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11241105314340 = 22351155730578057
BaseRepresentation
bin1010001110010100011000…
…0101101101001000100100
31110210122020221211200112110
42203211012011231020210
52433133240430024330
635524031551121020
72240100032430036
oct243450605551044
943718227750473
1011241105314340
113644364993180
121316727513170
136370547b7325
142ac102947c56
1514761869adb0
hexa394616d224

11241105314340 has 96 divisors (see below), whose sum is σ = 34398113629824. Its totient is φ = 2720223861760.

The previous prime is 11241105314339. The next prime is 11241105314347. The reversal of 11241105314340 is 4341350114211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11241105314298 and 11241105314307.

It is not an unprimeable number, because it can be changed into a prime (11241105314347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14921409 + ... + 15656648.

It is an arithmetic number, because the mean of its divisors is an integer number (358313683644).

Almost surely, 211241105314340 is an apocalyptic number.

11241105314340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11241105314340 is an abundant number, since it is smaller than the sum of its proper divisors (23157008315484).

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

11241105314340 is a wasteful number, since it uses less digits than its factorization.

11241105314340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30578637 (or 30578635 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 11241105314340 its reverse (4341350114211), we get a palindrome (15582455428551).

The spelling of 11241105314340 in words is "eleven trillion, two hundred forty-one billion, one hundred five million, three hundred fourteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 557 660 1114 1671 2228 2785 3342 5570 6127 6684 8355 11140 12254 16710 18381 24508 30635 33420 36762 61270 73524 91905 122540 183810 367620 30578057 61156114 91734171 122312228 152890285 183468342 305780570 336358627 366936684 458670855 611561140 672717254 917341710 1009075881 1345434508 1681793135 1834683420 2018151762 3363586270 4036303524 5045379405 6727172540 10090758810 17031977749 20181517620 34063955498 51095933247 68127910996 85159888745 102191866494 170319777490 187351755239 204383732988 255479666235 340639554980 374703510478 510959332470 562055265717 749407020956 936758776195 1021918664940 1124110531434 1873517552390 2248221062868 2810276328585 3747035104780 5620552657170 11241105314340