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21330512313200 = 24521922691236953
BaseRepresentation
bin1001101100110011001011…
…00110111111101101110000
32210112011210002010001211222
410312121211212333231300
510243434342123010300
6113211034014324212
74331035660051526
oct466314546775560
983464702101758
1021330512313200
11688424612a7a2
122485bb54b9668
13bb95c6949a6c
1453a58bcd0316
1526ecc7881785
hex1366659bfb70

21330512313200 has 120 divisors (see below), whose sum is σ = 53967560847600. Its totient is φ = 8079572551680.

The previous prime is 21330512313169. The next prime is 21330512313211. The reversal of 21330512313200 is 231321503312.

It is a self number, because there is not a number n which added to its sum of digits gives 21330512313200.

It is a congruent number.

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, 16625924 + ... + 17862876.

It is an arithmetic number, because the mean of its divisors is an integer number (449729673730).

Almost surely, 221330512313200 is an apocalyptic number.

21330512313200 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 21330512313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26983780423800).

21330512313200 is an abundant number, since it is smaller than the sum of its proper divisors (32637048534400).

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

21330512313200 is a wasteful number, since it uses less digits than its factorization.

21330512313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1239259 (or 1239248 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

Adding to 21330512313200 its reverse (231321503312), we get a palindrome (21561833816512).

The spelling of 21330512313200 in words is "twenty-one trillion, three hundred thirty billion, five hundred twelve million, three hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 152 190 200 304 380 400 475 760 950 1520 1900 2269 3800 4538 7600 9076 11345 18152 22690 36304 43111 45380 56725 86222 90760 113450 172444 181520 215555 226900 344888 431110 453800 689776 862220 907600 1077775 1236953 1724440 2155550 2473906 3448880 4311100 4947812 6184765 8622200 9895624 12369530 17244400 19791248 23502107 24739060 30923825 47004214 49478120 61847650 94008428 98956240 117510535 123695300 188016856 235021070 247390600 376033712 470042140 494781200 587552675 940084280 1175105350 1880168560 2350210700 2806646357 4700421400 5613292714 9400842800 11226585428 14033231785 22453170856 28066463570 44906341712 53326280783 56132927140 70166158925 106652561566 112265854280 140332317850 213305123132 224531708560 266631403915 280664635700 426610246264 533262807830 561329271400 853220492528 1066525615660 1122658542800 1333157019575 2133051231320 2666314039150 4266102462640 5332628078300 10665256156600 21330512313200