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1013103030 = 235411994139
BaseRepresentation
bin111100011000101…
…011100110110110
32121121022222002110
4330120223212312
54033323244110
6244310151450
734051143102
oct7430534666
92547288073
101013103030
1147a963335
12243352586
13131b77264
149879c902
155de1da20
hex3c62b9b6

1013103030 has 64 divisors (see below), whose sum is σ = 2503872000. Its totient is φ = 262183680.

The previous prime is 1013103019. The next prime is 1013103037. The reversal of 1013103030 is 303013101.

It is a junction number, because it is equal to n+sod(n) for n = 1013102997 and 1013103015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013103037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 242701 + ... + 246839.

It is an arithmetic number, because the mean of its divisors is an integer number (39123000).

Almost surely, 21013103030 is an apocalyptic number.

1013103030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013103030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251936000).

1013103030 is an abundant number, since it is smaller than the sum of its proper divisors (1490768970).

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

1013103030 is a wasteful number, since it uses less digits than its factorization.

1013103030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4389.

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 1013103030 is about 31829.2794451901. The cubic root of 1013103030 is about 1004.3487377330.

Adding to 1013103030 its reverse (303013101), we get a palindrome (1316116131).

The spelling of 1013103030 in words is "one billion, thirteen million, one hundred three thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 199 205 246 398 410 597 615 995 1194 1230 1990 2985 4139 5970 8159 8278 12417 16318 20695 24477 24834 40795 41390 48954 62085 81590 122385 124170 169699 244770 339398 509097 823661 848495 1018194 1647322 1696990 2470983 2545485 4118305 4941966 5090970 8236610 12354915 24709830 33770101 67540202 101310303 168850505 202620606 337701010 506551515 1013103030