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13100222421 = 34113132719
BaseRepresentation
bin11000011001101010…
…11000011111010101
31020210222101020210000
430030311120133111
5203312124104141
610003531121513
7642431024166
oct141465303725
936728336700
1013100222421
115612809000
1226572a3299
13130a092800
148c3bb776d
1551a14c5b6
hex30cd587d5

13100222421 has 120 divisors (see below), whose sum is σ = 23340493440. Its totient is φ = 7318602720.

The previous prime is 13100222419. The next prime is 13100222431. The reversal of 13100222421 is 12422200131.

It is a happy number.

13100222421 is a `hidden beast` number, since 13 + 10 + 0 + 222 + 421 = 666.

It is not a de Polignac number, because 13100222421 - 21 = 13100222419 is a prime.

It is a super-2 number, since 2×131002224212 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13100222394 and 13100222403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13100222431) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 18219700 + ... + 18220418.

It is an arithmetic number, because the mean of its divisors is an integer number (194504112).

Almost surely, 213100222421 is an apocalyptic number.

13100222421 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13100222421 is a deficient number, since it is larger than the sum of its proper divisors (10240271019).

13100222421 is an equidigital number, since it uses as much as digits as its factorization.

13100222421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 13100222421 its reverse (12422200131), we get a palindrome (25522422552).

The spelling of 13100222421 in words is "thirteen billion, one hundred million, two hundred twenty-two thousand, four hundred twenty-one".

Divisors: 1 3 9 11 13 27 33 39 81 99 117 121 143 169 297 351 363 429 507 719 891 1053 1089 1287 1331 1521 1573 1859 2157 3267 3861 3993 4563 4719 5577 6471 7909 9347 9801 11583 11979 13689 14157 16731 17303 19413 20449 23727 28041 35937 42471 50193 51909 58239 61347 71181 84123 86999 102817 107811 121511 127413 150579 155727 184041 213543 224939 252369 260997 308451 364533 467181 552123 640629 674817 757107 782991 925353 956989 1093599 1130987 1336621 1401543 1656369 2024451 2348973 2776059 2870967 3280797 3392961 4009863 6073353 7046919 8328177 8612901 9842391 10178883 12029589 12440857 14702831 18220059 25838703 30536649 36088767 37322571 44108493 77516109 91609947 108266301 111967713 132325479 161731141 335903139 396976437 485193423 1007709417 1190929311 1455580269 4366740807 13100222421