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130214123100 = 223352172198783
BaseRepresentation
bin111100101000101011…
…1011101011001011100
3110110002211211211022000
41321101113131121130
54113134303414400
6135453004322300
712256553532645
oct1712127353134
9413084754260
10130214123100
1150250528a76
12212a0543390
13c3823652a9
146433ac66cc
1535c1a5c600
hex1e515dd65c

130214123100 has 432 divisors, whose sum is σ = 468145036800. Its totient is φ = 30957603840.

The previous prime is 130214123093. The next prime is 130214123101. The reversal of 130214123100 is 1321412031.

130214123100 is a `hidden beast` number, since 130 + 21 + 412 + 3 + 100 = 666.

It is a super-2 number, since 2×1302141231002 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130214123101) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14821309 + ... + 14830091.

Almost surely, 2130214123100 is an apocalyptic number.

130214123100 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 130214123100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234072518400).

130214123100 is an abundant number, since it is smaller than the sum of its proper divisors (337930913700).

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

130214123100 is a wasteful number, since it uses less digits than its factorization.

130214123100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8859 (or 8829 counting only the distinct ones).

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

Adding to 130214123100 its reverse (1321412031), we get a palindrome (131535535131).

The spelling of 130214123100 in words is "one hundred thirty billion, two hundred fourteen million, one hundred twenty-three thousand, one hundred".