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1013200320 = 26351195947
BaseRepresentation
bin111100011001000…
…011010111000000
32121121111220112210
4330121003113000
54033334402240
6244312222120
734052026536
oct7431032700
92547456483
101013200320
1147aa1a440
1224339a940
13131bac622
14987c6156
155de3c780
hex3c6435c0

1013200320 has 112 divisors (see below), whose sum is σ = 3509394048. Its totient is φ = 245621760.

The previous prime is 1013200319. The next prime is 1013200343. The reversal of 1013200320 is 230023101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1013200296 and 1013200305.

It is a congruent number.

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, 37414 + ... + 58533.

Almost surely, 21013200320 is an apocalyptic number.

1013200320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1013200320 is an abundant number, since it is smaller than the sum of its proper divisors (2496193728).

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

1013200320 is a wasteful number, since it uses less digits than its factorization.

1013200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95978 (or 95968 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1013200320 is about 31830.8077183096. The cubic root of 1013200320 is about 1004.3808864741.

Adding to 1013200320 its reverse (230023101), we get a palindrome (1243223421).

The spelling of 1013200320 in words is "one billion, thirteen million, two hundred thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2112 2640 3520 5280 10560 95947 191894 287841 383788 479735 575682 767576 959470 1055417 1151364 1439205 1535152 1918940 2110834 2302728 2878410 3070304 3166251 3837880 4221668 4605456 5277085 5756820 6140608 6332502 7675760 8443336 9210912 10554170 11513640 12665004 15351520 15831255 16886672 18421824 21108340 23027280 25330008 30703040 31662510 33773344 42216680 46054560 50660016 63325020 67546688 84433360 92109120 101320032 126650040 168866720 202640064 253300080 337733440 506600160 1013200320