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1030140120 = 2335139151409
BaseRepresentation
bin111101011001101…
…011000011011000
32122210101112120210
4331121223003120
54102203440440
6250115251120
734346021652
oct7531530330
92583345523
101030140120
1148953a579
12248ba9aa0
13135560b89
149ab556d2
1560686a80
hex3d66b0d8

1030140120 has 128 divisors (see below), whose sum is σ = 3140928000. Its totient is φ = 270259200.

The previous prime is 1030140103. The next prime is 1030140131. The reversal of 1030140120 is 210410301.

It is a happy number.

It is a super-2 number, since 2×10301401202 = 2122377333667228800, which contains 22 as substring.

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 = 1030140096 and 1030140105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2518476 + ... + 2518884.

It is an arithmetic number, because the mean of its divisors is an integer number (24538500).

Almost surely, 21030140120 is an apocalyptic number.

1030140120 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 1030140120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1570464000).

1030140120 is an abundant number, since it is smaller than the sum of its proper divisors (2110787880).

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

1030140120 is a wasteful number, since it uses less digits than its factorization.

1030140120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 709 counting only the distinct ones).

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

The square root of 1030140120 is about 32095.7959863905. The cubic root of 1030140120 is about 1009.9474272540.

Adding to 1030140120 its reverse (210410301), we get a palindrome (1240550421).

The spelling of 1030140120 in words is "one billion, thirty million, one hundred forty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 139 151 278 302 409 417 453 556 604 695 755 818 834 906 1112 1208 1227 1390 1510 1636 1668 1812 2045 2085 2265 2454 2780 3020 3272 3336 3624 4090 4170 4530 4908 5560 6040 6135 8180 8340 9060 9816 12270 16360 16680 18120 20989 24540 41978 49080 56851 61759 62967 83956 104945 113702 123518 125934 167912 170553 185277 209890 227404 247036 251868 284255 308795 314835 341106 370554 419780 454808 494072 503736 568510 617590 629670 682212 741108 839560 852765 926385 1137020 1235180 1259340 1364424 1482216 1705530 1852770 2274040 2470360 2518680 3411060 3705540 6822120 7411080 8584501 17169002 25753503 34338004 42922505 51507006 68676008 85845010 103014012 128767515 171690020 206028024 257535030 343380040 515070060 1030140120