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103631320 = 235131719617
BaseRepresentation
bin1100010110101…
…00100111011000
321020000000110001
412023110213120
5203012200240
614141102344
72365565062
oct613244730
9236000401
10103631320
1153551821
122a8579b4
1318615610
14da98732
15917089a
hex62d49d8

103631320 has 128 divisors (see below), whose sum is σ = 280324800. Its totient is φ = 34062336.

The previous prime is 103631309. The next prime is 103631327. The reversal of 103631320 is 23136301.

It is a super-3 number, since 3×1036313203 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103631327) 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 31 ways as a sum of consecutive naturals, for example, 167652 + ... + 168268.

Almost surely, 2103631320 is an apocalyptic number.

103631320 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 103631320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140162400).

103631320 is an abundant number, since it is smaller than the sum of its proper divisors (176693480).

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

103631320 is a wasteful number, since it uses less digits than its factorization.

103631320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 103631320 is about 10179.9469546752. The cubic root of 103631320 is about 469.7105808326.

Adding to 103631320 its reverse (23136301), we get a palindrome (126767621).

The spelling of 103631320 in words is "one hundred three million, six hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 17 19 20 26 34 38 40 52 65 68 76 85 95 104 130 136 152 170 190 221 247 260 323 340 380 442 494 520 617 646 680 760 884 988 1105 1234 1235 1292 1615 1768 1976 2210 2468 2470 2584 3085 3230 4199 4420 4936 4940 6170 6460 8021 8398 8840 9880 10489 11723 12340 12920 16042 16796 20978 20995 23446 24680 32084 33592 40105 41956 41990 46892 52445 58615 64168 80210 83912 83980 93784 104890 117230 136357 152399 160420 167960 199291 209780 234460 272714 304798 320840 398582 419560 468920 545428 609596 681785 761995 797164 996455 1090856 1219192 1363570 1523990 1594328 1992910 2590783 2727140 3047980 3985820 5181566 5454280 6095960 7971640 10363132 12953915 20726264 25907830 51815660 103631320