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114122430200 = 23525361917393
BaseRepresentation
bin110101001001000111…
…0100001011011111000
3101220120101111010111002
41222102032201123320
53332210320231300
6124232131424132
711150026436252
oct1522216413370
9356511433432
10114122430200
1144443155a19
121a14b455048
13a9b95b670c
1457488c6cd2
152e7dea35d5
hex1a923a16f8

114122430200 has 96 divisors (see below), whose sum is σ = 270793270800. Its totient is φ = 44712744960.

The previous prime is 114122430179. The next prime is 114122430217. The reversal of 114122430200 is 2034221411.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 6552704 + ... + 6570096.

Almost surely, 2114122430200 is an apocalyptic number.

114122430200 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 114122430200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135396635400).

114122430200 is an abundant number, since it is smaller than the sum of its proper divisors (156670840600).

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

114122430200 is a wasteful number, since it uses less digits than its factorization.

114122430200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18081 (or 18072 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 114122430200 its reverse (2034221411), we get a palindrome (116156651611).

The spelling of 114122430200 in words is "one hundred fourteen billion, one hundred twenty-two million, four hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 200 212 265 424 530 619 1060 1238 1325 2120 2476 2650 3095 4952 5300 6190 10600 12380 15475 17393 24760 30950 32807 34786 61900 65614 69572 86965 123800 131228 139144 164035 173930 262456 328070 347860 434825 656140 695720 820175 869650 921829 1312280 1640350 1739300 1843658 3280700 3478600 3687316 4609145 6561400 7374632 9218290 10766267 18436580 21532534 23045725 36873160 43065068 46091450 53831335 86130136 92182900 107662670 184365800 215325340 269156675 430650680 538313350 570612151 1076626700 1141224302 2153253400 2282448604 2853060755 4564897208 5706121510 11412243020 14265303775 22824486040 28530607550 57061215100 114122430200