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130114144100 = 22522375774731
BaseRepresentation
bin111100100101101101…
…0000100011101100100
3110102211212201100220002
41321023122010131210
54112433210102400
6135435033400432
712254230655663
oct1711332043544
9412755640802
10130114144100
11501aa0512a6
1221272b69118
13c36772b215
1464246dcdda
1535b7daded5
hex1e4b684764

130114144100 has 72 divisors (see below), whose sum is σ = 295016826048. Its totient is φ = 49716374400.

The previous prime is 130114144087. The next prime is 130114144159. The reversal of 130114144100 is 1441411031.

130114144100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

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, 1703735 + ... + 1778465.

Almost surely, 2130114144100 is an apocalyptic number.

130114144100 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 130114144100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147508413024).

130114144100 is an abundant number, since it is smaller than the sum of its proper divisors (164902681948).

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

130114144100 is a wasteful number, since it uses less digits than its factorization.

130114144100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75525 (or 75518 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 130114144100 its reverse (1441411031), we get a palindrome (131555555131).

The spelling of 130114144100 in words is "one hundred thirty billion, one hundred fourteen million, one hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 757 1150 1514 2300 3028 3785 7570 15140 17411 18925 34822 37850 69644 74731 75700 87055 149462 174110 298924 348220 373655 435275 747310 870550 1494620 1718813 1741100 1868275 3437626 3736550 6875252 7473100 8594065 17188130 34376260 42970325 56571367 85940650 113142734 171881300 226285468 282856835 565713670 1131427340 1301141441 1414284175 2602282882 2828568350 5204565764 5657136700 6505707205 13011414410 26022828820 32528536025 65057072050 130114144100