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21313313311332 = 2237475135340221
BaseRepresentation
bin1001101100010011001000…
…11110000000101001100100
32210110112101110011020200210
410312021210132000221210
510243144131201430312
6113155111224135420
74326556526001120
oct466114436005144
983415343136623
1021313313311332
116877a1a800069
1224827b5607570
13bb7ab565b793
145397d9a0c580
1526e61c99ae3c
hex136264780a64

21313313311332 has 48 divisors (see below), whose sum is σ = 56836709016192. Its totient is φ = 6089388783360.

The previous prime is 21313313311321. The next prime is 21313313311349. The reversal of 21313313311332 is 23311331331312.

It is a super-2 number, since 2×213133133113322 (a number of 27 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 21313313311332.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1320982 + ... + 6661202.

It is an arithmetic number, because the mean of its divisors is an integer number (1184098104504).

Almost surely, 221313313311332 is an apocalyptic number.

It is an amenable number.

21313313311332 is an abundant number, since it is smaller than the sum of its proper divisors (35523395704860).

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

21313313311332 is a wasteful number, since it uses less digits than its factorization.

21313313311332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5387748 (or 5387746 counting only the distinct ones).

The product of its digits is 8748, while the sum is 30.

Adding to 21313313311332 its reverse (23311331331312), we get a palindrome (44624644642644).

The spelling of 21313313311332 in words is "twenty-one trillion, three hundred thirteen billion, three hundred thirteen million, three hundred eleven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 47513 95026 142539 190052 285078 332591 570156 665182 997773 1330364 1995546 3991092 5340221 10680442 16020663 21360884 32041326 37381547 64082652 74763094 112144641 149526188 224289282 448578564 253729920373 507459840746 761189761119 1014919681492 1522379522238 1776109442611 3044759044476 3552218885222 5328328327833 7104437770444 10656656655666 21313313311332