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2535214111331 = 1117192476113099
BaseRepresentation
bin100100111001000110100…
…010010101101001100011
322222100211102121202200012
4210321012202111221203
5313014104303030311
65220354500515135
7351106653250136
oct44710642255143
98870742552605
102535214111331
118981a6300330
1234b4120abaab
131550ba0910c5
148a9c27d621d
1545e3038678b
hex24e46895a63

2535214111331 has 96 divisors (see below), whose sum is σ = 3208358937600. Its totient is φ = 1978154265600.

The previous prime is 2535214111259. The next prime is 2535214111351. The reversal of 2535214111331 is 1331114125352.

It is not a de Polignac number, because 2535214111331 - 210 = 2535214110307 is a prime.

It is a super-2 number, since 2×25352141113312 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2535214111351) 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 95 ways as a sum of consecutive naturals, for example, 193536020 + ... + 193549118.

It is an arithmetic number, because the mean of its divisors is an integer number (33420405600).

Almost surely, 22535214111331 is an apocalyptic number.

2535214111331 is a deficient number, since it is larger than the sum of its proper divisors (673144826269).

2535214111331 is a wasteful number, since it uses less digits than its factorization.

2535214111331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13273 (or 13254 counting only the distinct ones).

The product of its digits is 10800, while the sum is 32.

Adding to 2535214111331 its reverse (1331114125352), we get a palindrome (3866328236683).

The spelling of 2535214111331 in words is "two trillion, five hundred thirty-five billion, two hundred fourteen million, one hundred eleven thousand, three hundred thirty-one".

Divisors: 1 11 17 19 47 61 187 209 323 361 517 671 799 893 1037 1159 2867 3553 3971 6137 8789 9823 11407 12749 13099 15181 16967 19703 22021 31537 48739 54473 67507 144089 166991 186637 216733 222683 242231 248881 288439 374357 536129 599203 615653 799039 926041 1034987 2449513 2737691 3172829 4117927 4230977 4728739 6772183 8789429 10186451 10466101 11384857 11697407 13583663 15181741 17594779 37554833 46540747 52016129 80388563 115127111 128671477 149420293 166999151 193542569 198855919 222250733 258089597 288453079 413103163 638432161 713541827 884274193 2187415109 2444758063 2838985567 3172983869 3778262461 4903702343 7022753771 7848960097 12130211059 13557294713 41560887071 53940725773 133432321649 149130241843 230474010121 2535214111331