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114154323100 = 225243251105767
BaseRepresentation
bin110101001010000100…
…0001011110010011100
3101220122121111110022121
41222110020023302130
53332242001314400
6124235231152324
711150564510416
oct1522410136234
9356577443277
10114154323100
114445a159594
121a15a0756a4
13a9c30a215c
14574cc299b6
152e81ba321a
hex1a9420bc9c

114154323100 has 72 divisors (see below), whose sum is σ = 254487961728. Its totient is φ = 44421720000.

The previous prime is 114154323053. The next prime is 114154323113. The reversal of 114154323100 is 1323451411.

It is a super-2 number, since 2×1141543231002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1026417 + ... + 1132183.

It is an arithmetic number, because the mean of its divisors is an integer number (3534555024).

Almost surely, 2114154323100 is an apocalyptic number.

114154323100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114154323100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127243980864).

114154323100 is an abundant number, since it is smaller than the sum of its proper divisors (140333638628).

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

114154323100 is a wasteful number, since it uses less digits than its factorization.

114154323100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106075 (or 106068 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 114154323100 its reverse (1323451411), we get a palindrome (115477774511).

The spelling of 114154323100 in words is "one hundred fourteen billion, one hundred fifty-four million, three hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 215 251 430 502 860 1004 1075 1255 2150 2510 4300 5020 6275 10793 12550 21586 25100 43172 53965 105767 107930 211534 215860 269825 423068 528835 539650 1057670 1079300 2115340 2644175 4547981 5288350 9095962 10576700 18191924 22739905 26547517 45479810 53095034 90959620 106190068 113699525 132737585 227399050 265475170 454798100 530950340 663687925 1141543231 1327375850 2283086462 2654751700 4566172924 5707716155 11415432310 22830864620 28538580775 57077161550 114154323100