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130233131100 = 223352281171653
BaseRepresentation
bin111100101001001111…
…1111110000001011100
3110110011011121112101000
41321102133332001130
54113204140143400
6135454523550300
712260204230602
oct1712237760134
9413134545330
10130233131100
1150260230a66
12212a698b390
13c38628c027
146436433872
1535c3564600
hex1e527fe05c

130233131100 has 144 divisors (see below), whose sum is σ = 420167795040. Its totient is φ = 34605043200.

The previous prime is 130233131053. The next prime is 130233131131. The reversal of 130233131100 is 1131332031.

It is a happy number.

130233131100 is a `hidden beast` number, since 1 + 302 + 331 + 31 + 1 + 0 + 0 = 666.

It is a super-2 number, since 2×1302331311002 (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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 672874 + ... + 844526.

It is an arithmetic number, because the mean of its divisors is an integer number (2917831910).

Almost surely, 2130233131100 is an apocalyptic number.

130233131100 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 130233131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210083897520).

130233131100 is an abundant number, since it is smaller than the sum of its proper divisors (289934663940).

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

130233131100 is a wasteful number, since it uses less digits than its factorization.

130233131100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171957 (or 171944 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 130233131100 its reverse (1131332031), we get a palindrome (131364463131).

The spelling of 130233131100 in words is "one hundred thirty billion, two hundred thirty-three million, one hundred thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 281 300 450 540 562 675 843 900 1124 1350 1405 1686 2529 2700 2810 3372 4215 5058 5620 7025 7587 8430 10116 12645 14050 15174 16860 21075 25290 28100 30348 37935 42150 50580 63225 75870 84300 126450 151740 171653 189675 252900 343306 379350 514959 686612 758700 858265 1029918 1544877 1716530 2059836 2574795 3089754 3433060 4291325 4634631 5149590 6179508 7724385 8582650 9269262 10299180 12873975 15448770 17165300 18538524 23173155 25747950 30897540 38621925 46346310 48234493 51495900 77243850 92692620 96468986 115865775 144703479 154487700 192937972 231731550 241172465 289406958 434110437 463463100 482344930 578813916 723517395 868220874 964689860 1205862325 1302331311 1447034790 1736441748 2170552185 2411724650 2604662622 2894069580 3617586975 4341104370 4823449300 5209325244 6511656555 7235173950 8682208740 10852760925 13023313110 14470347900 21705521850 26046626220 32558282775 43411043700 65116565550 130233131100