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13421004402213 = 351723638922109
BaseRepresentation
bin1100001101001101001000…
…1100110010111000100101
31202112000221212120002100000
43003103102030302320211
53224342204111332323
644313305130011513
72553431000103552
oct303232214627045
952460855502300
1013421004402213
1143048a8111391
1216090b7276b99
13764797ac0205
14345819a45a29
151841a009be43
hexc34d2332e25

13421004402213 has 96 divisors (see below), whose sum is σ = 22216453459200. Its totient is φ = 8053265949696.

The previous prime is 13421004402203. The next prime is 13421004402283. The reversal of 13421004402213 is 31220440012431.

13421004402213 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 1 + 0 + 0 + 440 + 2 + 213 = 666.

It is not a de Polignac number, because 13421004402213 - 28 = 13421004401957 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13421004402203) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 607027003 + ... + 607049111.

It is an arithmetic number, because the mean of its divisors is an integer number (231421390200).

Almost surely, 213421004402213 is an apocalyptic number.

It is an amenable number.

13421004402213 is a deficient number, since it is larger than the sum of its proper divisors (8795449056987).

13421004402213 is a wasteful number, since it uses less digits than its factorization.

13421004402213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28553 (or 28541 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 13421004402213 its reverse (31220440012431), we get a palindrome (44641444414644).

The spelling of 13421004402213 in words is "thirteen trillion, four hundred twenty-one billion, four million, four hundred two thousand, two hundred thirteen".

Divisors: 1 3 9 17 23 27 51 69 81 153 207 243 391 459 621 1173 1377 1863 3519 4131 5589 6389 10557 19167 22109 31671 57501 66327 95013 108613 146947 172503 198981 325839 375853 440841 508507 517509 596943 977517 1127559 1322523 1525521 1552527 1790829 2498099 2932551 3382677 3967569 4576563 5372487 7494297 8644619 8797653 10148031 11902707 13729689 22482891 25933857 26392959 30444093 35708121 41189067 67448673 77801571 91332279 123567201 141254401 202346019 233404713 423763203 607038057 700214139 1271289609 2100642417 2401324817 3248851223 3813868827 7203974451 9746553669 11441606481 21611923353 29239661007 34324819443 55230470791 64835770059 87718983021 165691412373 194507310177 263156949063 497074237119 583521930531 789470847189 1491222711357 4473668134071 13421004402213