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103011020 = 22572331991
BaseRepresentation
bin1100010001111…
…01001011001100
321011211111112222
412020331023030
5202332323040
614115514512
72360402450
oct610751314
9234744488
10103011020
1153168782
122a5b8a38
1318459188
14d976660
15909bbb5
hex623d2cc

103011020 has 48 divisors (see below), whose sum is σ = 257983488. Its totient is φ = 33781440.

The previous prime is 103011017. The next prime is 103011031. The reversal of 103011020 is 20110301.

It is a super-3 number, since 3×1030110203 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 103010989 and 103011007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12776 + ... + 19215.

It is an arithmetic number, because the mean of its divisors is an integer number (5374656).

Almost surely, 2103011020 is an apocalyptic number.

103011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103011020 is an abundant number, since it is smaller than the sum of its proper divisors (154972468).

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

103011020 is a wasteful number, since it uses less digits than its factorization.

103011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32030 (or 32028 counting only the distinct ones).

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

The square root of 103011020 is about 10149.4344670036. The cubic root of 103011020 is about 468.7715315739.

Adding to 103011020 its reverse (20110301), we get a palindrome (123121321).

The spelling of 103011020 in words is "one hundred three million, eleven thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 644 805 1610 3220 31991 63982 127964 159955 223937 319910 447874 639820 735793 895748 1119685 1471586 2239370 2943172 3678965 4478740 5150551 7357930 10301102 14715860 20602204 25752755 51505510 103011020