Search a number
-
+
13105435022202 = 23377116319925633
BaseRepresentation
bin1011111010110101100011…
…0011001001001101111010
31201101212102022002121100210
42332231120303021031322
53204204412331202302
643512315335011550
72521556616452565
oct276553063111572
951355368077323
1013105435022202
1141a2a90459486
121577b07809bb6
13740ab64aac13
14334440c274dc
1517ad80b0866c
hexbeb58cc937a

13105435022202 has 128 divisors (see below), whose sum is σ = 27604988006400. Its totient is φ = 4143747041280.

The previous prime is 13105435022191. The next prime is 13105435022203. The reversal of 13105435022202 is 20222053450131.

It is a self number, because there is not a number n which added to its sum of digits gives 13105435022202.

It is not an unprimeable number, because it can be changed into a prime (13105435022203) 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, 511259178 + ... + 511284810.

It is an arithmetic number, because the mean of its divisors is an integer number (215663968800).

Almost surely, 213105435022202 is an apocalyptic number.

13105435022202 is an abundant number, since it is smaller than the sum of its proper divisors (14499552984198).

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

13105435022202 is a wasteful number, since it uses less digits than its factorization.

13105435022202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26108.

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 13105435022202 its reverse (20222053450131), we get a palindrome (33327488472333).

The spelling of 13105435022202 in words is "thirteen trillion, one hundred five billion, four hundred thirty-five million, twenty-two thousand, two hundred two".

Divisors: 1 2 3 6 37 71 74 111 142 163 199 213 222 326 398 426 489 597 978 1194 2627 5254 6031 7363 7881 11573 12062 14129 14726 15762 18093 22089 23146 25633 28258 32437 34719 36186 42387 44178 51266 64874 69438 76899 84774 97311 153798 194622 428201 522773 856402 948421 1045546 1200169 1284603 1568319 1819943 1896842 2303027 2400338 2569206 2845263 3136638 3600507 3639886 4178179 4606054 5100967 5459829 5690526 6909081 7201014 8356358 10201934 10919658 12534537 13818162 15302901 25069074 30605802 67337891 85211999 134675782 154592623 170423998 188735779 202013673 255635997 296650709 309185246 362168657 377471558 404027346 463777869 511271994 566207337 593301418 724337314 831457621 889952127 927555738 1086505971 1132414674 1662915242 1779904254 2173011942 2494372863 4988745726 10976076233 13400240309 21952152466 26800480618 30763931977 32928228699 40200720927 59033491091 61527863954 65856457398 80401441854 92291795931 118066982182 177100473273 184583591862 354200946546 2184239170367 4368478340734 6552717511101 13105435022202