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12402022100413 = 11172926979710667
BaseRepresentation
bin1011010001111001001000…
…0111110010110110111101
31121220121210020120211002011
42310132102013302312331
53111143320124203123
642213224342531221
72420005445333011
oct264362207626675
947817706524064
1012402022100413
113a51739179170
121483718136b11
136bc675c4273a
1430c392550541
151679120e4e0d
hexb47921f2dbd

12402022100413 has 64 divisors (see below), whose sum is σ = 14894456774400. Its totient is φ = 10193596887040.

The previous prime is 12402022100407. The next prime is 12402022100431. The reversal of 12402022100413 is 31400122020421.

It is a cyclic number.

It is not a de Polignac number, because 12402022100413 - 217 = 12402021969341 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12402022100443) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1162647906 + ... + 1162658572.

It is an arithmetic number, because the mean of its divisors is an integer number (232725887100).

Almost surely, 212402022100413 is an apocalyptic number.

It is an amenable number.

12402022100413 is a deficient number, since it is larger than the sum of its proper divisors (2492434673987).

12402022100413 is a wasteful number, since it uses less digits than its factorization.

12402022100413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11790.

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 12402022100413 its reverse (31400122020421), we get a palindrome (43802144120834).

The spelling of 12402022100413 in words is "twelve trillion, four hundred two billion, twenty-two million, one hundred thousand, four hundred thirteen".

Divisors: 1 11 17 29 187 269 319 493 797 2959 4573 5423 7801 8767 10667 13549 23113 50303 85811 117337 132617 149039 181339 214393 254243 309343 392921 1458787 1994729 2358323 2869423 3402773 3644681 4322131 5258831 6217397 8501599 31563653 40091491 48780191 57847141 68391367 83213267 93517589 105695749 144527183 246546371 536582101 915345937 1162653239 1414625539 1589799013 2286930131 2712010081 4191288307 15560880929 25156231441 38877812227 46104171377 66320973799 427655934497 729530711789 1127456554583 12402022100413