Search a number
-
+
103212220322134 = 271143791931022251
BaseRepresentation
bin10111011101111011110111…
…101110101001000101010110
3111112102222210002120011201201
4113131323313232221011112
5102012012111400302014
61003303012304143114
730511560015314560
oct2735736756510526
9445388702504651
10103212220322134
112a9830696a8a30
12b6ab277907a9a
134578b4197aa51
141b6b6d8b9a330
15bdebc0228e74
hex5ddef7ba9156

103212220322134 has 128 divisors (see below), whose sum is σ = 201045728378880. Its totient is φ = 38579224320000.

The previous prime is 103212220322087. The next prime is 103212220322147. The reversal of 103212220322134 is 431223022212301.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100454509 + ... + 101476759.

It is an arithmetic number, because the mean of its divisors is an integer number (1570669752960).

Almost surely, 2103212220322134 is an apocalyptic number.

103212220322134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

103212220322134 is a deficient number, since it is larger than the sum of its proper divisors (97833508056746).

103212220322134 is a wasteful number, since it uses less digits than its factorization.

103212220322134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022586.

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 103212220322134 its reverse (431223022212301), we get a palindrome (534435242534435).

The spelling of 103212220322134 in words is "one hundred three trillion, two hundred twelve billion, two hundred twenty million, three hundred twenty-two thousand, one hundred thirty-four".

Divisors: 1 2 7 11 14 22 43 77 79 86 154 158 193 301 386 473 553 602 869 946 1106 1351 1738 2123 2702 3311 3397 4246 6083 6622 6794 8299 12166 14861 15247 16598 23779 29722 30494 37367 47558 58093 74734 91289 106729 116186 167717 182578 213458 261569 335434 523138 639023 655621 1022251 1174019 1278046 1311242 2044502 2348038 4589347 7155757 7211831 9178694 11244761 14311514 14423662 22489522 43956793 50482817 78713327 80757829 87913586 100965634 157426654 161515658 197294443 307697551 394588886 483524723 565304803 615395102 888336119 967049446 1130609606 1381061101 1776672238 2170238873 2762122202 3384673061 3472586647 4340477746 6218352833 6769346122 6945173294 8483661049 12436705666 15191672111 15586260997 16967322098 24308106529 30383344222 31172521994 38198453117 48616213058 59385627343 76396906234 93320271539 109103826979 118771254686 171448870967 186640543078 218207653958 267389171819 342897741934 534778343638 653241900773 670209222871 1200142096769 1306483801546 1340418445742 2400284193538 4691464560097 7372301451581 9382929120194 14744602903162 51606110161067 103212220322134