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23131331010 = 23251797155861
BaseRepresentation
bin10101100010101111…
…000001100111000010
32012201001200100212100
4111202233001213002
5334333110043020
614343144411230
71446134032554
oct254257014702
965631610770
1023131331010
1198a0040397
124596776b16
132248352718
1411961174d4
15905b02a90
hex562bc19c2

23131331010 has 96 divisors (see below), whose sum is σ = 64336092912. Its totient is φ = 5745623040.

The previous prime is 23131330973. The next prime is 23131331011. The reversal of 23131331010 is 1013313132.

It is a happy number.

23131331010 is a `hidden beast` number, since 2 + 31 + 313 + 310 + 10 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 19543201209 + 3588129801 = 139797^2 + 59901^2 .

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 (23131331011) 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, 70480 + ... + 226340.

Almost surely, 223131331010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23131331010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32168046456).

23131331010 is an abundant number, since it is smaller than the sum of its proper divisors (41204761902).

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

23131331010 is a wasteful number, since it uses less digits than its factorization.

23131331010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155988 (or 155985 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 23131331010 its reverse (1013313132), we get a palindrome (24144644142).

The spelling of 23131331010 in words is "twenty-three billion, one hundred thirty-one million, three hundred thirty-one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 97 102 153 170 194 255 291 306 485 510 582 765 873 970 1455 1530 1649 1746 2910 3298 4365 4947 8245 8730 9894 14841 16490 24735 29682 49470 74205 148410 155861 311722 467583 779305 935166 1402749 1558610 2337915 2649637 2805498 4675830 5299274 7013745 7948911 13248185 14027490 15118517 15897822 23846733 26496370 30237034 39744555 45355551 47693466 75592585 79489110 90711102 119233665 136066653 151185170 226777755 238467330 257014789 272133306 453555510 514029578 680333265 771044367 1285073945 1360666530 1542088734 2313133101 2570147890 3855221835 4626266202 7710443670 11565665505 23131331010