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11046000052120 = 23511226391108907
BaseRepresentation
bin1010000010111101100011…
…1010001100011110011000
31110002222122201212102222111
42200233120322030132120
52421434202003131440
635254243512202104
72220022115160415
oct240573072143630
943088581772874
1011046000052120
113579645073a10
1212a4957099334
1362183058ccc7
142a28b496710c
151424e9cd94ea
hexa0bd8e8c798

11046000052120 has 64 divisors (see below), whose sum is σ = 27114131289600. Its totient is φ = 4016546244480.

The previous prime is 11046000052117. The next prime is 11046000052123. The reversal of 11046000052120 is 2125000064011.

It is an interprime number because it is at equal distance from previous prime (11046000052117) and next prime (11046000052123).

It is a super-3 number, since 3×110460000521203 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 11046000052091 and 11046000052100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11046000052123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9406707 + ... + 10515613.

It is an arithmetic number, because the mean of its divisors is an integer number (423658301400).

Almost surely, 211046000052120 is an apocalyptic number.

11046000052120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11046000052120 is an abundant number, since it is smaller than the sum of its proper divisors (16068131237480).

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

11046000052120 is a wasteful number, since it uses less digits than its factorization.

11046000052120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131568 (or 1131564 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The spelling of 11046000052120 in words is "eleven trillion, forty-six billion, fifty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 22639 45278 90556 113195 181112 226390 249029 452780 498058 905560 996116 1108907 1245145 1992232 2217814 2490290 4435628 4980580 5544535 8871256 9961160 11089070 12197977 22178140 24395954 44356280 48791908 60989885 97583816 121979770 243959540 487919080 25104545573 50209091146 100418182292 125522727865 200836364584 251045455730 276150001303 502090911460 552300002606 1004181822920 1104600005212 1380750006515 2209200010424 2761500013030 5523000026060 11046000052120