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13211023103322 = 23111921164177893
BaseRepresentation
bin1100000000111110111001…
…0101101101010101011010
31201202221221220200212210220
43000033232111231111122
53212422133403301242
644033021002020510
72532315316364022
oct300175625552532
951687856625726
1013211023103322
114233844149640
121594474aa7736
1374aa42930a25
143395ba0aca82
1517d9b0710bec
hexc03ee56d55a

13211023103322 has 128 divisors (see below), whose sum is σ = 30532852730880. Its totient is φ = 3768726528000.

The previous prime is 13211023103293. The next prime is 13211023103351. The reversal of 13211023103322 is 22330132011231.

It is an interprime number because it is at equal distance from previous prime (13211023103293) and next prime (13211023103351).

It is a super-2 number, since 2×132110231033222 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13211023103292 and 13211023103301.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 169565808 + ... + 169643700.

It is an arithmetic number, because the mean of its divisors is an integer number (238537911960).

Almost surely, 213211023103322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13211023103322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15266426365440).

13211023103322 is an abundant number, since it is smaller than the sum of its proper divisors (17321829627558).

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

13211023103322 is a wasteful number, since it uses less digits than its factorization.

13211023103322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78780.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 13211023103322 its reverse (22330132011231), we get a palindrome (35541155114553).

The spelling of 13211023103322 in words is "thirteen trillion, two hundred eleven billion, twenty-three million, one hundred three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 211 418 422 627 633 641 1254 1266 1282 1923 2321 3846 4009 4642 6963 7051 8018 12027 12179 13926 14102 21153 24054 24358 36537 42306 44099 73074 77893 88198 132297 133969 135251 155786 233679 264594 267938 270502 401907 405753 467358 803814 811506 856823 1479967 1487761 1713646 2569769 2570469 2959934 2975522 4439901 4463283 5139538 5140938 7709307 8879802 8926566 15418614 16279637 16435423 28267459 32559274 32870846 48838911 49306269 49929413 56534918 84802377 97677822 98612538 99858826 149788239 169604754 180789653 299576478 312273037 361579306 542368959 549223543 624546074 936819111 948658847 1084737918 1098447086 1647670629 1873638222 1897317694 2845976541 3295341258 3435003407 5691953082 6870006814 10305010221 10435247317 10535106143 20610020442 20870494634 21070212286 31305741951 31605318429 62611483902 63210636858 115886167573 200167016717 231772335146 347658502719 400334033434 600501050151 695317005438 1201002100302 2201837183887 4403674367774 6605511551661 13211023103322