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21132133320 = 2335315680681
BaseRepresentation
bin10011101011100100…
…101100001111001000
32000112201211121012110
4103223210230033020
5321234311231240
613412530542320
71345450112064
oct235344541710
960481747173
1021132133320
118a645a15a1
1241191379a0
131cba0c95cc
1410467caaa4
1583a34cc80
hex4eb92c3c8

21132133320 has 64 divisors (see below), whose sum is σ = 65441456640. Its totient is φ = 5453452800.

The previous prime is 21132133301. The next prime is 21132133327. The reversal of 21132133320 is 2333123112.

It is not an unprimeable number, because it can be changed into a prime (21132133327) 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 15 ways as a sum of consecutive naturals, for example, 2836621 + ... + 2844060.

It is an arithmetic number, because the mean of its divisors is an integer number (1022522760).

Almost surely, 221132133320 is an apocalyptic number.

21132133320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21132133320 is an abundant number, since it is smaller than the sum of its proper divisors (44309323320).

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

21132133320 is a wasteful number, since it uses less digits than its factorization.

21132133320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5680726 (or 5680722 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 21132133320 its reverse (2333123112), we get a palindrome (23465256432).

The spelling of 21132133320 in words is "twenty-one billion, one hundred thirty-two million, one hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 5680681 11361362 17042043 22722724 28403405 34084086 45445448 56806810 68168172 85210215 113613620 136336344 170420430 176101111 227227240 340840860 352202222 528303333 681681720 704404444 880505555 1056606666 1408808888 1761011110 2113213332 2641516665 3522022220 4226426664 5283033330 7044044440 10566066660 21132133320