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12313123011030 = 23517149226971413
BaseRepresentation
bin1011001100101101111101…
…0100101011100111010110
31121121010022201021011102010
42303023133110223213112
53103214233442323110
642104323130525050
72410410444464262
oct263133724534726
947533281234363
1012313123011030
113a17a69a34566
12146a447b96786
136b417922c77a
14307d5b94b0a2
1516545c72e020
hexb32df52b9d6

12313123011030 has 128 divisors (see below), whose sum is σ = 31514141232000. Its totient is φ = 3068216008704.

The previous prime is 12313123010953. The next prime is 12313123011089. The reversal of 12313123011030 is 3011032131321.

It is a happy number.

It is a super-2 number, since 2×123131230110302 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12313123010988 and 12313123011006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 172385604 + ... + 172457016.

It is an arithmetic number, because the mean of its divisors is an integer number (246204228375).

Almost surely, 212313123011030 is an apocalyptic number.

12313123011030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12313123011030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15757070616000).

12313123011030 is an abundant number, since it is smaller than the sum of its proper divisors (19201018220970).

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

12313123011030 is a wasteful number, since it uses less digits than its factorization.

12313123011030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73858.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 12313123011030 its reverse (3011032131321), we get a palindrome (15324155142351).

The spelling of 12313123011030 in words is "twelve trillion, three hundred thirteen billion, one hundred twenty-three million, eleven thousand, thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 149 170 255 298 447 510 745 894 1490 2235 2269 2533 4470 4538 5066 6807 7599 11345 12665 13614 15198 22690 25330 34035 37995 38573 68070 71413 75990 77146 115719 142826 192865 214239 231438 338081 357065 385730 428478 578595 676162 714130 1014243 1071195 1157190 1214021 1690405 2028486 2142390 2428042 3380810 3642063 5071215 5747377 6070105 7284126 10142430 10640537 11494754 12140210 17242131 18210315 21281074 28736885 31921611 34484262 36420630 53202685 57473770 63843222 86210655 106405370 159608055 162036097 172421310 180889129 319216110 324072194 361778258 486108291 542667387 810180485 904445645 972216582 1085334774 1620360970 1808891290 2430541455 2713336935 2754613649 4861082910 5426673870 5509227298 8263840947 13773068245 16527681894 24143378453 27546136490 41319204735 48286756906 72430135359 82638409470 120716892265 144860270718 241433784530 362150676795 410437433701 724301353590 820874867402 1231312301103 2052187168505 2462624602206 4104374337010 6156561505515 12313123011030