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130132121130 = 233511231905023
BaseRepresentation
bin111100100110001111…
…0101001011000101010
3110102220010112200202000
41321030132221120222
54113002310334010
6135440514551430
712254536531104
oct1711436513052
9412803480660
10130132121130
115020920a750
1221278b98576
13c36b38390b
146426c5c574
1535b97607c0
hex1e4c7a962a

130132121130 has 128 divisors (see below), whose sum is σ = 395025776640. Its totient is φ = 30175548480.

The previous prime is 130132121113. The next prime is 130132121131. The reversal of 130132121130 is 31121231031.

130132121130 is a `hidden beast` number, since 1 + 301 + 321 + 2 + 11 + 30 = 666.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (130132121131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 884202 + ... + 1020821.

It is an arithmetic number, because the mean of its divisors is an integer number (3086138880).

Almost surely, 2130132121130 is an apocalyptic number.

130132121130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

130132121130 is an abundant number, since it is smaller than the sum of its proper divisors (264893655510).

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

130132121130 is a wasteful number, since it uses less digits than its factorization.

130132121130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1905073 (or 1905067 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 130132121130 its reverse (31121231031), we get a palindrome (161253352161).

The spelling of 130132121130 in words is "one hundred thirty billion, one hundred thirty-two million, one hundred twenty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 23 27 30 33 45 46 54 55 66 69 90 99 110 115 135 138 165 198 207 230 253 270 297 330 345 414 495 506 594 621 690 759 990 1035 1242 1265 1485 1518 2070 2277 2530 2970 3105 3795 4554 6210 6831 7590 11385 13662 22770 34155 68310 1905023 3810046 5715069 9525115 11430138 17145207 19050230 20955253 28575345 34290414 41910506 43815529 51435621 57150690 62865759 85726035 87631058 102871242 104776265 125731518 131446587 171452070 188597277 209552530 219077645 257178105 262893174 314328795 377194554 394339761 438155290 481970819 514356210 565791831 628657590 657232935 788679522 942986385 963941638 1131583662 1183019283 1314465870 1445912457 1885972770 1971698805 2366038566 2409854095 2828959155 2891824914 3943397610 4337737371 4819708190 5657918310 5915096415 7229562285 8675474742 11830192830 13013212113 14459124570 21688686855 26026424226 43377373710 65066060565 130132121130