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100245336160 = 2551749737411
BaseRepresentation
bin101110101011100010…
…1100111000001100000
3100120202021021201012011
41131113011213001200
53120300301224120
6114015125242304
710146113204164
oct1352705470140
9316667251164
10100245336160
1139571973862
1217517b63394
1395b75ab378
144bcd884ca4
15291aa4bc5a
hex1757167060

100245336160 has 96 divisors (see below), whose sum is σ = 250845027552. Its totient is φ = 37726740480.

The previous prime is 100245336127. The next prime is 100245336179. The reversal of 100245336160 is 61633542001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13522855 + ... + 13530265.

It is an arithmetic number, because the mean of its divisors is an integer number (2612969037).

Almost surely, 2100245336160 is an apocalyptic number.

100245336160 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 100245336160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125422513776).

100245336160 is an abundant number, since it is smaller than the sum of its proper divisors (150599691392).

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

100245336160 is a wasteful number, since it uses less digits than its factorization.

100245336160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12416 (or 12408 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

Adding to 100245336160 its reverse (61633542001), we get a palindrome (161878878161).

The spelling of 100245336160 in words is "one hundred billion, two hundred forty-five million, three hundred thirty-six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 4973 7411 9946 14822 19892 24865 29644 37055 39784 49730 59288 74110 79568 84541 99460 118576 125987 148220 159136 169082 198920 237152 251974 296440 338164 397840 422705 503948 592880 629935 676328 795680 845410 1007896 1185760 1259870 1352656 1690820 2015792 2519740 2705312 3381640 4031584 5039480 6763280 10078960 13526560 20157920 36854903 73709806 147419612 184274515 294839224 368549030 589678448 626533351 737098060 1179356896 1253066702 1474196120 2506133404 2948392240 3132666755 5012266808 5896784480 6265333510 10024533616 12530667020 20049067232 25061334040 50122668080 100245336160