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21312311130 = 23251189241883
BaseRepresentation
bin10011110110010100…
…000000111101011010
32001000021212120200200
4103312110000331122
5322121422424010
613442444443030
71353065440605
oct236624007532
961007776620
1021312311130
119047275880
124169549476
1320185333b6
1410626cd33c
1584b08dcc0
hex4f6500f5a

21312311130 has 96 divisors (see below), whose sum is σ = 61128924480. Its totient is φ = 5108547840.

The previous prime is 21312311123. The next prime is 21312311161. The reversal of 21312311130 is 3111321312.

21312311130 is a `hidden beast` number, since 213 + 12 + 311 + 130 = 666.

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, 32832 + ... + 209051.

It is an arithmetic number, because the mean of its divisors is an integer number (636759630).

Almost surely, 221312311130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21312311130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30564462240).

21312311130 is an abundant number, since it is smaller than the sum of its proper divisors (39816613350).

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

21312311130 is a wasteful number, since it uses less digits than its factorization.

21312311130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241996 (or 241993 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 21312311130 its reverse (3111321312), we get a palindrome (24423632442).

The spelling of 21312311130 in words is "twenty-one billion, three hundred twelve million, three hundred eleven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 89 90 99 110 165 178 198 267 330 445 495 534 801 890 979 990 1335 1602 1958 2670 2937 4005 4895 5874 8010 8811 9790 14685 17622 29370 44055 88110 241883 483766 725649 1209415 1451298 2176947 2418830 2660713 3628245 4353894 5321426 7256490 7982139 10884735 13303565 15964278 21527587 21769470 23946417 26607130 39910695 43055174 47892834 64582761 79821390 107637935 119732085 129165522 193748283 215275870 236803457 239464170 322913805 387496566 473606914 645827610 710410371 968741415 1184017285 1420820742 1937482830 2131231113 2368034570 3552051855 4262462226 7104103710 10656155565 21312311130