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130220032441240 = 23571946735238059
BaseRepresentation
bin11101100110111100110110…
…110001101011101110011000
3122002001220122221212102112101
4131212330312301223232120
5114032011111301104430
61140542131304453144
736300041540456320
oct3546746661535630
9562056587772471
10130220032441240
1138546007535a95
121273162147a1b4
135787908bca191
14242297c9ac280
15100c4c6545dca
hex766f36c6bb98

130220032441240 has 128 divisors (see below), whose sum is σ = 352550771136000. Its totient is φ = 42287973654528.

The previous prime is 130220032441237. The next prime is 130220032441241. The reversal of 130220032441240 is 42144230022031.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 130220032441199 and 130220032441208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130220032441241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22241331 + ... + 27479389.

It is an arithmetic number, because the mean of its divisors is an integer number (2754302899500).

Almost surely, 2130220032441240 is an apocalyptic number.

130220032441240 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 130220032441240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176275385568000).

130220032441240 is an abundant number, since it is smaller than the sum of its proper divisors (222330738694760).

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

130220032441240 is a wasteful number, since it uses less digits than its factorization.

130220032441240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5242769 (or 5242765 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 130220032441240 its reverse (42144230022031), we get a palindrome (172364262463271).

The spelling of 130220032441240 in words is "one hundred thirty trillion, two hundred twenty billion, thirty-two million, four hundred forty-one thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 380 532 665 760 1064 1330 2660 4673 5320 9346 18692 23365 32711 37384 46730 65422 88787 93460 130844 163555 177574 186920 261688 327110 355148 443935 621509 654220 710296 887870 1243018 1308440 1775740 2486036 3107545 3551480 4972072 5238059 6215090 10476118 12430180 20952236 24860360 26190295 36666413 41904472 52380590 73332826 99523121 104761180 146665652 183332065 199046242 209522360 293331304 366664130 398092484 497615605 696661847 733328260 796184968 995231210 1393323694 1466656520 1990462420 2786647388 3483309235 3980924840 5573294776 6966618470 13933236940 24477449707 27866473880 48954899414 97909798828 122387248535 171342147949 195819597656 244774497070 342684295898 465071544433 489548994140 685368591796 856710739745 930143088866 979097988280 1370737183592 1713421479490 1860286177732 2325357722165 3255500811031 3426842958980 3720572355464 4650715444330 6511001622062 6853685917960 9301430888660 13022003244124 16277504055155 18602861777320 26044006488248 32555008110310 65110016220620 130220032441240