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13120143404130 = 233576941874817
BaseRepresentation
bin1011111011101100010101…
…1111001010110001100010
31201110021101100111211021000
42332323011133022301202
53204430023202413010
643523151034412430
72522620245602550
oct276730537126142
951407340454230
1013120143404130
1141a9248a01524
12157a931591116
137422bb7a23a9
1433503841abd0
1517b4420177c0
hexbeec57cac62

13120143404130 has 64 divisors (see below), whose sum is σ = 39985198951680. Its totient is φ = 2998889920512.

The previous prime is 13120143404113. The next prime is 13120143404149. The reversal of 13120143404130 is 3140434102131.

13120143404130 is a `hidden beast` number, since 1 + 3 + 1 + 201 + 4 + 3 + 40 + 413 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13120143404094 and 13120143404103.

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, 3470935519 + ... + 3470939298.

It is an arithmetic number, because the mean of its divisors is an integer number (624768733620).

Almost surely, 213120143404130 is an apocalyptic number.

13120143404130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13120143404130 is an abundant number, since it is smaller than the sum of its proper divisors (26865055547550).

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

13120143404130 is a wasteful number, since it uses less digits than its factorization.

13120143404130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6941874840 (or 6941874834 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 13120143404130 its reverse (3140434102131), we get a palindrome (16260577506261).

The spelling of 13120143404130 in words is "thirteen trillion, one hundred twenty billion, one hundred forty-three million, four hundred four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1890 6941874817 13883749634 20825624451 34709374085 41651248902 48593123719 62476873353 69418748170 97186247438 104128122255 124953746706 145779371157 187430620059 208256244510 242965618595 291558742314 312384366765 374861240118 437338113471 485931237190 624768733530 728896855785 874676226942 937153100295 1312014340413 1457793711570 1874306200590 2186690567355 2624028680826 4373381134710 6560071702065 13120143404130