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100230038352 = 24327352118301
BaseRepresentation
bin101110101011000101…
…1010000001101010000
3100120201012111111112200
41131112023100031100
53120232342211402
6114013421323200
710145536161153
oct1352613201520
9316635444480
10100230038352
1139564275344
1217512a06500
1395b4383302
144bcb821c9a
15291952921c
hex17562d0350

100230038352 has 120 divisors (see below), whose sum is σ = 284908771368. Its totient is φ = 32887296000.

The previous prime is 100230038339. The next prime is 100230038371. The reversal of 100230038352 is 253830032001.

100230038352 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 300 + 3 + 8 + 352 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 34999056 + 100195039296 = 5916^2 + 316536^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5467602 + ... + 5485902.

Almost surely, 2100230038352 is an apocalyptic number.

100230038352 is a gapful number since it is divisible by the number (12) 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 100230038352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142454385684).

100230038352 is an abundant number, since it is smaller than the sum of its proper divisors (184678733016).

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

100230038352 is a wasteful number, since it uses less digits than its factorization.

100230038352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18909 (or 18900 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 100230038352 in words is "one hundred billion, two hundred thirty million, thirty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 144 146 219 292 438 521 584 657 876 1042 1168 1314 1563 1752 2084 2628 3126 3504 4168 4689 5256 6252 8336 9378 10512 12504 18301 18756 25008 36602 37512 38033 54903 73204 75024 76066 109806 114099 146408 152132 164709 219612 228198 292816 304264 329418 342297 439224 456396 608528 658836 684594 878448 912792 1317672 1335973 1369188 1825584 2635344 2671946 2738376 4007919 5343892 5476752 8015838 9534821 10687784 12023757 16031676 19069642 21375568 24047514 28604463 32063352 38139284 48095028 57208926 64126704 76278568 85813389 96190056 114417852 152557136 171626778 192380112 228835704 343253556 457671408 686507112 696041933 1373014224 1392083866 2088125799 2784167732 4176251598 5568335464 6264377397 8352503196 11136670928 12528754794 16705006392 25057509588 33410012784 50115019176 100230038352