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13010771786430 = 23511416911391641
BaseRepresentation
bin1011110101010100111001…
…1011100011101010111110
31201001211002001111222100110
42331111032123203222332
53201132030034131210
643401022133210450
72511666024311505
oct275251633435276
951054061458313
1013010771786430
114166923535330
1215616a9190a26
13734bab52a942
1432da2088b83c
15178690197420
hexbd54e6e3abe

13010771786430 has 128 divisors (see below), whose sum is σ = 34945934188032. Its totient is φ = 3072741120000.

The previous prime is 13010771786423. The next prime is 13010771786431. The reversal of 13010771786430 is 3468717701031.

It is a self number, because there is not a number n which added to its sum of digits gives 13010771786430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13010771786431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8653410 + ... + 10045050.

It is an arithmetic number, because the mean of its divisors is an integer number (273015110844).

Almost surely, 213010771786430 is an apocalyptic number.

13010771786430 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 13010771786430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17472967094016).

13010771786430 is an abundant number, since it is smaller than the sum of its proper divisors (21935162401602).

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

13010771786430 is a wasteful number, since it uses less digits than its factorization.

13010771786430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392394.

The product of its (nonzero) digits is 592704, while the sum is 48.

The spelling of 13010771786430 in words is "thirteen trillion, ten billion, seven hundred seventy-one million, seven hundred eighty-six thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 41 55 66 82 110 123 165 205 246 330 410 451 615 691 902 1230 1353 1382 2073 2255 2706 3455 4146 4510 6765 6910 7601 10365 13530 15202 20730 22803 28331 38005 45606 56662 76010 84993 114015 141655 169986 228030 283310 311641 424965 623282 849930 934923 1391641 1558205 1869846 2783282 3116410 4174923 4674615 6958205 8349846 9349230 13916410 15308051 20874615 30616102 41749230 45924153 57057281 76540255 91848306 114114562 153080510 171171843 229620765 285286405 342343686 459241530 570572810 627630091 855859215 961623931 1255260182 1711718430 1882890273 1923247862 2884871793 3138150455 3765780546 4808119655 5769743586 6276300910 9414451365 9616239310 10577863241 14424358965 18828902730 21155726482 28848717930 31733589723 39426581171 52889316205 63467179446 78853162342 105778632410 118279743513 158667948615 197132905855 236559487026 317335897230 394265811710 433692392881 591398717565 867384785762 1182797435130 1301077178643 2168461964405 2602154357286 4336923928810 6505385893215 13010771786430