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13105202331204 = 22321971269854261
BaseRepresentation
bin1011111010110100101011…
…1011011111111001000100
31201101211211002020200022200
42332231022323133321010
53204203423244044304
643512240303354500
72521551062561304
oct276551273377104
951354732220280
1013105202331204
1141a2981078275
121577a618b2a30
13740a7a218b39
1433441bd75604
1517ad6a492e39
hexbeb4aedfe44

13105202331204 has 72 divisors (see below), whose sum is σ = 35361702492480. Its totient is φ = 4080196411200.

The previous prime is 13105202331181. The next prime is 13105202331211. The reversal of 13105202331204 is 40213320250131.

13105202331204 is a `hidden beast` number, since 1 + 3 + 10 + 520 + 2 + 3 + 3 + 120 + 4 = 666.

It is a super-2 number, since 2×131052023312042 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134878567 + ... + 134975694.

It is an arithmetic number, because the mean of its divisors is an integer number (491134756840).

Almost surely, 213105202331204 is an apocalyptic number.

It is an amenable number.

13105202331204 is an abundant number, since it is smaller than the sum of its proper divisors (22256500161276).

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

13105202331204 is a wasteful number, since it uses less digits than its factorization.

13105202331204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269854361 (or 269854356 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 13105202331204 its reverse (40213320250131), we get a palindrome (53318522581335).

The spelling of 13105202331204 in words is "thirteen trillion, one hundred five billion, two hundred two million, three hundred thirty-one thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 71 76 114 142 171 213 228 284 342 426 639 684 852 1278 1349 2556 2698 4047 5396 8094 12141 16188 24282 48564 269854261 539708522 809562783 1079417044 1619125566 2428688349 3238251132 4857376698 5127230959 9714753396 10254461918 15381692877 19159652531 20508923836 30763385754 38319305062 46145078631 57478957593 61526771508 76638610124 92290157262 114957915186 172436872779 184580314524 229915830372 344873745558 364033398089 689747491116 728066796178 1092100194267 1456133592356 2184200388534 3276300582801 4368400777068 6552601165602 13105202331204