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100301423616 = 2103232992
BaseRepresentation
bin101110101101001101…
…1100100010000000000
3100120220011211020201100
41131122123210100000
53120404131023431
6114024451334400
710150364014362
oct1353233442000
9316804736640
10100301423616
11395a05a2129
12175328b1400
1395c60b8504
144bd70c4d32
15292092a4e6
hex175a6e4400

100301423616 has 99 divisors (see below), whose sum is σ = 289706000311. Its totient is φ = 33423673344.

The previous prime is 100301423581. The next prime is 100301423639. The reversal of 100301423616 is 616324103001.

The square root of 100301423616 is 316704.

It is a perfect power (a square), and thus also a powerful number.

100301423616 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 0 + 1 + 42 + 3 + 616 = 666.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100301423616.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 30401935 + ... + 30405233.

Almost surely, 2100301423616 is an apocalyptic number.

100301423616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

100301423616 is the 316704-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100301423616

100301423616 is an abundant number, since it is smaller than the sum of its proper divisors (189404576695).

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

100301423616 is an frugal number, since it uses more digits than its factorization.

100301423616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6624 (or 3304 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 100301423616 its reverse (616324103001), we get a palindrome (716625526617).

The spelling of 100301423616 in words is "one hundred billion, three hundred one million, four hundred twenty-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 3299 4608 6598 9216 9897 13196 19794 26392 29691 39588 52784 59382 79176 105568 118764 158352 211136 237528 316704 422272 475056 633408 844544 950112 1266816 1689088 1900224 2533632 3378176 3800448 5067264 7600896 10134528 10883401 15201792 21766802 30403584 32650203 43533604 65300406 87067208 97950609 130600812 174134416 195901218 261201624 348268832 391802436 522403248 696537664 783604872 1044806496 1393075328 1567209744 2089612992 2786150656 3134419488 4179225984 5572301312 6268838976 8358451968 11144602624 12537677952 16716903936 25075355904 33433807872 50150711808 100301423616