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101000330320212 = 22322805564731117
BaseRepresentation
bin10110111101101111111000…
…110011111001100101010100
3111020121112111200021221220200
4112331233320303321211110
5101214242134030221322
6554450524453100500
730163014224442051
oct2675577063714524
9436545450257820
10101000330320212
112a1aaaaa435584
12b3b265a327730
1344483a099721b
141ad2629082028
15ba23b50338ac
hex5bdbf8cf9954

101000330320212 has 18 divisors (see below), whose sum is σ = 255306390531738. Its totient is φ = 33666776773392.

The previous prime is 101000330320187. The next prime is 101000330320237. The reversal of 101000330320212 is 212023033000101.

101000330320212 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 0 + 0 + 330 + 320 + 2 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (101000330320187) and next prime (101000330320237).

It can be written as a sum of positive squares in only one way, i.e., 56563094472336 + 44437235847876 = 7520844^2 + 6666126^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×1010003303202123 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1402782365523 + ... + 1402782365594.

Almost surely, 2101000330320212 is an apocalyptic number.

101000330320212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101000330320212 is an abundant number, since it is smaller than the sum of its proper divisors (154306060211526).

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

101000330320212 is a wasteful number, since it uses less digits than its factorization.

101000330320212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2805564731127 (or 2805564731122 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 101000330320212 its reverse (212023033000101), we get a palindrome (313023363320313).

The spelling of 101000330320212 in words is "one hundred one trillion, three hundred thirty million, three hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 2805564731117 5611129462234 8416694193351 11222258924468 16833388386702 25250082580053 33666776773404 50500165160106 101000330320212