Search a number
-
+
100110010010000 = 245473311365571
BaseRepresentation
bin10110110000110010101101…
…100101011100100110010000
3111010110102102201120001210112
4112300302231211130212100
5101110200300030310000
6552525523111020452
730041465241613334
oct2660625545344620
9433412381501715
10100110010010000
1129997464873a11
12b289ba796a728
1343b2444739113
141aa14c947d7c4
15b891576e3235
hex5b0cad95c990

100110010010000 has 100 divisors (see below), whose sum is σ = 242409584589744. Its totient is φ = 40038512400000.

The previous prime is 100110010009957. The next prime is 100110010010123. The reversal of 100110010010000 is 10010011001.

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, 72627215 + ... + 73992785.

Almost surely, 2100110010010000 is an apocalyptic number.

100110010010000 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 100110010010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121204792294872).

100110010010000 is an abundant number, since it is smaller than the sum of its proper divisors (142299574579744).

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

100110010010000 is an equidigital number, since it uses as much as digits as its factorization.

100110010010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1372930 (or 1372909 counting only the distinct ones).

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

Adding to 100110010010000 its reverse (10010011001), we get a palindrome (100120020021001).

The spelling of 100110010010000 in words is "one hundred trillion, one hundred ten billion, ten million, 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 7331 10000 14662 29324 36655 58648 73310 117296 146620 183275 293240 366550 586480 733100 916375 1365571 1466200 1832750 2731142 2932400 3665500 4581875 5462284 6827855 7331000 9163750 10924568 13655710 14662000 18327500 21849136 27311420 34139275 36655000 54622840 68278550 73310000 109245680 136557100 170696375 273114200 341392750 546228400 682785500 853481875 1365571000 1706963750 2731142000 3413927500 6827855000 10011001001 13655710000 20022002002 40044004004 50055005005 80088008008 100110010010 160176016016 200220020020 250275025025 400440040040 500550050050 800880080080 1001100100100 1251375125125 2002200200200 2502750250250 4004400400400 5005500500500 6256875625625 10011001001000 12513751251250 20022002002000 25027502502500 50055005005000 100110010010000