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13405500421212 = 22319251301977591
BaseRepresentation
bin1100001100010011011000…
…0101110011010001011100
31202110112221101002020200110
43003010312011303101130
53224113431101434322
644302222445530020
72552341540330014
oct303046605632134
952415841066613
1013405500421212
1142a9271563a49
1216060aab73910
13763196a27063
14344b88910c44
15183a93dd4c0c
hexc313617345c

13405500421212 has 96 divisors (see below), whose sum is σ = 33068344780800. Its totient is φ = 4214999160000.

The previous prime is 13405500421211. The next prime is 13405500421241. The reversal of 13405500421212 is 21212400550431.

It is a self number, because there is not a number n which added to its sum of digits gives 13405500421212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13405500421211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172732537 + ... + 172810127.

It is an arithmetic number, because the mean of its divisors is an integer number (344461924800).

Almost surely, 213405500421212 is an apocalyptic number.

13405500421212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13405500421212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16534172390400).

13405500421212 is an abundant number, since it is smaller than the sum of its proper divisors (19662844359588).

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

13405500421212 is a wasteful number, since it uses less digits than its factorization.

13405500421212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80887 (or 80885 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 13405500421212 its reverse (21212400550431), we get a palindrome (34617900971643).

The spelling of 13405500421212 in words is "thirteen trillion, four hundred five billion, five hundred million, four hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 251 502 753 1004 1506 3012 3019 4769 6038 9057 9538 12076 14307 18114 19076 28614 36228 57228 57361 77591 114722 155182 172083 229444 232773 310364 344166 465546 688332 757769 931092 1474229 1515538 2273307 2948458 3031076 4422687 4546614 5896916 8845374 9093228 14397611 17690748 19475341 28795222 38950682 43192833 57590444 58426023 77901364 86385666 116852046 172771332 233704092 234247229 370031479 468494458 702741687 740062958 936988916 1110094437 1405483374 1480125916 2220188874 2810966748 4440377748 4450697351 8901394702 13352092053 17802789404 26704184106 53408368212 58796054479 117592108958 176388163437 235184217916 352776326874 705552653748 1117125035101 2234250070202 3351375105303 4468500140404 6702750210606 13405500421212