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25505313111102 = 2311331122384239
BaseRepresentation
bin1011100110010011010110…
…01000001011110000111110
310100022021200010100100120010
411303021223020023300332
511320334340124023402
6130124551252204050
75241461302245306
oct563115310136076
9110267603310503
1025505313111102
118143819369000
122a3b125909626
1311301aa193096
1464266c712606
152e36b9890a6c
hex17326b20bc3e

25505313111102 has 128 divisors (see below), whose sum is σ = 57965832437760. Its totient is φ = 7473359493600.

The previous prime is 25505313111079. The next prime is 25505313111127. The reversal of 25505313111102 is 20111131350552.

It is a self number, because there is not a number n which added to its sum of digits gives 25505313111102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 302731099 + ... + 302815337.

It is an arithmetic number, because the mean of its divisors is an integer number (452858065920).

Almost surely, 225505313111102 is an apocalyptic number.

25505313111102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 25505313111102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28982916218880).

25505313111102 is an abundant number, since it is smaller than the sum of its proper divisors (32460519326658).

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

25505313111102 is a wasteful number, since it uses less digits than its factorization.

25505313111102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85531 (or 85509 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 30.

Adding to 25505313111102 its reverse (20111131350552), we get a palindrome (45616444461654).

The spelling of 25505313111102 in words is "twenty-five trillion, five hundred five billion, three hundred thirteen million, one hundred eleven thousand, one hundred two".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 121 186 242 341 363 682 726 1023 1223 1331 2046 2446 2662 3669 3751 3993 7338 7502 7986 11253 13453 22506 26906 37913 40359 41261 75826 80718 82522 84239 113739 123783 147983 168478 227478 247566 252717 295966 417043 443949 505434 834086 887898 926629 1251129 1627813 1853258 2502258 2611409 2779887 3255626 4587473 4883439 5222818 5559774 7834227 9174946 9766878 10192919 13762419 15668454 20385838 27524838 28725499 30578757 50462203 57450998 61157514 86176497 100924406 103024297 112122109 151386609 172352994 206048594 224244218 302773218 309072891 315980489 336366327 618145782 631960978 672732654 947941467 1133267267 1895882934 2266534534 3193753207 3399801801 3475785379 6387506414 6799603602 6951570758 9581259621 10427356137 12465939937 19162519242 20854712274 24931879874 35131285277 37397819811 70262570554 74795639622 105393855831 137125339307 210787711662 274250678614 386444138047 411376017921 772888276094 822752035842 1159332414141 2318664828282 4250885518517 8501771037034 12752656555551 25505313111102