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3431321124241 = 1723671373372837
BaseRepresentation
bin110001111011101010101…
…011010011110110010001
3110011000211200001121120111
4301323222223103312101
5422204321201433431
611144154400041321
7502622223215113
oct61735253236621
913130750047514
103431321124241
11110324035831a
1247501a603241
131bb75915634a
14bc110b633b3
155e3cac2a7b1
hex31eeaad3d91

3431321124241 has 64 divisors (see below), whose sum is σ = 3888667740672. Its totient is φ = 3010724462592.

The previous prime is 3431321124131. The next prime is 3431321124251. The reversal of 3431321124241 is 1424211231343.

It is a happy number.

It is not a de Polignac number, because 3431321124241 - 227 = 3431186906513 is a prime.

It is a super-3 number, since 3×34313211242413 (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3431321124251) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1209487875 + ... + 1209490711.

It is an arithmetic number, because the mean of its divisors is an integer number (60760433448).

Almost surely, 23431321124241 is an apocalyptic number.

It is an amenable number.

3431321124241 is a deficient number, since it is larger than the sum of its proper divisors (457346616431).

3431321124241 is a wasteful number, since it uses less digits than its factorization.

3431321124241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3418.

The product of its digits is 13824, while the sum is 31.

Adding to 3431321124241 its reverse (1424211231343), we get a palindrome (4855532355584).

The spelling of 3431321124241 in words is "three trillion, four hundred thirty-one billion, three hundred twenty-one million, one hundred twenty-four thousand, two hundred forty-one".

Divisors: 1 17 23 67 137 337 391 1139 1541 2329 2837 3151 5729 7751 9179 22579 26197 46169 48229 53567 65251 131767 156043 190079 211117 383843 388669 519317 784873 956069 1061887 1109267 3093323 3231343 3588989 4371817 6607373 8828389 8939387 16253173 18052079 21989587 26040823 52586491 64056623 71146429 74320889 130981453 151969579 373822979 442693991 598938929 1088962591 1209489293 1473302329 2226684701 3012573419 8775757351 10181961793 25046139593 51213748123 149187874967 201842419073 3431321124241