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21320321130 = 2325538950221
BaseRepresentation
bin10011110110110010…
…100100100001101010
32001000211221112100100
4103312302210201222
5322131000234010
613443332250230
71353223511433
oct236662444152
961024845310
1021320321130
119050846909
124170170976
13201a0a9244
1410637b648a
1584bb222c0
hex4f6ca486a

21320321130 has 96 divisors (see below), whose sum is σ = 57114467280. Its totient is φ = 5515361280.

The previous prime is 21320321119. The next prime is 21320321159. The reversal of 21320321130 is 3112302312.

21320321130 is a `hidden beast` number, since 21 + 320 + 321 + 1 + 3 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4268923569 + 17051397561 = 65337^2 + 130581^2 .

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 399420 + ... + 449640.

Almost surely, 221320321130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21320321130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28557233640).

21320321130 is an abundant number, since it is smaller than the sum of its proper divisors (35794146150).

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

21320321130 is a wasteful number, since it uses less digits than its factorization.

21320321130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50376 (or 50373 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 21320321130 its reverse (3112302312), we get a palindrome (24432623442).

The spelling of 21320321130 in words is "twenty-one billion, three hundred twenty million, three hundred twenty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 89 90 106 159 178 265 267 318 445 477 530 534 795 801 890 954 1335 1590 1602 2385 2670 4005 4717 4770 8010 9434 14151 23585 28302 42453 47170 50221 70755 84906 100442 141510 150663 212265 251105 301326 424530 451989 502210 753315 903978 1506630 2259945 2661713 4469669 4519890 5323426 7985139 8939338 13308565 13409007 15970278 22348345 23955417 26617130 26818014 39925695 40227021 44696690 47910834 67045035 79851390 80454042 119777085 134090070 201135105 236892457 239554170 402270210 473784914 710677371 1184462285 1421354742 2132032113 2368924570 3553386855 4264064226 7106773710 10660160565 21320321130