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114063002100 = 223252196670351
BaseRepresentation
bin110101000111010101…
…1110100100111110100
3101220102020122212110100
41222032223310213310
53332100112031400
6124222205554100
711145405343425
oct1521653644764
9356366585410
10114063002100
1144412655793
121a133575930
13a9aa1a9b68
145740a5764c
152e78b65100
hex1a8eaf49f4

114063002100 has 108 divisors (see below), whose sum is σ = 376341259840. Its totient is φ = 28815912000.

The previous prime is 114063002077. The next prime is 114063002143. The reversal of 114063002100 is 1200360411.

It is a happy number.

114063002100 is a `hidden beast` number, since 1 + 14 + 0 + 630 + 0 + 21 + 0 + 0 = 666.

114063002100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3318076 + ... + 3352275.

Almost surely, 2114063002100 is an apocalyptic number.

114063002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114063002100 is an abundant number, since it is smaller than the sum of its proper divisors (262278257740).

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

114063002100 is a wasteful number, since it uses less digits than its factorization.

114063002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6670390 (or 6670380 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 114063002100 its reverse (1200360411), we get a palindrome (115263362511).

The spelling of 114063002100 in words is "one hundred fourteen billion, sixty-three million, two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 25 30 36 38 45 50 57 60 75 76 90 95 100 114 150 171 180 190 225 228 285 300 342 380 450 475 570 684 855 900 950 1140 1425 1710 1900 2850 3420 4275 5700 8550 17100 6670351 13340702 20011053 26681404 33351755 40022106 60033159 66703510 80044212 100055265 120066318 126736669 133407020 166758775 200110530 240132636 253473338 300165795 333517550 380210007 400221060 500276325 506946676 600331590 633683345 667035100 760420014 1000552650 1140630021 1200663180 1267366690 1500828975 1520840028 1901050035 2001105300 2281260042 2534733380 3001657950 3168416725 3802100070 4562520084 5703150105 6003315900 6336833450 7604200140 9505250175 11406300210 12673666900 19010500350 22812600420 28515750525 38021000700 57031501050 114063002100