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21302366211340 = 22543175321296637
BaseRepresentation
bin1001101011111110101111…
…11110001000110100001100
32210102111010112020221121221
410311333113332020310030
510243004221222230330
6113150101045533124
74326021331121524
oct465772776106414
983374115227557
1021302366211340
116873312413895
12248065b4141a4
13bb6a5c696516
1453907bb8c684
1526e1cb8aab7a
hex135fd7f88d0c

21302366211340 has 96 divisors (see below), whose sum is σ = 45829847004480. Its totient is φ = 8312877490176.

The previous prime is 21302366211337. The next prime is 21302366211397. The reversal of 21302366211340 is 4311266320312.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 21302366211296 and 21302366211305.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3209634502 + ... + 3209641138.

It is an arithmetic number, because the mean of its divisors is an integer number (477394239630).

Almost surely, 221302366211340 is an apocalyptic number.

21302366211340 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 21302366211340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22914923502240).

21302366211340 is an abundant number, since it is smaller than the sum of its proper divisors (24527480793140).

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

21302366211340 is a wasteful number, since it uses less digits than its factorization.

21302366211340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10571 (or 10569 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The spelling of 21302366211340 in words is "twenty-one trillion, three hundred two billion, three hundred sixty-six million, two hundred eleven thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 43 86 172 215 430 860 1753 2129 3506 4258 6637 7012 8516 8765 10645 13274 17530 21290 26548 33185 35060 42580 66370 75379 91547 132740 150758 183094 285391 301516 366188 376895 457735 570782 753790 915470 1141564 1426955 1507580 1830940 2853910 3732137 5707820 7464274 11634661 14130173 14928548 18660685 23269322 28260346 37321370 46538644 56520692 58173305 70650865 74642740 116346610 141301730 160481891 232693220 282603460 320963782 500290423 607597439 641927564 802409455 1000580846 1215194878 1604818910 2001161692 2430389756 2501452115 3037987195 3209637820 5002904230 6075974390 10005808460 12151948780 24770193269 49540386538 99080773076 123850966345 247701932690 495403865380 1065118310567 2130236621134 4260473242268 5325591552835 10651183105670 21302366211340