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130201020120 = 23355417012861
BaseRepresentation
bin111100101000010010…
…1011110011011011000
3110110001221012010101110
41321100211132123120
54113122430120440
6135451415420320
712256334260563
oct1712045363330
9413057163343
10130201020120
1150244099566
12212980846a0
13c37c728252
1464320754da
1535c0820080
hex1e5095e6d8

130201020120 has 128 divisors (see below), whose sum is σ = 392020274880. Its totient is φ = 34594560000.

The previous prime is 130201020107. The next prime is 130201020139. The reversal of 130201020120 is 21020102031.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 130201020096 and 130201020105.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 45507490 + ... + 45510350.

Almost surely, 2130201020120 is an apocalyptic number.

130201020120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130201020120 is an abundant number, since it is smaller than the sum of its proper divisors (261819254760).

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

130201020120 is a wasteful number, since it uses less digits than its factorization.

130201020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4117 (or 4113 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 130201020120 its reverse (21020102031), we get a palindrome (151221122151).

The spelling of 130201020120 in words is "one hundred thirty billion, two hundred one million, twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 541 701 1082 1402 1623 2103 2164 2705 2804 2861 3246 3505 4206 4328 5410 5608 5722 6492 7010 8115 8412 8583 10515 10820 11444 12984 14020 14305 16230 16824 17166 21030 21640 22888 28040 28610 32460 34332 42060 42915 57220 64920 68664 84120 85830 114440 171660 343320 379241 758482 1137723 1516964 1547801 1896205 2005561 2275446 3033928 3095602 3792410 4011122 4550892 4643403 5688615 6016683 6191204 7584820 7739005 8022244 9101784 9286806 10027805 11377230 12033366 12382408 15169640 15478010 16044488 18573612 20055610 22754460 23217015 24066732 30083415 30956020 37147224 40111220 45508920 46434030 48133464 60166830 61912040 80222440 92868060 120333660 185736120 240667320 1085008501 2170017002 3255025503 4340034004 5425042505 6510051006 8680068008 10850085010 13020102012 16275127515 21700170020 26040204024 32550255030 43400340040 65100510060 130201020120