 7132901975 8559482370 10271378844 12839223555 14265803950 17118964740 21398705925 23681234557 25678447110 28531607900 42797411850 47362469114 51356894220 64196117775 71043703671 85594823700 94724938228 118406172785 128392235550 142087407342 213131111013 236812345570 256784471100 284174814684 355218518355 426262222026 473624691140 592030863925 710437036710 852524444052 1065655555065 1184061727850 1420874073420 1776092591775 2131311110130 2368123455700 3552185183550 4262622220260 5328277775325 7104370367100 10656555550650 21313111101300