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13120203221424 = 24321312379566173
BaseRepresentation
bin1011111011101100100100…
…0011010110100110110000
31201110021112112001212011100
42332323021003112212300
53204430134011041144
643523201012444400
72522621603206155
oct276731103264660
951407475055140
1013120203221424
1141a9279748102
12157a949619700
137422cacb7140
1433504234c22c
1517b4473d1269
hexbeec90d69b0

13120203221424 has 120 divisors (see below), whose sum is σ = 39546098905040. Its totient is φ = 4036652361216.

The previous prime is 13120203221423. The next prime is 13120203221443. The reversal of 13120203221424 is 42412230202131.

13120203221424 is a `hidden beast` number, since 1 + 3 + 1 + 202 + 0 + 32 + 2 + 1 + 424 = 666.

It is not an unprimeable number, because it can be changed into a prime (13120203221423) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 22890402 + ... + 23456574.

Almost surely, 213120203221424 is an apocalyptic number.

It is an amenable number.

13120203221424 is an abundant number, since it is smaller than the sum of its proper divisors (26425895683616).

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

13120203221424 is a wasteful number, since it uses less digits than its factorization.

13120203221424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578579 (or 578570 counting only the distinct ones).

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

Adding to 13120203221424 its reverse (42412230202131), we get a palindrome (55532433423555).

The spelling of 13120203221424 in words is "thirteen trillion, one hundred twenty billion, two hundred three million, two hundred twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 12379 24758 37137 49516 74274 99032 111411 148548 160927 198064 222822 297096 321854 445644 482781 566173 594192 643708 891288 965562 1132346 1287416 1448343 1698519 1782576 1931124 2264692 2574832 2896686 3397038 3862248 4529384 5095557 5793372 6794076 7360249 7724496 9058768 10191114 11586744 13588152 14720498 20382228 22080747 23173488 27176304 29440996 40764456 44161494 58881992 66242241 81528912 88322988 117763984 132484482 176645976 264968964 353291952 529937928 1059875856 7008655567 14017311134 21025966701 28034622268 42051933402 56069244536 63077900103 84103866804 91112522371 112138489072 126155800206 168207733608 182225044742 252311600412 273337567113 336415467216 364450089484 504623200824 546675134226 728900178968 820012701339 1009246401648 1093350268452 1457800357936 1640025402678 2186700536904 3280050805356 4373401073808 6560101610712 13120203221424