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130150032100 = 225211237328837
BaseRepresentation
bin111100100110110001…
…0111110001011100100
3110102221101020122222021
41321031202332023210
54113021402011400
6135442354512524
712255145006504
oct1711542761344
9412841218867
10130150032100
1150218333500
1221282b95744
13c371cb521a
1464293a1a04
1535bb0ec71a
hex1e4d8be2e4

130150032100 has 108 divisors (see below), whose sum is σ = 311277775732. Its totient is φ = 47198764800.

The previous prime is 130150032059. The next prime is 130150032101. The reversal of 130150032100 is 1230051031.

It can be written as a sum of positive squares in 6 ways, for example, as 338265664 + 129811766436 = 18392^2 + 360294^2 .

It is not an unprimeable number, because it can be changed into a prime (130150032101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4498882 + ... + 4527718.

Almost surely, 2130150032100 is an apocalyptic number.

130150032100 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 130150032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155638887866).

130150032100 is an abundant number, since it is smaller than the sum of its proper divisors (181127743632).

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

130150032100 is a wasteful number, since it uses less digits than its factorization.

130150032100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29246 (or 29228 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

Adding to 130150032100 its reverse (1230051031), we get a palindrome (131380083131).

The spelling of 130150032100 in words is "one hundred thirty billion, one hundred fifty million, thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 373 484 550 605 746 1100 1210 1492 1865 2420 3025 3730 4103 6050 7460 8206 9325 12100 16412 18650 20515 28837 37300 41030 45133 57674 82060 90266 102575 115348 144185 180532 205150 225665 288370 317207 410300 451330 576740 634414 720925 902660 1128325 1268828 1441850 1586035 2256650 2883700 3172070 3489277 4513300 6344140 6978554 7930175 10756201 13957108 15860350 17446385 21512402 31720700 34892770 43024804 53781005 69785540 87231925 107562010 118318211 174463850 215124020 236636422 268905025 348927700 473272844 537810050 591591055 1075620100 1183182110 1301500321 2366364220 2603000642 2957955275 5206001284 5915910550 6507501605 11831821100 13015003210 26030006420 32537508025 65075016050 130150032100