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1013352320 = 2751793139
BaseRepresentation
bin111100011001101…
…000011110000000
32121121210122001102
4330121220132000
54033404233240
6244315353532
734053231641
oct7431503600
92547718042
101013352320
11480013662
122434528a8
13131c33876
14988256c8
155de6c815
hex3c668780

1013352320 has 64 divisors (see below), whose sum is σ = 2565075600. Its totient is φ = 381493248.

The previous prime is 1013352283. The next prime is 1013352323. The reversal of 1013352320 is 232533101.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1013352292 and 1013352301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013352323) 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 7 ways as a sum of consecutive naturals, for example, 35690 + ... + 57449.

Almost surely, 21013352320 is an apocalyptic number.

1013352320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1013352320 is an abundant number, since it is smaller than the sum of its proper divisors (1551723280).

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

1013352320 is an equidigital number, since it uses as much as digits as its factorization.

1013352320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93175 (or 93163 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 1013352320 is about 31833.1952527546. The cubic root of 1013352320 is about 1004.4311095998.

Adding to 1013352320 its reverse (232533101), we get a palindrome (1245885421).

The spelling of 1013352320 in words is "one billion, thirteen million, three hundred fifty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 272 320 340 544 640 680 1088 1360 2176 2720 5440 10880 93139 186278 372556 465695 745112 931390 1490224 1583363 1862780 2980448 3166726 3725560 5960896 6333452 7451120 7916815 11921792 12666904 14902240 15833630 25333808 29804480 31667260 50667616 59608960 63334520 101335232 126669040 202670464 253338080 506676160 1013352320