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132030123210 = 232511320396367
BaseRepresentation
bin111101011110110011…
…0111100110011001010
3110121210101222012010100
41322331212330303022
54130344202420320
6140353115430230
712352554346626
oct1727546746312
9417711865110
10132030123210
1150aa2620807
1221708755376
13c5b1667c7b
146566d66186
15367b1c6790
hex1ebd9bccca

132030123210 has 96 divisors (see below), whose sum is σ = 346540446720. Its totient is φ = 34873864704.

The previous prime is 132030123209. The next prime is 132030123217. The reversal of 132030123210 is 12321030231.

132030123210 is a `hidden beast` number, since 1 + 320 + 301 + 2 + 32 + 10 = 666.

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 (132030123217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20733447 + ... + 20739813.

It is an arithmetic number, because the mean of its divisors is an integer number (3609796320).

Almost surely, 2132030123210 is an apocalyptic number.

132030123210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132030123210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173270223360).

132030123210 is an abundant number, since it is smaller than the sum of its proper divisors (214510323510).

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

132030123210 is a wasteful number, since it uses less digits than its factorization.

132030123210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8532 (or 8529 counting only the distinct ones).

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

Adding to 132030123210 its reverse (12321030231), we get a palindrome (144351153441).

The spelling of 132030123210 in words is "one hundred thirty-two billion, thirty million, one hundred twenty-three thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 113 226 339 565 678 1017 1130 1695 2034 2039 3390 4078 5085 6117 6367 10170 10195 12234 12734 18351 19101 20390 30585 31835 36702 38202 57303 61170 63670 91755 95505 114606 183510 191010 230407 286515 460814 573030 691221 719471 1152035 1382442 1438942 2073663 2158413 2304070 3456105 3597355 4147326 4316826 6475239 6912210 7194710 10368315 10792065 12950478 12982313 20736630 21584130 25964626 32376195 38946939 64752390 64911565 77893878 116840817 129823130 194734695 233681634 389469390 584204085 1168408170 1467001369 2934002738 4401004107 7335006845 8802008214 13203012321 14670013690 22005020535 26406024642 44010041070 66015061605 132030123210