Search a number
-
+
13202054130104 = 237192915771317
BaseRepresentation
bin1100000000011101011110…
…1111110010100110111000
31201202002210211222211112122
43000013113233302212320
53212300301324130404
644024535005500412
72531550131356040
oct300072757624670
951662724884478
1013202054130104
11422aa6141a284
121592791271708
13749c43724b98
14338da8c52720
1517d6381123be
hexc01d7bf29b8

13202054130104 has 96 divisors (see below), whose sum is σ = 29861114755680. Its totient is φ = 5359571981568.

The previous prime is 13202054130103. The next prime is 13202054130137. The reversal of 13202054130104 is 40103145020231.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13202054130103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185082254 + ... + 185153570.

It is an arithmetic number, because the mean of its divisors is an integer number (311053278705).

Almost surely, 213202054130104 is an apocalyptic number.

13202054130104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13202054130104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14930557377840).

13202054130104 is an abundant number, since it is smaller than the sum of its proper divisors (16659060625576).

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

13202054130104 is a wasteful number, since it uses less digits than its factorization.

13202054130104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80525 (or 80502 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 13202054130104 its reverse (40103145020231), we get a palindrome (53305199150335).

The spelling of 13202054130104 in words is "thirteen trillion, two hundred two billion, fifty-four million, one hundred thirty thousand, one hundred four".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 361 532 722 1064 1444 2527 2888 5054 9157 10108 18314 20216 36628 64099 71317 73256 128198 142634 173983 256396 285268 347966 499219 512792 570536 695932 998438 1217881 1355023 1391864 1996876 2435762 2710046 3305677 3993752 4871524 5420092 6611354 9485161 9743048 10840184 13222708 18970322 23139739 25745437 26445416 37940644 46279478 51490874 75881288 92558956 102981748 180218059 185117912 205963496 360436118 653049769 720872236 1306099538 1441744472 2612199076 4571348383 5224398152 9142696766 12407945611 18285393532 24815891222 36570787064 49631782444 86855619277 99263564888 173711238554 235750966609 347422477108 471501933218 694844954216 943003866436 1650256766263 1886007732872 3300513532526 6601027065052 13202054130104