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11141213400 = 2332526189563
BaseRepresentation
bin10100110000001000…
…10110110011011000
31001202110011021121100
422120010112303120
5140304122312100
65041310511400
7543042515502
oct123004266330
931673137540
1011141213400
1147a7a19589
1221ab205560
13108726b085
1477994cd72
15453185400
hex298116cd8

11141213400 has 72 divisors (see below), whose sum is σ = 37415914380. Its totient is φ = 2970989760.

The previous prime is 11141213339. The next prime is 11141213401. The reversal of 11141213400 is 431214111.

11141213400 is a `hidden beast` number, since 1 + 11 + 41 + 213 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11141213401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3092982 + ... + 3096581.

Almost surely, 211141213400 is an apocalyptic number.

11141213400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11141213400 is an abundant number, since it is smaller than the sum of its proper divisors (26274700980).

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

11141213400 is a wasteful number, since it uses less digits than its factorization.

11141213400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6189585 (or 6189573 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11141213400 its reverse (431214111), we get a palindrome (11572427511).

The spelling of 11141213400 in words is "eleven billion, one hundred forty-one million, two hundred thirteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 6189563 12379126 18568689 24758252 30947815 37137378 49516504 55706067 61895630 74274756 92843445 111412134 123791260 148549512 154739075 185686890 222824268 247582520 278530335 309478150 371373780 445648536 464217225 557060670 618956300 742747560 928434450 1114121340 1237912600 1392651675 1856868900 2228242680 2785303350 3713737800 5570606700 11141213400