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130214100 = 223523711731
BaseRepresentation
bin1111100001011…
…10100011010100
3100002000120011110
413300232203110
5231313322400
620530535020
73140541642
oct760564324
9302016143
10130214100
1167558865
1237737470
1320c92083
1413418192
15b671e50
hex7c2e8d4

130214100 has 72 divisors (see below), whose sum is σ = 386968288. Its totient is φ = 33782400.

The previous prime is 130214093. The next prime is 130214107. The reversal of 130214100 is 1412031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (130214093) and next prime (130214107).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130214107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5235 + ... + 16965.

Almost surely, 2130214100 is an apocalyptic number.

130214100 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 130214100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193484144).

130214100 is an abundant number, since it is smaller than the sum of its proper divisors (256754188).

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

130214100 is a wasteful number, since it uses less digits than its factorization.

130214100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11785 (or 11778 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 130214100 is about 11411.1392945665. The cubic root of 130214100 is about 506.8576486474.

Adding to 130214100 its reverse (1412031), we get a palindrome (131626131).

The spelling of 130214100 in words is "one hundred thirty million, two hundred fourteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1850 2220 2775 3700 5550 11100 11731 23462 35193 46924 58655 70386 117310 140772 175965 234620 293275 351930 434047 586550 703860 868094 879825 1173100 1302141 1736188 1759650 2170235 2604282 3519300 4340470 5208564 6510705 8680940 10851175 13021410 21702350 26042820 32553525 43404700 65107050 130214100