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21320322210 = 23251121957789
BaseRepresentation
bin10011110110110010…
…100100110010100010
32001000211221120211100
4103312302210302202
5322131000302320
613443332255230
71353223514535
oct236662446242
961024846740
1021320322210
119050847700
124170171516
13201a0a9895
1410637b6a1c
1584bb22790
hex4f6ca4ca2

21320322210 has 72 divisors (see below), whose sum is σ = 60930340380. Its totient is φ = 5168560320.

The previous prime is 21320322203. The next prime is 21320322211. The reversal of 21320322210 is 1222302312.

21320322210 is a `hidden beast` number, since 2 + 1 + 320 + 322 + 21 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20672975961 + 647346249 = 143781^2 + 25443^2 .

It is a super-2 number, since 2×213203222102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (21320322211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 968005 + ... + 989784.

Almost surely, 221320322210 is an apocalyptic number.

21320322210 is an abundant number, since it is smaller than the sum of its proper divisors (39610018170).

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

21320322210 is a wasteful number, since it uses less digits than its factorization.

21320322210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1957824 (or 1957810 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 21320322210 its reverse (1222302312), we get a palindrome (22542624522).

The spelling of 21320322210 in words is "twenty-one billion, three hundred twenty million, three hundred twenty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 121 165 198 242 330 363 495 605 726 990 1089 1210 1815 2178 3630 5445 10890 1957789 3915578 5873367 9788945 11746734 17620101 19577890 21535679 29366835 35240202 43071358 58733670 64607037 88100505 107678395 129214074 176201010 193821111 215356790 236892469 323035185 387642222 473784938 646070370 710677407 969105555 1184462345 1421354814 1938211110 2132032221 2368924690 3553387035 4264064442 7106774070 10660161105 21320322210