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212412013002 = 232734712893769
BaseRepresentation
bin1100010111010010111…
…1100001100111001010
3202022021100200021102200
43011310233201213022
511440004433404002
6241325234341030
721226524214560
oct3056457414712
9668240607380
10212412013002
11820a1053292
123520042a776
1317051940177
14a3d070da30
1557d2e7cb1c
hex3174be19ca

212412013002 has 96 divisors (see below), whose sum is σ = 528037660800. Its totient is φ = 60451259904.

The previous prime is 212412013001. The next prime is 212412013013. The reversal of 212412013002 is 200310214212.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (212412013001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56355774 + ... + 56359542.

It is an arithmetic number, because the mean of its divisors is an integer number (5500392300).

Almost surely, 2212412013002 is an apocalyptic number.

212412013002 is an abundant number, since it is smaller than the sum of its proper divisors (315625647798).

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

212412013002 is a wasteful number, since it uses less digits than its factorization.

212412013002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5420 (or 5417 counting only the distinct ones).

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

Adding to 212412013002 its reverse (200310214212), we get a palindrome (412722227214).

The spelling of 212412013002 in words is "two hundred twelve billion, four hundred twelve million, thirteen thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 347 694 1041 1289 2082 2429 2578 3123 3769 3867 4858 6246 7287 7538 7734 9023 11307 11601 14574 18046 21861 22614 23202 26383 27069 33921 43722 52766 54138 67842 79149 81207 158298 162414 237447 447283 474894 894566 1307843 1341849 2615686 2683698 3130981 3923529 4025547 4858241 6261962 7847058 8051094 9154901 9392943 9716482 11770587 14574723 18309802 18785886 23541174 27464703 28178829 29149446 34007687 43724169 54929406 56357658 68015374 82394109 87448338 102023061 164788218 204046122 306069183 612138366 1685809627 3371619254 5057428881 10114857762 11800667389 15172286643 23601334778 30344573286 35402002167 70804004334 106206006501 212412013002