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23123131212312 = 23326126981195131
BaseRepresentation
bin1010100000111110001100…
…00001011010001000011000
310000212112211202211110101200
411100133012001122020120
511012322133042243222
6121102341514514200
74604406514224165
oct520370601321030
9100775752743350
1023123131212312
117405512828aaa
122715501a35960
13cb966a933a41
1459d24629b06c
152a17443e1eac
hex1507c605a218

23123131212312 has 96 divisors (see below), whose sum is σ = 63654474134160. Its totient is φ = 7581034656000.

The previous prime is 23123131212299. The next prime is 23123131212317. The reversal of 23123131212312 is 21321213132132.

23123131212312 is a `hidden beast` number, since 2 + 3 + 1 + 2 + 3 + 131 + 212 + 312 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23123131212317) 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 23 ways as a sum of consecutive naturals, for example, 118402987 + ... + 118598117.

Almost surely, 223123131212312 is an apocalyptic number.

It is an amenable number.

23123131212312 is an abundant number, since it is smaller than the sum of its proper divisors (40531342921848).

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

23123131212312 is a wasteful number, since it uses less digits than its factorization.

23123131212312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222185 (or 222178 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 23123131212312 its reverse (21321213132132), we get a palindrome (44444344344444).

The spelling of 23123131212312 in words is "twenty-three trillion, one hundred twenty-three billion, one hundred thirty-one million, two hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 183 244 366 488 549 732 1098 1464 2196 4392 26981 53962 80943 107924 161886 195131 215848 242829 323772 390262 485658 585393 647544 780524 971316 1170786 1561048 1645841 1756179 1942632 2341572 3291682 3512358 4683144 4937523 6583364 7024716 9875046 11902991 13166728 14049432 14812569 19750092 23805982 29625138 35708973 39500184 47611964 59250276 71417946 95223928 107126919 118500552 142835892 214253838 285671784 428507676 857015352 5264829511 10529659022 15794488533 21059318044 31588977066 42118636088 47383465599 63177954132 94766931198 126355908264 189533862396 321154600171 379067724792 642309200342 963463800513 1284618400684 1926927601026 2569236801368 2890391401539 3853855202052 5780782803078 7707710404104 11561565606156 23123131212312