Search a number
-
+
100110010011012 = 22336831357166233
BaseRepresentation
bin10110110000110010101101…
…100101011100110110000100
3111010110102102201120010012000
4112300302231211130312010
5101110200300030323022
6552525523111025300
730041465241616311
oct2660625545346604
9433412381503160
10100110010011012
1129997464874751
12b289ba796b230
1343b2444739711
141aa14c947dd08
15b891576e36ac
hex5b0cad95cd84

100110010011012 has 48 divisors (see below), whose sum is σ = 259924477135680. Its totient is φ = 33321145328064.

The previous prime is 100110010010951. The next prime is 100110010011013. The reversal of 100110010011012 is 210110010011001.

It is a super-2 number, since 2×1001100100110122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100110010010985 and 100110010011003.

It is not an unprimeable number, because it can be changed into a prime (100110010011013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 678509353 + ... + 678656880.

It is an arithmetic number, because the mean of its divisors is an integer number (5415093273660).

Almost surely, 2100110010011012 is an apocalyptic number.

100110010011012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100110010011012 is an abundant number, since it is smaller than the sum of its proper divisors (159814467124668).

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

100110010011012 is a wasteful number, since it uses less digits than its factorization.

100110010011012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357166929 (or 1357166921 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100110010011012 its reverse (210110010011001), we get a palindrome (310220020022013).

The spelling of 100110010011012 in words is "one hundred trillion, one hundred ten billion, ten million, eleven thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 683 1366 2049 2732 4098 6147 8196 12294 18441 24588 36882 73764 1357166233 2714332466 4071498699 5428664932 8142997398 12214496097 16285994796 24428992194 36643488291 48857984388 73286976582 146573953164 926944537139 1853889074278 2780833611417 3707778148556 5561667222834 8342500834251 11123334445668 16685001668502 25027502502753 33370003337004 50055005005506 100110010011012