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1030120030100 = 225278357131051
BaseRepresentation
bin11101111110101111111…
…00000011111110010100
310122110220211120111012102
432333113330003332110
5113334141211430400
62105121451141232
7134265222532610
oct16772774037624
93573824514172
101030120030100
113679649a1357
12147789144818
13761a8498465
1437c027b8340
151bbe0b9e9d5
hexefd7f03f94

1030120030100 has 144 divisors (see below), whose sum is σ = 2590088557056. Its totient is φ = 348306480000.

The previous prime is 1030120030087. The next prime is 1030120030109. The reversal of 1030120030100 is 10300210301.

It is a super-2 number, since 2×10301200301002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030120030109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33159575 + ... + 33190625.

Almost surely, 21030120030100 is an apocalyptic number.

1030120030100 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 1030120030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295044278528).

1030120030100 is an abundant number, since it is smaller than the sum of its proper divisors (1559968526956).

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

1030120030100 is a wasteful number, since it uses less digits than its factorization.

1030120030100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31726 (or 31719 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 1030120030100 its reverse (10300210301), we get a palindrome (1040420240401).

The spelling of 1030120030100 in words is "one trillion, thirty billion, one hundred twenty million, thirty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 83 100 140 166 175 332 350 415 571 581 700 830 1142 1162 1660 2075 2284 2324 2855 2905 3997 4150 5710 5810 7994 8300 11420 11620 14275 14525 15988 19985 28550 29050 31051 39970 47393 57100 58100 62102 79940 94786 99925 124204 155255 189572 199850 217357 236965 310510 331751 399700 434714 473930 621020 663502 776275 869428 947860 1086785 1184825 1327004 1552550 1658755 2173570 2369650 2577233 3105100 3317510 4347140 4739300 5154466 5433925 6635020 8293775 10308932 10867850 12886165 16587550 17730121 18040631 21735700 25772330 33175100 35460242 36081262 51544660 64430825 70920484 72162524 88650605 90203155 124110847 128861650 177301210 180406310 248221694 257723300 354602420 360812620 443253025 451015775 496443388 620554235 886506050 902031550 1241108470 1471600043 1773012100 1804063100 2482216940 2943200086 3102771175 5886400172 6205542350 7358000215 10301200301 12411084700 14716000430 20602400602 29432000860 36790001075 41204801204 51506001505 73580002150 103012003010 147160004300 206024006020 257530007525 515060015050 1030120030100