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13100003342322 = 23134179151343391
BaseRepresentation
bin1011111010100001010100…
…0010111011011111110010
31201101100101202102200022220
42332220111002323133302
53204112301323423242
643510020343141510
72521305203110311
oct276502502733762
951340352380286
1013100003342322
1141a0753408a46
121576a50744896
1374042c098260
143340876b6278
1517ab63d31bec
hexbea150bb7f2

13100003342322 has 128 divisors (see below), whose sum is σ = 29463363256320. Its totient is φ = 3856956480000.

The previous prime is 13100003342311. The next prime is 13100003342339. The reversal of 13100003342322 is 22324330000131.

It is a super-2 number, since 2×131000033423222 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13100003342292 and 13100003342301.

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, 37977247 + ... + 38320637.

It is an arithmetic number, because the mean of its divisors is an integer number (230182525440).

Almost surely, 213100003342322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13100003342322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14731681628160).

13100003342322 is an abundant number, since it is smaller than the sum of its proper divisors (16363359913998).

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

13100003342322 is a wasteful number, since it uses less digits than its factorization.

13100003342322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343680.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 13100003342322 its reverse (22324330000131), we get a palindrome (35424333342453).

The spelling of 13100003342322 in words is "thirteen trillion, one hundred billion, three million, three hundred forty-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 13 26 39 41 78 79 82 123 151 158 237 246 302 453 474 533 906 1027 1066 1599 1963 2054 3081 3198 3239 3926 5889 6162 6191 6478 9717 11778 11929 12382 18573 19434 23858 35787 37146 42107 71574 80483 84214 126321 155077 160966 241449 252642 310154 343391 465231 482898 489089 686782 930462 978178 1030173 1467267 2060346 2934534 4464083 6358157 8928166 12716314 13392249 14079031 19074471 26784498 27127889 28158062 38148942 42237093 51852041 54255778 81383667 84474186 103704082 155556123 162767334 183027403 311112246 352662557 366054806 549082209 674076533 705325114 1057987671 1098164418 1112243449 1348153066 2022229599 2115975342 2125933681 2224486898 3336730347 4044459198 4096311239 4251867362 6377801043 6673460694 8192622478 12288933717 12755602086 14459164837 24577867434 27637137853 28918329674 43377494511 53252046107 55274275706 82911413559 86754989022 106504092214 159756138321 165822827118 167948760799 319512276642 335897521598 503846282397 1007692564794 2183333890387 4366667780774 6550001671161 13100003342322