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11314132121110 = 25713101761161761
BaseRepresentation
bin1010010010100100011011…
…0100110111011000010110
31111001121202022122211201111
42210221012310313120112
52440332320310333420
640021350205045234
72245263512151160
oct244510664673026
944047668584644
1011314132121110
113672329694a45
121328907b5681a
13640bc20408b0
142b186d543930
1514948e89845a
hexa4a46d37616

11314132121110 has 128 divisors (see below), whose sum is σ = 25346744011008. Its totient is φ = 3540602880000.

The previous prime is 11314132121087. The next prime is 11314132121113. The reversal of 11314132121110 is 1112123141311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11314132121113) 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, 69862630 + ... + 70024390.

It is an arithmetic number, because the mean of its divisors is an integer number (198021437586).

Almost surely, 211314132121110 is an apocalyptic number.

11314132121110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11314132121110 is an abundant number, since it is smaller than the sum of its proper divisors (14032611889898).

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

11314132121110 is a wasteful number, since it uses less digits than its factorization.

11314132121110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162650.

The product of its (nonzero) digits is 144, while the sum is 22.

Adding to 11314132121110 its reverse (1112123141311), we get a palindrome (12426255262421).

It can be divided in two parts, 1131413 and 2121110, that added together give a palindrome (3252523).

The spelling of 11314132121110 in words is "eleven trillion, three hundred fourteen billion, one hundred thirty-two million, one hundred twenty-one thousand, one hundred ten".

Divisors: 1 2 5 7 10 13 14 26 35 65 70 91 101 130 182 202 455 505 707 761 910 1010 1313 1414 1522 2626 3535 3805 5327 6565 7070 7610 9191 9893 10654 13130 18382 19786 26635 45955 49465 53270 69251 76861 91910 98930 138502 153722 161761 323522 346255 384305 538027 692510 768610 808805 999193 1076054 1132327 1617610 1998386 2102893 2264654 2690135 4205786 4995965 5380270 5661635 6994351 9991930 10514465 11323270 13988702 14720251 16337861 21028930 29440502 32675722 34971755 69943510 73601255 81689305 114365027 123100121 147202510 163378610 212392193 228730054 246200242 424784386 571825135 615500605 861700847 1061960965 1143650270 1231001210 1486745351 1600301573 1723401694 2123921930 2973490702 3200603146 4308504235 7433726755 8001507865 8617008470 11202111011 12433112221 14867453510 16003015730 22404222022 24866224442 56010555055 62165561105 87031785547 112021110110 124331122210 161630458873 174063571094 323260917746 435158927735 808152294365 870317855470 1131413212111 1616304588730 2262826424222 5657066060555 11314132121110