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1213003312312 = 2311137797126241
BaseRepresentation
bin10001101001101100101…
…000011010110010111000
311021221222021201211002011
4101221230220122302320
5124333212321443222
62325125050415304
7153431232014401
oct21515450326270
94257867654064
101213003312312
114284828240a0
12177108431534
138a50257924c
14429d14b69a8
1521846593c77
hex11a6ca1acb8

1213003312312 has 64 divisors (see below), whose sum is σ = 2502409321440. Its totient is φ = 546649497600.

The previous prime is 1213003312307. The next prime is 1213003312321. The reversal of 1213003312312 is 2132133003121.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9545512 + ... + 9671752.

Almost surely, 21213003312312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1213003312312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251204660720).

1213003312312 is an abundant number, since it is smaller than the sum of its proper divisors (1289406009128).

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

1213003312312 is a wasteful number, since it uses less digits than its factorization.

1213003312312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127192 (or 127188 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 1213003312312 its reverse (2132133003121), we get a palindrome (3345136315433).

The spelling of 1213003312312 in words is "one trillion, two hundred thirteen billion, three million, three hundred twelve thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 137 274 548 797 1096 1507 1594 3014 3188 6028 6376 8767 12056 17534 35068 70136 109189 126241 218378 252482 436756 504964 873512 1009928 1201079 1388651 2402158 2777302 4804316 5554604 9608632 11109208 17295017 34590034 69180068 100614077 138360136 190245187 201228154 380490374 402456308 760980748 804912616 1106754847 1521961496 2213509694 4427019388 8854038776 13784128549 27568257098 55136514196 110273028392 151625414039 303250828078 606501656156 1213003312312