Search a number
-
+
13130351060838 = 23111753346363761
BaseRepresentation
bin1011111100010010010111…
…1010010010011101100110
31201111020201202000111211120
42333010211322102131212
53210111424332421323
643532000000114410
72523431224341624
oct277044572223546
951436652014746
1013130351060838
114202606959050
121580900005a06
137432574c7c4b
14335725d96514
1517b83d2435e3
hexbf125e92766

13130351060838 has 128 divisors (see below), whose sum is σ = 30914951629824. Its totient is φ = 3673065676800.

The previous prime is 13130351060837. The next prime is 13130351060851. The reversal of 13130351060838 is 83806015303131.

It is a super-2 number, since 2×131303510608382 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13130351060838.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13130351060833) 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, 205898878 + ... + 205962638.

It is an arithmetic number, because the mean of its divisors is an integer number (241523059608).

Almost surely, 213130351060838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13130351060838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15457475814912).

13130351060838 is an abundant number, since it is smaller than the sum of its proper divisors (17784600568986).

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

13130351060838 is a wasteful number, since it uses less digits than its factorization.

13130351060838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67310.

The product of its (nonzero) digits is 155520, while the sum is 42.

Adding to 13130351060838 its reverse (83806015303131), we get a palindrome (96936366363969).

The spelling of 13130351060838 in words is "thirteen trillion, one hundred thirty billion, three hundred fifty-one million, sixty thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 11 17 22 33 34 51 53 66 102 106 159 187 318 374 561 583 901 1122 1166 1749 1802 2703 3463 3498 5406 6926 9911 10389 19822 20778 29733 38093 58871 59466 63761 76186 114279 117742 127522 176613 183539 191283 228558 353226 367078 382566 550617 647581 701371 1083937 1101234 1295162 1402742 1942743 2018929 2104113 2167874 3120163 3251811 3379333 3885486 4037858 4208226 6056787 6240326 6503622 6758666 9360489 10137999 11923307 12113574 18720978 20275998 23846614 34321793 35769921 37172663 57448661 68643586 71539842 74345326 102965379 111517989 114897322 172345983 205930758 220804343 223035978 344691966 441608686 631935271 662413029 1263870542 1324826058 1895805813 2428847773 3753673831 3791611626 4857695546 7286543319 7507347662 11261021493 11702630179 14573086638 22522042986 23405260358 35107890537 41290412141 70215781074 82580824282 123871236423 128728931969 198944713043 247742472846 257457863938 386186795907 397889426086 596834139129 772373591814 1193668278258 2188391843473 4376783686946 6565175530419 13130351060838