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101001000110000 = 245494611067551
BaseRepresentation
bin10110111101110000100000…
…101110111100011110110000
3111020121121020100121210202212
4112331300200232330132300
5101214300022012010000
6554451115141031252
730163036636531004
oct2675604056743660
9436547210553685
10101001000110000
112a200313520561
12b3b28066b5528
134448479689a43
141ad268ddd4704
15ba2403c39c35
hex5bdc20bbc7b0

101001000110000 has 100 divisors (see below), whose sum is σ = 244559596928064. Its totient is φ = 40396092000000.

The previous prime is 101001000109957. The next prime is 101001000110039. The reversal of 101001000110000 is 11000100101.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 94076225 + ... + 95143775.

Almost surely, 2101001000110000 is an apocalyptic number.

101001000110000 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 101001000110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122279798464032).

101001000110000 is an abundant number, since it is smaller than the sum of its proper divisors (143558596818064).

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

101001000110000 is an equidigital number, since it uses as much as digits as its factorization.

101001000110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077040 (or 1077019 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 101001000110000 its reverse (11000100101), we get a palindrome (101012000210101).

The spelling of 101001000110000 in words is "one hundred one trillion, one billion, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 9461 10000 18922 37844 47305 75688 94610 151376 189220 236525 378440 473050 756880 946100 1067551 1182625 1892200 2135102 2365250 3784400 4270204 4730500 5337755 5913125 8540408 9461000 10675510 11826250 17080816 18922000 21351020 23652500 26688775 42702040 47305000 53377550 85404080 94610000 106755100 133443875 213510200 266887750 427020400 533775500 667219375 1067551000 1334438750 2135102000 2668877500 5337755000 10100100011 10675510000 20200200022 40400400044 50500500055 80800800088 101001000110 161601600176 202002000220 252502500275 404004000440 505005000550 808008000880 1010010001100 1262512501375 2020020002200 2525025002750 4040040004400 5050050005500 6312562506875 10100100011000 12625125013750 20200200022000 25250250027500 50500500055000 101001000110000