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1213014192 = 2431317412789
BaseRepresentation
bin100100001001101…
…0010000010110000
310010112111111122120
41020103102002300
54441012423232
6320211034240
742026310345
oct11023220260
93115444576
101213014192
11572795575
1229a29b980
131643ccca0
14b715a7cc
157175b92c
hex484d20b0

1213014192 has 160 divisors (see below), whose sum is σ = 3661640640. Its totient is φ = 342589440.

The previous prime is 1213014191. The next prime is 1213014193. The reversal of 1213014192 is 2914103121.

It is an interprime number because it is at equal distance from previous prime (1213014191) and next prime (1213014193).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1213014191) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 433534 + ... + 436322.

It is an arithmetic number, because the mean of its divisors is an integer number (22885254).

Almost surely, 21213014192 is an apocalyptic number.

1213014192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1213014192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1830820320).

1213014192 is an abundant number, since it is smaller than the sum of its proper divisors (2448626448).

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

1213014192 is a wasteful number, since it uses less digits than its factorization.

1213014192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2871 (or 2865 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 1213014192 is about 34828.3532771792. The cubic root of 1213014192 is about 1066.4863321873.

The spelling of 1213014192 in words is "one billion, two hundred thirteen million, fourteen thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 41 48 51 52 68 78 82 102 104 123 136 156 164 204 208 221 246 272 312 328 408 442 492 533 624 656 663 697 816 884 984 1066 1326 1394 1599 1768 1968 2091 2132 2652 2788 2789 3198 3536 4182 4264 5304 5576 5578 6396 8364 8367 8528 9061 10608 11152 11156 12792 16728 16734 18122 22312 25584 27183 33456 33468 36244 36257 44624 47413 54366 66936 72488 72514 94826 108732 108771 114349 133872 142239 144976 145028 189652 217464 217542 228698 284478 290056 343047 379304 434928 435084 457396 568956 580112 616369 686094 758608 870168 914792 1137912 1232738 1372188 1486537 1740336 1829584 1849107 1943933 2275824 2465476 2744376 2973074 3698214 3887866 4459611 4930952 5488752 5831799 5946148 7396428 7775732 8919222 9861904 11663598 11892296 14792856 15551464 17838444 23327196 23784592 25271129 29585712 31102928 35676888 46654392 50542258 71353776 75813387 93308784 101084516 151626774 202169032 303253548 404338064 606507096 1213014192