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130323233232 = 24331471205081
BaseRepresentation
bin111100101011111011…
…1101011100111010000
3110110101110011012021000
41321113313223213100
54113400221430412
6135511503102000
712262350130203
oct1712767534720
9413343135230
10130323233232
11502a7082035
1221310ba1900
13c39bb485ba
1464443a993a
1535cb4114dc
hex1e57deb9d0

130323233232 has 80 divisors (see below), whose sum is σ = 374332072960. Its totient is φ = 43411334400.

The previous prime is 130323233219. The next prime is 130323233233. The reversal of 130323233232 is 232332323031.

130323233232 is a `hidden beast` number, since 1 + 3 + 0 + 323 + 2 + 332 + 3 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 130323233196 and 130323233205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130323233233) 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 15 ways as a sum of consecutive naturals, for example, 532932 + ... + 738012.

It is an arithmetic number, because the mean of its divisors is an integer number (4679150912).

Almost surely, 2130323233232 is an apocalyptic number.

130323233232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130323233232 is an abundant number, since it is smaller than the sum of its proper divisors (244008839728).

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

130323233232 is a wasteful number, since it uses less digits than its factorization.

130323233232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206569 (or 206557 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 130323233232 its reverse (232332323031), we get a palindrome (362655556263).

The spelling of 130323233232 in words is "one hundred thirty billion, three hundred twenty-three million, two hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1471 2942 4413 5884 8826 11768 13239 17652 23536 26478 35304 39717 52956 70608 79434 105912 158868 205081 211824 317736 410162 615243 635472 820324 1230486 1640648 1845729 2460972 3281296 3691458 4921944 5537187 7382916 9843888 11074374 14765832 22148748 29531664 44297496 88594992 301674151 603348302 905022453 1206696604 1810044906 2413393208 2715067359 3620089812 4826786416 5430134718 7240179624 8145202077 10860269436 14480359248 16290404154 21720538872 32580808308 43441077744 65161616616 130323233232