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31434632365341 = 31971481304911779
BaseRepresentation
bin1110010010110111100100…
…00110001000010100011101
311010022010021120120222221210
413021123302012020110131
513110011111341142331
6150504512025415033
76423035331320352
oct711336206102435
9133263246528853
1031434632365341
11a01a39751aa87
1236382aa93a479
13147037204ac9a
147a9631324629
15397a4859a446
hex1c96f218851d

31434632365341 has 32 divisors (see below), whose sum is σ = 42171448176000. Its totient is φ = 20827363415040.

The previous prime is 31434632365319. The next prime is 31434632365363. The reversal of 31434632365341 is 14356323643413.

It is an interprime number because it is at equal distance from previous prime (31434632365319) and next prime (31434632365363).

It is not a de Polignac number, because 31434632365341 - 25 = 31434632365309 is a prime.

It is a super-2 number, since 2×314346323653412 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31434632365841) 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, 2668695390 + ... + 2668707168.

It is an arithmetic number, because the mean of its divisors is an integer number (1317857755500).

Almost surely, 231434632365341 is an apocalyptic number.

It is an amenable number.

31434632365341 is a deficient number, since it is larger than the sum of its proper divisors (10736815810659).

31434632365341 is a wasteful number, since it uses less digits than its factorization.

31434632365341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16509.

The product of its digits is 5598720, while the sum is 48.

The spelling of 31434632365341 in words is "thirty-one trillion, four hundred thirty-four billion, six hundred thirty-two million, three hundred sixty-five thousand, three hundred forty-one".

Divisors: 1 3 197 591 1481 3049 4443 9147 11779 35337 291757 600653 875271 1801959 2320463 4515569 6961389 13546707 17444699 35914171 52334097 107742513 889567093 2668701279 3436605703 7075091687 10309817109 21225275061 53188887251 159566661753 10478210788447 31434632365341