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1013203212 = 22376722687
BaseRepresentation
bin111100011001000…
…100000100001100
32121121112001111220
4330121010010030
54033340000322
6244312243340
734052041140
oct7431040414
92547461456
101013203212
1147aa2162a
122433a0550
13131bb0a38
14987c7220
155de3d55c
hex3c64410c

1013203212 has 72 divisors (see below), whose sum is σ = 2743824384. Its totient is φ = 285059808.

The previous prime is 1013203211. The next prime is 1013203231. The reversal of 1013203212 is 2123023101.

It is a junction number, because it is equal to n+sod(n) for n = 1013203191 and 1013203200.

It is not an unprimeable number, because it can be changed into a prime (1013203211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 375733 + ... + 378419.

It is an arithmetic number, because the mean of its divisors is an integer number (38108672).

Almost surely, 21013203212 is an apocalyptic number.

1013203212 is a gapful number since it is divisible by the number (12) 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 1013203212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371912192).

1013203212 is an abundant number, since it is smaller than the sum of its proper divisors (1730621172).

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

1013203212 is a wasteful number, since it uses less digits than its factorization.

1013203212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2835 (or 2766 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1013203212 is about 31830.8531459652. The cubic root of 1013203212 is about 1004.3818420821.

Adding to 1013203212 its reverse (2123023101), we get a palindrome (3136226313).

The spelling of 1013203212 in words is "one billion, thirteen million, two hundred three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 67 84 134 201 268 402 469 804 938 1407 1876 2687 2814 4489 5374 5628 8061 8978 10748 13467 16122 17956 18809 26934 31423 32244 37618 53868 56427 62846 75236 94269 112854 125692 180029 188538 225708 360058 377076 540087 720116 1080174 1260203 2160348 2520406 3780609 5040812 7561218 12061943 15122436 24123886 36185829 48247772 72371658 84433601 144743316 168867202 253300803 337734404 506601606 1013203212