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1320002222214 = 23131743166313921
BaseRepresentation
bin10011001101010110010…
…000110111100010000110
311200012011020001121210010
4103031112100313202012
5133111331032102324
62450222312411050
7164236612522134
oct23152620674206
94605136047703
101320002222214
1146989a929855
121939aa0a6a86
139762509c6a0
1447c61c8c754
1524509e7e829
hex13356437886

1320002222214 has 128 divisors (see below), whose sum is σ = 3082402971648. Its totient is φ = 373121925120.

The previous prime is 1320002222213. The next prime is 1320002222243. The reversal of 1320002222214 is 4122222000231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320002222213) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 94813974 + ... + 94827894.

It is an arithmetic number, because the mean of its divisors is an integer number (24081273216).

Almost surely, 21320002222214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1320002222214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541201485824).

1320002222214 is an abundant number, since it is smaller than the sum of its proper divisors (1762400749434).

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

1320002222214 is a wasteful number, since it uses less digits than its factorization.

1320002222214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15662.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 1320002222214 its reverse (4122222000231), we get a palindrome (5442224222445).

The spelling of 1320002222214 in words is "one trillion, three hundred twenty billion, two million, two hundred twenty-two thousand, two hundred fourteen".

Divisors: 1 2 3 6 13 17 26 34 39 43 51 78 86 102 129 221 258 442 559 663 731 1118 1326 1462 1663 1677 2193 3326 3354 4386 4989 9503 9978 13921 19006 21619 27842 28271 28509 41763 43238 56542 57018 64857 71509 83526 84813 129714 143018 169626 180973 214527 236657 361946 367523 429054 473314 542919 598603 709971 735046 929617 1085838 1102569 1197206 1215653 1419942 1795809 1859234 2205138 2431306 2788851 3076541 3591618 3646959 5577702 6153082 7293918 7781839 9229623 10176251 15563678 15803489 18459246 20352502 23150623 23345517 30528753 31606978 46301246 46691034 47410467 61057506 69451869 94820934 132291263 138903738 264582526 300958099 393560591 396873789 601916198 787121182 793747578 902874297 995476789 1180681773 1805748594 1990953578 2361363546 2986430367 5116287683 5972860734 10232575366 12941198257 15348863049 16923105413 25882396514 30697726098 33846210826 38823594771 50769316239 77647189542 101538632478 220000370369 440000740738 660001111107 1320002222214