Search a number
-
+
21101402141200 = 2452379769181003
BaseRepresentation
bin1001100110001000011011…
…00101000011001000010000
32202201021101222220102112001
410303010031211003020100
510231211132422004300
6112513503400243344
74305345262530433
oct463041545031020
982637358812461
1021101402141200
1167a606643a507
122449714a70554
13ba0b1370a254
1452d455a3381a
15268d689a116a
hex13310d943210

21101402141200 has 120 divisors (see below), whose sum is σ = 50896261354400. Its totient is φ = 8407296737280.

The previous prime is 21101402141089. The next prime is 21101402141201. The reversal of 21101402141200 is 214120410112.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (21101402141201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116489899 + ... + 116670901.

Almost surely, 221101402141200 is an apocalyptic number.

21101402141200 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 21101402141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25448130677200).

21101402141200 is an abundant number, since it is smaller than the sum of its proper divisors (29794859213200).

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

21101402141200 is a wasteful number, since it uses less digits than its factorization.

21101402141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182169 (or 182158 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 21101402141200 its reverse (214120410112), we get a palindrome (21315522551312).

The spelling of 21101402141200 in words is "twenty-one trillion, one hundred one billion, four hundred two million, one hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 379 400 758 769 1516 1538 1895 3032 3076 3790 3845 6064 6152 7580 7690 9475 12304 15160 15380 18950 19225 30320 30760 37900 38450 61520 75800 76900 151600 153800 181003 291451 307600 362006 582902 724012 905015 1165804 1448024 1457255 1810030 2331608 2896048 2914510 3620060 4525075 4663216 5829020 7240120 7286275 9050150 11658040 14480240 14572550 18100300 23316080 29145100 36200600 58290200 68600137 72401200 116580400 137200274 139191307 274400548 278382614 343000685 548801096 556765228 686001370 695956535 1097602192 1113530456 1372002740 1391913070 1715003425 2227060912 2744005480 2783826140 3430006850 3479782675 5488010960 5567652280 6860013700 6959565350 11135304560 13720027400 13919130700 27440054800 27838261400 52753505353 55676522800 105507010706 211014021412 263767526765 422028042824 527535053530 844056085648 1055070107060 1318837633825 2110140214120 2637675267650 4220280428240 5275350535300 10550701070600 21101402141200