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1113210020 = 2251317324749
BaseRepresentation
bin100001001011010…
…0011110010100100
32212120200221001202
41002112203302210
54234440210040
6302243542032
736405062156
oct10226436244
92776627052
101113210020
1152141818a
1227098a918
13149827670
14a7bbaad6
1567ae5015
hex425a3ca4

1113210020 has 48 divisors (see below), whose sum is σ = 2532222000. Its totient is φ = 408638976.

The previous prime is 1113210017. The next prime is 1113210023. The reversal of 1113210020 is 200123111.

It is an interprime number because it is at equal distance from previous prime (1113210017) and next prime (1113210023).

It can be written as a sum of positive squares in 8 ways, for example, as 99042304 + 1014167716 = 9952^2 + 31846^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1113209983 and 1113210010.

It is not an unprimeable number, because it can be changed into a prime (1113210023) by changing a digit.

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, 32606 + ... + 57354.

It is an arithmetic number, because the mean of its divisors is an integer number (52754625).

Almost surely, 21113210020 is an apocalyptic number.

1113210020 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 1113210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266111000).

1113210020 is an abundant number, since it is smaller than the sum of its proper divisors (1419011980).

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

1113210020 is a wasteful number, since it uses less digits than its factorization.

1113210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24944 (or 24942 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 1113210020 is about 33364.8021124058. The cubic root of 1113210020 is about 1036.3959382146.

Adding to 1113210020 its reverse (200123111), we get a palindrome (1313333131).

The spelling of 1113210020 in words is "one billion, one hundred thirteen million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 173 260 346 692 865 1730 2249 3460 4498 8996 11245 22490 24749 44980 49498 98996 123745 247490 321737 494980 643474 1286948 1608685 3217370 4281577 6434740 8563154 17126308 21407885 42815770 55660501 85631540 111321002 222642004 278302505 556605010 1113210020