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103010320 = 2457296343
BaseRepresentation
bin1100010001111…
…01000000010000
321011211110121001
412020331000100
5202332312240
614115511344
72360400430
oct610750020
9234743531
10103010320
11531681a6
122a5b8554
1318458a6a
14d9762c0
15909b89a
hex623d010

103010320 has 80 divisors (see below), whose sum is σ = 283196160. Its totient is φ = 34094592.

The previous prime is 103010317. The next prime is 103010321. The reversal of 103010320 is 23010301.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1030103202 = 21222252053004800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 103010297 and 103010306.

It is not an unprimeable number, because it can be changed into a prime (103010321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13069 + ... + 19411.

It is an arithmetic number, because the mean of its divisors is an integer number (3539952).

Almost surely, 2103010320 is an apocalyptic number.

103010320 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 103010320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141598080).

103010320 is an abundant number, since it is smaller than the sum of its proper divisors (180185840).

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

103010320 is a wasteful number, since it uses less digits than its factorization.

103010320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6392 (or 6386 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 103010320 is about 10149.3999822650. The cubic root of 103010320 is about 468.7704697431.

Adding to 103010320 its reverse (23010301), we get a palindrome (126020621).

The spelling of 103010320 in words is "one hundred three million, ten thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 35 40 56 58 70 80 112 116 140 145 203 232 280 290 406 464 560 580 812 1015 1160 1624 2030 2320 3248 4060 6343 8120 12686 16240 25372 31715 44401 50744 63430 88802 101488 126860 177604 183947 222005 253720 355208 367894 444010 507440 710416 735788 888020 919735 1287629 1471576 1776040 1839470 2575258 2943152 3552080 3678940 5150516 6438145 7357880 10301032 12876290 14715760 20602064 25752580 51505160 103010320