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1030011020 = 225417317207
BaseRepresentation
bin111101011001001…
…011100010001100
32122210010222111022
4331121023202030
54102140323040
6250112413312
734344643403
oct7531134214
92583128438
101030011020
11489461585
12248b47238
1313551719c
149ab2063a
156065d6b5
hex3d64b88c

1030011020 has 48 divisors (see below), whose sum is σ = 2246263488. Its totient is φ = 396426240.

The previous prime is 1030010999. The next prime is 1030011041. The reversal of 1030011020 is 201100301.

1030011020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1030010999) and next prime (1030011041).

It is a junction number, because it is equal to n+sod(n) for n = 1030010989 and 1030011007.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51257 + ... + 68463.

It is an arithmetic number, because the mean of its divisors is an integer number (46797156).

Almost surely, 21030011020 is an apocalyptic number.

1030011020 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 1030011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123131744).

1030011020 is an abundant number, since it is smaller than the sum of its proper divisors (1216252468).

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

1030011020 is a wasteful number, since it uses less digits than its factorization.

1030011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17330 (or 17328 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 1030011020 is about 32093.7847565537. The cubic root of 1030011020 is about 1009.9052356928.

Adding to 1030011020 its reverse (201100301), we get a palindrome (1231111321).

The spelling of 1030011020 in words is "one billion, thirty million, eleven thousand, twenty".

Divisors: 1 2 4 5 10 20 41 73 82 146 164 205 292 365 410 730 820 1460 2993 5986 11972 14965 17207 29930 34414 59860 68828 86035 172070 344140 705487 1256111 1410974 2512222 2821948 3527435 5024444 6280555 7054870 12561110 14109740 25122220 51500551 103001102 206002204 257502755 515005510 1030011020