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10302003212312 = 23723411453134263
BaseRepresentation
bin1001010111101001111100…
…1111011111000000011000
31100110212021022120000021002
42111322133033133000120
52322242000310243222
633524401442004132
72112203146321040
oct225723717370030
940425238500232
1010302003212312
113312067271389
1211a4720046648
13599622cb7656
14278896324720
1512cea33eb392
hex95e9f3df018

10302003212312 has 128 divisors (see below), whose sum is σ = 23613793781760. Its totient is φ = 4117310714880.

The previous prime is 10302003212297. The next prime is 10302003212317. The reversal of 10302003212312 is 21321230020301.

It is a super-2 number, since 2×103020032123122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10302003212317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76662893 + ... + 76797155.

It is an arithmetic number, because the mean of its divisors is an integer number (184482763920).

Almost surely, 210302003212312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10302003212312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11806896890880).

10302003212312 is an abundant number, since it is smaller than the sum of its proper divisors (13311790569448).

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

10302003212312 is a wasteful number, since it uses less digits than its factorization.

10302003212312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135793 (or 135789 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 10302003212312 its reverse (21321230020301), we get a palindrome (31623233232613).

The spelling of 10302003212312 in words is "ten trillion, three hundred two billion, three million, two hundred twelve thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 23 28 41 46 56 82 92 161 164 184 287 322 328 574 644 943 1148 1288 1453 1886 2296 2906 3772 5812 6601 7544 10171 11624 13202 20342 26404 33419 40684 52808 59573 66838 81368 119146 133676 134263 233933 238292 267352 268526 417011 467866 476584 537052 834022 935732 939841 1074104 1370179 1668044 1871464 1879682 2740358 3088049 3336088 3759364 5480716 5504783 6176098 7518728 9591253 10961432 11009566 12352196 19182506 21616343 22019132 24704392 38365012 38533481 43232686 44038264 76730024 77066962 86465372 126610009 154133924 172930744 195084139 253220018 308267848 390168278 506440036 780336556 886270063 1012880072 1365588973 1560673112 1772540126 2731177946 3545080252 4486935197 5462355892 7090160504 7998449699 8973870394 10924711784 15996899398 17947740788 31408546379 31993798796 35895481576 55989147893 62817092758 63987597592 111978295786 125634185516 183964343077 223956591572 251268371032 367928686154 447913183144 735857372308 1287750401539 1471714744616 2575500803078 5151001606156 10302003212312