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13130422323132 = 2237926353039931
BaseRepresentation
bin1011111100010010101000…
…1010001000011110111100
31201111020220201010000022210
42333010222022020132330
53210112101103320012
643532011023340420
72523433051143462
oct277045212103674
951436821100283
1013130422323132
114202643101504
12158091ba51710
137432691b919a
14335731626832
1517b84461d23c
hexbf12a2887bc

13130422323132 has 96 divisors (see below), whose sum is σ = 31152447406080. Its totient is φ = 4303728411840.

The previous prime is 13130422323107. The next prime is 13130422323143. The reversal of 13130422323132 is 23132322403131.

13130422323132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13130422323132.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1322160207 + ... + 1322170137.

It is an arithmetic number, because the mean of its divisors is an integer number (324504660480).

Almost surely, 213130422323132 is an apocalyptic number.

13130422323132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13130422323132 is an abundant number, since it is smaller than the sum of its proper divisors (18022025082948).

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

13130422323132 is a wasteful number, since it uses less digits than its factorization.

13130422323132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15583 (or 15581 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 13130422323132 its reverse (23132322403131), we get a palindrome (36262744726263).

The spelling of 13130422323132 in words is "thirteen trillion, one hundred thirty billion, four hundred twenty-two million, three hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 79 158 237 263 316 474 526 789 948 1052 1578 3156 5303 9931 10606 15909 19862 20777 21212 29793 31818 39724 41554 59586 62331 63636 83108 119172 124662 249324 418937 784549 837874 1256811 1394689 1569098 1675748 2353647 2513622 2611853 2789378 3138196 4184067 4707294 5027244 5223706 5578756 7835559 8368134 9414588 10447412 15671118 16736268 31342236 52664093 105328186 110180431 157992279 206336387 210656372 220360862 315984558 330541293 412672774 440721724 619009161 631969116 661082586 825345548 1238018322 1322165172 2476036644 4160463347 8320926694 12481390041 13850656459 16641853388 24962780082 27701312918 41551969377 49925560164 55402625836 83103938754 166207877508 1094201860261 2188403720522 3282605580783 4376807441044 6565211161566 13130422323132