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13430123140020 = 22351995232150671
BaseRepresentation
bin1100001101101111000110…
…1110000001001110110100
31202112220111101001221222220
43003123301232001032310
53230014343010440040
644321414032122340
72554202654101146
oct303336156011664
952486441057886
1013430123140020
114308757432034
12160aa210963b0
137655bc044a62
14346042b28c96
151845358d02d0
hexc36f1b813b4

13430123140020 has 96 divisors (see below), whose sum is σ = 37865591500800. Its totient is φ = 3556554376320.

The previous prime is 13430123140013. The next prime is 13430123140033. The reversal of 13430123140020 is 2004132103431.

It is a happy number.

13430123140020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×134301231400202 (a number of 27 digits) contains 22 as substring.

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, 5169285 + ... + 7319955.

It is an arithmetic number, because the mean of its divisors is an integer number (394433244800).

Almost surely, 213430123140020 is an apocalyptic number.

13430123140020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13430123140020 is an abundant number, since it is smaller than the sum of its proper divisors (24435468360780).

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

13430123140020 is a wasteful number, since it uses less digits than its factorization.

13430123140020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2151405 (or 2151403 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13430123140020 its reverse (2004132103431), we get a palindrome (15434255243451).

The spelling of 13430123140020 in words is "thirteen trillion, four hundred thirty billion, one hundred twenty-three million, one hundred forty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 199 398 523 597 796 995 1046 1194 1569 1990 2092 2388 2615 2985 3138 3980 5230 5970 6276 7845 10460 11940 15690 31380 104077 208154 312231 416308 520385 624462 1040770 1248924 1561155 2081540 2150671 3122310 4301342 6244620 6452013 8602684 10753355 12904026 21506710 25808052 32260065 43013420 64520130 129040260 427983529 855967058 1124800933 1283950587 1711934116 2139917645 2249601866 2567901174 3374402799 4279835290 4499203732 5135802348 5624004665 6419752935 6748805598 8559670580 11248009330 12839505870 13497611196 16872013995 22496018660 25679011740 33744027990 67488055980 223835385667 447670771334 671506157001 895341542668 1119176928335 1343012314002 2238353856670 2686024628004 3357530785005 4476707713340 6715061570010 13430123140020