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1331004213 = 3271129103643
BaseRepresentation
bin100111101010101…
…1000001100110101
310102202112000112100
41033111120030311
510211214113323
6340024012313
744661230520
oct11725301465
93382460470
101331004213
11623354190
12311901099
131829a2076
14c8ab1bb7
157bcb6943
hex4f558335

1331004213 has 96 divisors (see below), whose sum is σ = 2507581440. Its totient is φ = 660078720.

The previous prime is 1331004203. The next prime is 1331004229. The reversal of 1331004213 is 3124001331.

It is not a de Polignac number, because 1331004213 - 26 = 1331004149 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331004203) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2069670 + ... + 2070312.

It is an arithmetic number, because the mean of its divisors is an integer number (26120640).

Almost surely, 21331004213 is an apocalyptic number.

It is an amenable number.

1331004213 is a deficient number, since it is larger than the sum of its proper divisors (1176577227).

1331004213 is a wasteful number, since it uses less digits than its factorization.

1331004213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1331004213 is about 36482.9304332862. The cubic root of 1331004213 is about 1100.0011606048.

Adding to 1331004213 its reverse (3124001331), we get a palindrome (4455005544).

The spelling of 1331004213 in words is "one billion, three hundred thirty-one million, four thousand, two hundred thirteen".

Divisors: 1 3 7 9 11 21 29 33 63 77 87 99 103 203 231 261 309 319 609 643 693 721 927 957 1133 1827 1929 2163 2233 2871 2987 3399 4501 5787 6489 6699 7073 7931 8961 10197 13503 18647 20097 20909 21219 23793 26883 32857 40509 49511 55941 62727 63657 66229 71379 98571 130529 148533 167823 188181 198687 205117 229999 295713 391587 445599 463603 596061 615351 689997 728519 1174761 1390809 1435819 1846053 1920641 2069991 2185557 4172427 4307457 5099633 5761923 6556671 12922371 13444487 15298899 17285769 21127051 40333461 45896697 63381153 121000383 147889357 190143459 443668071 1331004213