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100030320 = 243251310687
BaseRepresentation
bin1011111011001…
…01011101110000
320222020001210200
411331211131300
5201101432240
613531555200
72323146405
oct575453560
9228201720
10100030320
1151512295
12295bbb00
1317954550
14d3dc2ac
158bad930
hex5f65770

100030320 has 120 divisors (see below), whose sum is σ = 361810176. Its totient is φ = 24620544.

The previous prime is 100030319. The next prime is 100030321. The reversal of 100030320 is 23030001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100030319) and next prime (100030321).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100030321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4017 + ... + 14703.

Almost surely, 2100030320 is an apocalyptic number.

100030320 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 100030320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180905088).

100030320 is an abundant number, since it is smaller than the sum of its proper divisors (261779856).

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

100030320 is a wasteful number, since it uses less digits than its factorization.

100030320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10719 (or 10710 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 100030320 is about 10001.5158851046. The cubic root of 100030320 is about 464.2057896121.

Adding to 100030320 its reverse (23030001), we get a palindrome (123060321).

The spelling of 100030320 in words is "one hundred million, thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1560 1872 2340 3120 4680 9360 10687 21374 32061 42748 53435 64122 85496 96183 106870 128244 138931 160305 170992 192366 213740 256488 277862 320610 384732 416793 427480 480915 512976 555724 641220 694655 769464 833586 854960 961830 1111448 1250379 1282440 1389310 1538928 1667172 1923660 2083965 2222896 2500758 2564880 2778620 3334344 3847320 4167930 5001516 5557240 6251895 6668688 7694640 8335860 10003032 11114480 12503790 16671720 20006064 25007580 33343440 50015160 100030320