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23132120310 = 23251356934747
BaseRepresentation
bin10101100010110010…
…000010010011110110
32012201010011110120200
4111202302002103312
5334333310322220
614343213341330
71446143530665
oct254262022366
965633143520
1023132120310
1198a052a402
124596a97846
13224856aa70
141196280ddc
15905c0b890
hex562c824f6

23132120310 has 96 divisors (see below), whose sum is σ = 64885635360. Its totient is φ = 5683889664.

The previous prime is 23132120273. The next prime is 23132120311. The reversal of 23132120310 is 1302123132.

23132120310 is a `hidden beast` number, since 2 + 31 + 321 + 2 + 0 + 310 = 666.

It is a super-2 number, since 2×231321203102 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23132120311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 648357 + ... + 683103.

It is an arithmetic number, because the mean of its divisors is an integer number (675892035).

Almost surely, 223132120310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23132120310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32442817680).

23132120310 is an abundant number, since it is smaller than the sum of its proper divisors (41753515050).

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

23132120310 is a wasteful number, since it uses less digits than its factorization.

23132120310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35342 (or 35339 counting only the distinct ones).

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

Adding to 23132120310 its reverse (1302123132), we get a palindrome (24434243442).

The spelling of 23132120310 in words is "twenty-three billion, one hundred thirty-two million, one hundred twenty thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 569 585 1138 1170 1707 2845 3414 5121 5690 7397 8535 10242 14794 17070 22191 25605 34747 36985 44382 51210 66573 69494 73970 104241 110955 133146 173735 208482 221910 312723 332865 347470 451711 521205 625446 665730 903422 1042410 1355133 1563615 2258555 2710266 3127230 4065399 4517110 6775665 8130798 13551330 19771043 20326995 39542086 40653990 59313129 98855215 118626258 177939387 197710430 257023559 296565645 355878774 514047118 593131290 771070677 889696935 1285117795 1542141354 1779393870 2313212031 2570235590 3855353385 4626424062 7710706770 11566060155 23132120310