Search a number
-
+
23131211310 = 235549119387
BaseRepresentation
bin10101100010101110…
…100100011000101110
32012201001110021200000
4111202232210120232
5334333042230220
614343142045130
71446133023564
oct254256443056
965631407600
1023131211310
11989aa69469
1245967197a6
1322483100ac
1411960c5a34
15905acc390
hex562ba462e

23131211310 has 96 divisors (see below), whose sum is σ = 62498846592. Its totient is φ = 6155442720.

The previous prime is 23131211309. The next prime is 23131211371. The reversal of 23131211310 is 1311213132.

23131211310 is a `hidden beast` number, since 2 + 31 + 312 + 11 + 310 = 666.

It is a super-2 number, since 2×231312113102 (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 an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1183437 + ... + 1202823.

It is an arithmetic number, because the mean of its divisors is an integer number (651029652).

Almost surely, 223131211310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23131211310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31249423296).

23131211310 is an abundant number, since it is smaller than the sum of its proper divisors (39367635282).

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

23131211310 is a wasteful number, since it uses less digits than its factorization.

23131211310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19900 (or 19888 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 23131211310 its reverse (1311213132), we get a palindrome (24442424442).

The spelling of 23131211310 in words is "twenty-three billion, one hundred thirty-one million, two hundred eleven thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 491 810 982 1215 1473 2430 2455 2946 4419 4910 7365 8838 13257 14730 19387 22095 26514 38774 39771 44190 58161 66285 79542 96935 116322 119313 132570 174483 193870 198855 238626 290805 348966 397710 523449 581610 596565 872415 1046898 1193130 1570347 1744830 2617245 3140694 4711041 5234490 7851735 9422082 9519017 15703470 19038034 23555205 28557051 47110410 47595085 57114102 85671153 95190170 142785255 171342306 257013459 285570510 428355765 514026918 771040377 856711530 1285067295 1542080754 2313121131 2570134590 3855201885 4626242262 7710403770 11565605655 23131211310