Search a number
-
+
11311010102310 = 2351760174349667
BaseRepresentation
bin1010010010011000110010…
…1111010011110000100110
31111001022200202000212001120
42210212030233103300212
52440304422041233220
640020112321234410
72245123242345432
oct244461457236046
944038622025046
1011311010102310
113670a77364016
121328196492a06
136408152a65a9
142b1654a579c2
1514935a750a40
hexa498cbd3c26

11311010102310 has 128 divisors (see below), whose sum is σ = 28830428734464. Its totient is φ = 2830246809600.

The previous prime is 11311010102303. The next prime is 11311010102323. The reversal of 11311010102310 is 1320101011311.

It is a super-2 number, since 2×113110101023102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11311010102310.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 227712097 + ... + 227761763.

It is an arithmetic number, because the mean of its divisors is an integer number (225237724488).

Almost surely, 211311010102310 is an apocalyptic number.

11311010102310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11311010102310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14415214367232).

11311010102310 is an abundant number, since it is smaller than the sum of its proper divisors (17519418632154).

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

11311010102310 is a wasteful number, since it uses less digits than its factorization.

11311010102310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51038.

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 11311010102310 its reverse (1320101011311), we get a palindrome (12631111113621).

Subtracting from 11311010102310 its reverse (1320101011311), we obtain a palindrome (9990909090999).

The spelling of 11311010102310 in words is "eleven trillion, three hundred eleven billion, ten million, one hundred two thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 510 601 743 1202 1486 1803 2229 3005 3606 3715 4458 6010 7430 9015 10217 11145 12631 18030 20434 22290 25262 30651 37893 49667 51085 61302 63155 75786 99334 102170 126310 149001 153255 189465 248335 298002 306510 378930 446543 496670 745005 844339 893086 1339629 1490010 1688678 2232715 2533017 2679258 4221695 4465430 5066034 6698145 7591231 8443390 12665085 13396290 15182462 22773693 25330170 29849867 36902581 37956155 45547386 59699734 73805162 75912310 89549601 110707743 113868465 149249335 179099202 184512905 221415486 227736930 298498670 369025810 447748005 507447739 553538715 627343877 895496010 1014895478 1107077430 1254687754 1522343217 1882031631 2537238695 3044686434 3136719385 3764063262 5074477390 6273438770 7611716085 9410158155 15223432170 18820316310 22178451181 44356902362 66535353543 110892255905 133070707086 221784511810 332676767715 377033670077 665353535430 754067340154 1131101010231 1885168350385 2262202020462 3770336700770 5655505051155 11311010102310