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103031300 = 225219211257
BaseRepresentation
bin1100010010000…
…10001000000100
321011212112101002
412021002020010
5202334000200
614120152432
72360515541
oct611021004
9234775332
10103031300
1153181a39
122a608718
1318465488
14d97dbc8
1590a2bd5
hex6242204

103031300 has 72 divisors (see below), whose sum is σ = 237380640. Its totient is φ = 38707200.

The previous prime is 103031249. The next prime is 103031317. The reversal of 103031300 is 3130301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 400772 + ... + 401028.

Almost surely, 2103031300 is an apocalyptic number.

103031300 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 103031300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118690320).

103031300 is an abundant number, since it is smaller than the sum of its proper divisors (134349340).

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

103031300 is a wasteful number, since it uses less digits than its factorization.

103031300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 11.

The square root of 103031300 is about 10150.4334882802. The cubic root of 103031300 is about 468.8022922403.

Adding to 103031300 its reverse (3130301), we get a palindrome (106161601).

Subtracting from 103031300 its reverse (3130301), we obtain a palindrome (99900999).

The spelling of 103031300 in words is "one hundred three million, thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 211 257 380 422 475 514 844 950 1028 1055 1285 1900 2110 2570 4009 4220 4883 5140 5275 6425 8018 9766 10550 12850 16036 19532 20045 21100 24415 25700 40090 48830 54227 80180 97660 100225 108454 122075 200450 216908 244150 271135 400900 488300 542270 1030313 1084540 1355675 2060626 2711350 4121252 5151565 5422700 10303130 20606260 25757825 51515650 103031300