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114123300 = 223521572423
BaseRepresentation
bin1101100110101…
…10001000100100
321221202001201220
412303112020210
5213203421200
615154020340
72554013664
oct663261044
9257661656
10114123300
1159468585
12322776b0
131a84a0a5
141122a1a4
15a0444a0
hex6cd6224

114123300 has 72 divisors (see below), whose sum is σ = 332437056. Its totient is φ = 30226560.

The previous prime is 114123299. The next prime is 114123337. The reversal of 114123300 is 3321411.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 114123300.

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, 45889 + ... + 48311.

Almost surely, 2114123300 is an apocalyptic number.

114123300 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 114123300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166218528).

114123300 is an abundant number, since it is smaller than the sum of its proper divisors (218313756).

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

114123300 is a wasteful number, since it uses less digits than its factorization.

114123300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2597 (or 2590 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 114123300 is about 10682.8507431303. The cubic root of 114123300 is about 485.0555078709.

Adding to 114123300 its reverse (3321411), we get a palindrome (117444711).

The spelling of 114123300 in words is "one hundred fourteen million, one hundred twenty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 157 300 314 471 628 785 942 1570 1884 2355 2423 3140 3925 4710 4846 7269 7850 9420 9692 11775 12115 14538 15700 23550 24230 29076 36345 47100 48460 60575 72690 121150 145380 181725 242300 363450 380411 726900 760822 1141233 1521644 1902055 2282466 3804110 4564932 5706165 7608220 9510275 11412330 19020550 22824660 28530825 38041100 57061650 114123300