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21132332325 = 3352131032227
BaseRepresentation
bin10011101011100101…
…011100110100100101
32000112202012201012000
4103223211130310211
5321234334113300
613412535115513
71345451601216
oct235345346445
960482181160
1021132332325
118a64718065
124119212b99
131cba169070
14104683d40d
1583a38bc00
hex4eb95cd25

21132332325 has 144 divisors (see below), whose sum is σ = 42402911040. Its totient is φ = 10257217920.

The previous prime is 21132332321. The next prime is 21132332359. The reversal of 21132332325 is 52323323112.

It is a happy number.

21132332325 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 2 + 332 + 325 = 666.

It is not a de Polignac number, because 21132332325 - 22 = 21132332321 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21132332321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 93093862 + ... + 93094088.

It is an arithmetic number, because the mean of its divisors is an integer number (294464660).

Almost surely, 221132332325 is an apocalyptic number.

21132332325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

21132332325 is an abundant number, since it is smaller than the sum of its proper divisors (21270578715).

21132332325 is a wasteful number, since it uses less digits than its factorization.

21132332325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 351 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

Adding to 21132332325 its reverse (52323323112), we get a palindrome (73455655437).

The spelling of 21132332325 in words is "twenty-one billion, one hundred thirty-two million, three hundred thirty-two thousand, three hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 27 39 45 65 75 103 117 135 195 225 227 309 325 351 515 585 675 681 927 975 1135 1339 1545 1755 2043 2575 2781 2925 2951 3405 4017 4635 5675 6129 6695 7725 8775 8853 10215 10609 12051 13905 14755 17025 20085 23175 23381 26559 30645 31827 33475 36153 44265 51075 53045 60255 69525 70143 73775 79677 95481 100425 116905 132795 137917 153225 159135 180765 210429 221325 265225 286443 301275 303953 350715 398385 413751 477405 584525 631287 663975 689585 795675 903825 911859 1052145 1241253 1432215 1519765 1753575 1991925 2068755 2387025 2408243 2735577 3156435 3447925 3723759 4559295 5260725 6206265 7161075 7224729 7598825 8206731 10343775 12041215 13677885 15782175 18618795 21674187 22796475 31031325 31307159 36123645 41033655 60206075 65022561 68389425 93093975 93921477 108370935 156535795 180618225 205168275 281764431 325112805 469607385 541854675 782678975 845293293 1408822155 1625564025 2348036925 4226466465 7044110775 21132332325