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1213135352 = 2311213149647
BaseRepresentation
bin100100001001110…
…1111100111111000
310010112201122211222
41020103233213320
54441030312402
6320213411212
742030323522
oct11023574770
93115648758
101213135352
11572868600
1229a339b08
13164443190
14b718ca12
15717827a2
hex484ef9f8

1213135352 has 96 divisors (see below), whose sum is σ = 2714796000. Its totient is φ = 504810240.

The previous prime is 1213135333. The next prime is 1213135379. The reversal of 1213135352 is 2535313121.

It is a Harshad number since it is a multiple of its sum of digits (26).

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 23 ways as a sum of consecutive naturals, for example, 1874693 + ... + 1875339.

It is an arithmetic number, because the mean of its divisors is an integer number (28279125).

Almost surely, 21213135352 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 1213135352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357398000).

1213135352 is an abundant number, since it is smaller than the sum of its proper divisors (1501660648).

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

1213135352 is a wasteful number, since it uses less digits than its factorization.

1213135352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 822 counting only the distinct ones).

The product of its digits is 2700, while the sum is 26.

The square root of 1213135352 is about 34830.0926211803. The cubic root of 1213135352 is about 1066.5218391042.

Adding to 1213135352 its reverse (2535313121), we get a palindrome (3748448473).

The spelling of 1213135352 in words is "one billion, two hundred thirteen million, one hundred thirty-five thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 121 143 149 242 286 298 484 572 596 647 968 1144 1192 1294 1573 1639 1937 2588 3146 3278 3874 5176 6292 6556 7117 7748 8411 12584 13112 14234 15496 16822 18029 21307 28468 33644 36058 42614 56936 67288 72116 78287 85228 92521 96403 144232 156574 170456 185042 192806 234377 313148 370084 385612 468754 626296 740168 771224 937508 1017731 1060433 1253239 1875016 2035462 2120866 2506478 4070924 4241732 5012956 8141848 8483464 10025912 11664763 13785629 23329526 27571258 46659052 55142516 93318104 110285032 151641919 303283838 606567676 1213135352