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10010011010100 = 2235235394523239
BaseRepresentation
bin1001000110101010001100…
…1001101000010000110100
31022102221120212201020222020
42101222203021220100310
52303001000304310400
633142311403433140
72052125255463543
oct221524311502064
938387525636866
1010010011010100
11320a249289092
1211580105257b0
13577c2b1cc23a
142686b691a15a
151255b3c782a0
hex91aa3268434

10010011010100 has 72 divisors (see below), whose sum is σ = 29044345001280. Its totient is φ = 2661774382080.

The previous prime is 10010011010029. The next prime is 10010011010171. The reversal of 10010011010100 is 101011001001.

It is an interprime number because it is at equal distance from previous prime (10010011010029) and next prime (10010011010171).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 23 ways as a sum of consecutive naturals, for example, 47155720 + ... + 47367519.

Almost surely, 210010011010100 is an apocalyptic number.

10010011010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010011010100 is an abundant number, since it is smaller than the sum of its proper divisors (19034333991180).

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

10010011010100 is a wasteful number, since it uses less digits than its factorization.

10010011010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94523609 (or 94523602 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 10010011010100 its reverse (101011001001), we get a palindrome (10111022011101).

Subtracting from 10010011010100 its reverse (101011001001), we obtain a palindrome (9909000009099).

The spelling of 10010011010100 in words is "ten trillion, ten billion, eleven million, ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 353 706 1059 1412 1765 2118 3530 4236 5295 7060 8825 10590 17650 21180 26475 35300 52950 105900 94523239 189046478 283569717 378092956 472616195 567139434 945232390 1134278868 1417848585 1890464780 2363080975 2835697170 4726161950 5671394340 7089242925 9452323900 14178485850 28356971700 33366703367 66733406734 100100110101 133466813468 166833516835 200200220202 333667033670 400400440404 500500550505 667334067340 834167584175 1001001101010 1668335168350 2002002202020 2502502752525 3336670336700 5005005505050 10010011010100