Search a number
-
+
11301010113000 = 233534191878131
BaseRepresentation
bin1010010001110011100010…
…1100011000000111101000
31111000100212211021202121010
42210130320230120013220
52440123432042104000
640011340134543520
72244320365006566
oct244347054300750
944010784252533
1011301010113000
113667805657043
121326265507ba0
1363c8b05c0c5a
142b0d868d8a36
15148e72895d50
hexa4738b181e8

11301010113000 has 128 divisors (see below), whose sum is σ = 36119131251840. Its totient is φ = 2940100160000.

The previous prime is 11301010112999. The next prime is 11301010113059. The reversal of 11301010113000 is 31101010311.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 45816066 + ... + 46062065.

It is an arithmetic number, because the mean of its divisors is an integer number (282180712905).

Almost surely, 211301010113000 is an apocalyptic number.

11301010113000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11301010113000 is an abundant number, since it is smaller than the sum of its proper divisors (24818121138840).

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

11301010113000 is a wasteful number, since it uses less digits than its factorization.

11301010113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91878196 (or 91878182 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 11301010113000 its reverse (31101010311), we get a palindrome (11332111123311).

The spelling of 11301010113000 in words is "eleven trillion, three hundred one billion, ten million, one hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 41 50 60 75 82 100 120 123 125 150 164 200 205 246 250 300 328 375 410 492 500 600 615 750 820 984 1000 1025 1230 1500 1640 2050 2460 3000 3075 4100 4920 5125 6150 8200 10250 12300 15375 20500 24600 30750 41000 61500 123000 91878131 183756262 275634393 367512524 459390655 551268786 735025048 918781310 1102537572 1378171965 1837562620 2205075144 2296953275 2756343930 3675125240 3767003371 4593906550 5512687860 6890859825 7534006742 9187813100 11025375720 11301010113 11484766375 13781719650 15068013484 18375626200 18835016855 22602020226 22969532750 27563439300 30136026968 34454299125 37670033710 45204040452 45939065500 55126878600 56505050565 68908598250 75340067420 90408080904 91878131000 94175084275 113010101130 137817196500 150680134840 188350168550 226020202260 275634393000 282525252825 376700337100 452040404520 470875421375 565050505650 753400674200 941750842750 1130101011300 1412626264125 1883501685500 2260202022600 2825252528250 3767003371000 5650505056500 11301010113000