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12401322102 = 2341330719181
BaseRepresentation
bin10111000110010110…
…10010100001110110
31012000021021102210000
423203023102201312
5200344214301402
65410323212130
7616213333011
oct134313224166
935007242700
1012401322102
11529424a934
1224a1217046
131228349b20
14859048378
154c8ae5c1c
hex2e32d2876

12401322102 has 80 divisors (see below), whose sum is σ = 30024740592. Its totient is φ = 3803163840.

The previous prime is 12401322013. The next prime is 12401322127. The reversal of 12401322102 is 20122310421.

It is a happy number.

12401322102 is a `hidden beast` number, since 1 + 240 + 1 + 322 + 102 = 666.

12401322102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 636952 + ... + 656132.

Almost surely, 212401322102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12401322102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15012370296).

12401322102 is an abundant number, since it is smaller than the sum of its proper divisors (17623418490).

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

12401322102 is a wasteful number, since it uses less digits than its factorization.

12401322102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19515 (or 19506 counting only the distinct ones).

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

Adding to 12401322102 its reverse (20122310421), we get a palindrome (32523632523).

The spelling of 12401322102 in words is "twelve billion, four hundred one million, three hundred twenty-two thousand, one hundred two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 307 351 614 702 921 1053 1842 2106 2763 3991 5526 7982 8289 11973 16578 19181 23946 24867 35919 38362 49734 57543 71838 107757 115086 172629 215514 249353 323271 345258 498706 517887 646542 748059 1035774 1496118 1553661 2244177 3107322 4488354 5888567 6732531 11777134 13465062 17665701 20197593 35331402 40395186 52997103 76551371 105994206 153102742 158991309 229654113 317982618 459308226 476973927 688962339 953947854 1377924678 2066887017 4133774034 6200661051 12401322102