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114001122000 = 2435319000187
BaseRepresentation
bin110101000101011111…
…1110001001011010000
3101220020221020000220210
41222022333301023100
53331433241401000
6124212115404120
711144024356113
oct1521277611320
9356227200823
10114001122000
1144390730307
121a1168b3640
13a99a42220c
14573674a57a
152e734e0350
hex1a8aff12d0

114001122000 has 80 divisors (see below), whose sum is σ = 367539636672. Its totient is φ = 30400297600.

The previous prime is 114001121963. The next prime is 114001122043. The reversal of 114001122000 is 221100411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 9494094 + ... + 9506093.

Almost surely, 2114001122000 is an apocalyptic number.

114001122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114001122000 is an abundant number, since it is smaller than the sum of its proper divisors (253538514672).

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

114001122000 is a wasteful number, since it uses less digits than its factorization.

114001122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19000213 (or 19000197 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 114001122000 its reverse (221100411), we get a palindrome (114222222411).

The spelling of 114001122000 in words is "one hundred fourteen billion, one million, one hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 19000187 38000374 57000561 76000748 95000935 114001122 152001496 190001870 228002244 285002805 304002992 380003740 456004488 475004675 570005610 760007480 912008976 950009350 1140011220 1425014025 1520014960 1900018700 2280022440 2375023375 2850028050 3800037400 4560044880 4750046750 5700056100 7125070125 7600074800 9500093500 11400112200 14250140250 19000187000 22800224400 28500280500 38000374000 57000561000 114001122000