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11127042240 = 263511590669
BaseRepresentation
bin10100101110011100…
…10011000011000000
31001201110111022102120
422113032103003000
5140242010322430
65040043044240
7542511204246
oct122716230300
931643438376
1011127042240
11479aa1a586
1221a6510680
131084348a82
14777b00796
15451cd6610
hex2973930c0

11127042240 has 56 divisors (see below), whose sum is σ = 35328362160. Its totient is φ = 2967211008.

The previous prime is 11127042233. The next prime is 11127042247. The reversal of 11127042240 is 4224072111.

It is an interprime number because it is at equal distance from previous prime (11127042233) and next prime (11127042247).

It is a super-2 number, since 2×111270422402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11127042240.

It is not an unprimeable number, because it can be changed into a prime (11127042247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5794375 + ... + 5796294.

It is an arithmetic number, because the mean of its divisors is an integer number (630863610).

Almost surely, 211127042240 is an apocalyptic number.

11127042240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11127042240 is an abundant number, since it is smaller than the sum of its proper divisors (24201319920).

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

11127042240 is a wasteful number, since it uses less digits than its factorization.

11127042240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11590689 (or 11590679 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The spelling of 11127042240 in words is "eleven billion, one hundred twenty-seven million, forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 11590669 23181338 34772007 46362676 57953345 69544014 92725352 115906690 139088028 173860035 185450704 231813380 278176056 347720070 370901408 463626760 556352112 695440140 741802816 927253520 1112704224 1390880280 1854507040 2225408448 2781760560 3709014080 5563521120 11127042240