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23332010130 = 232511213164809
BaseRepresentation
bin10101101110101100…
…100011100010010010
32020020001021220212100
4111232230203202102
5340240443311010
614415113541230
71454121546102
oct255654434222
966201256770
1023332010130
119993347600
124631a14816
13227aab6b70
1411b4a35202
159185432c0
hex56eb23892

23332010130 has 144 divisors (see below), whose sum is σ = 71809035480. Its totient is φ = 5221117440.

The previous prime is 23332010099. The next prime is 23332010137. The reversal of 23332010130 is 3101023332.

23332010130 is a `hidden beast` number, since 2 + 333 + 201 + 0 + 130 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20806043049 + 2525967081 = 144243^2 + 50259^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (23332010137) 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 71 ways as a sum of consecutive naturals, for example, 59166 + ... + 223974.

Almost surely, 223332010130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23332010130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35904517740).

23332010130 is an abundant number, since it is smaller than the sum of its proper divisors (48477025350).

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

23332010130 is a wasteful number, since it uses less digits than its factorization.

23332010130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164857 (or 164843 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 23332010130 its reverse (3101023332), we get a palindrome (26433033462).

The spelling of 23332010130 in words is "twenty-three billion, three hundred thirty-two million, ten thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 13 15 18 22 26 30 33 39 45 55 65 66 78 90 99 110 117 121 130 143 165 195 198 234 242 286 330 363 390 429 495 585 605 715 726 858 990 1089 1170 1210 1287 1430 1573 1815 2145 2178 2574 3146 3630 4290 4719 5445 6435 7865 9438 10890 12870 14157 15730 23595 28314 47190 70785 141570 164809 329618 494427 824045 988854 1483281 1648090 1812899 2142517 2472135 2966562 3625798 4285034 4944270 5438697 6427551 7416405 9064495 10712585 10877394 12855102 14832810 16316091 18128990 19282653 19941889 21425170 23567687 27193485 32137755 32632182 38565306 39883778 47135374 54386970 59825667 64275510 70703061 81580455 96413265 99709445 117838435 119651334 141406122 163160910 179477001 192826530 199418890 212109183 235676870 259244557 299128335 353515305 358954002 424218366 518489114 598256670 707030610 777733671 897385005 1060545915 1296222785 1555467342 1794770010 2121091830 2333201013 2592445570 3888668355 4666402026 7777336710 11666005065 23332010130