Search a number
-
+
21314235532000 = 255328118962843
BaseRepresentation
bin1001101100010100110110…
…11100000000001011100000
32210110121202201110220121211
410312022123130000023200
510243203023244011000
6113155342530355504
74326621424515115
oct466123334001340
983417681426554
1021314235532000
11687835332a104
122482a1242bb94
13bb7c01735298
145398862b090c
1526e6739167ba
hex13629b7002e0

21314235532000 has 96 divisors (see below), whose sum is σ = 52555446294624. Its totient is φ = 8495353216000.

The previous prime is 21314235531991. The next prime is 21314235532001. The reversal of 21314235532000 is 23553241312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21314235532001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8357422 + ... + 10605421.

It is an arithmetic number, because the mean of its divisors is an integer number (547452565569).

Almost surely, 221314235532000 is an apocalyptic number.

21314235532000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21314235532000 is an abundant number, since it is smaller than the sum of its proper divisors (31241210762624).

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

21314235532000 is a wasteful number, since it uses less digits than its factorization.

21314235532000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18963149 (or 18963131 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

Adding to 21314235532000 its reverse (23553241312), we get a palindrome (21337788773312).

The spelling of 21314235532000 in words is "twenty-one trillion, three hundred fourteen billion, two hundred thirty-five million, five hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 281 400 500 562 800 1000 1124 1405 2000 2248 2810 4000 4496 5620 7025 8992 11240 14050 22480 28100 35125 44960 56200 70250 112400 140500 224800 281000 562000 1124000 18962843 37925686 75851372 94814215 151702744 189628430 303405488 379256860 474071075 606810976 758513720 948142150 1517027440 1896284300 2370355375 3034054880 3792568600 4740710750 5328558883 7585137200 9481421500 10657117766 15170274400 18962843000 21314235532 26642794415 37925686000 42628471064 53285588830 75851372000 85256942128 106571177660 133213972075 170513884256 213142355320 266427944150 426284710640 532855888300 666069860375 852569421280 1065711776600 1332139720750 2131423553200 2664279441500 4262847106400 5328558883000 10657117766000 21314235532000