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10121132333 = 1325310632
BaseRepresentation
bin10010110110100010…
…00011100100101101
3222010100200210110002
421123101003210231
5131212002213313
64352150554045
7505545130304
oct113321034455
928110623402
1010121132333
11432412a584
121b65668925
13c53b1c900
146c029543b
153e3839058
hex25b44392d

10121132333 has 18 divisors (see below), whose sum is σ = 11176868106. Its totient is φ = 9157685472.

The previous prime is 10121132323. The next prime is 10121132369. The reversal of 10121132333 is 33323112101.

It can be written as a sum of positive squares in 3 ways, for example, as 136726249 + 9984406084 = 11693^2 + 99922^2 .

It is not a de Polignac number, because 10121132333 - 24 = 10121132317 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121132303) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9520760 + ... + 9521822.

It is an arithmetic number, because the mean of its divisors is an integer number (620937117).

Almost surely, 210121132333 is an apocalyptic number.

10121132333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10121132333 is a deficient number, since it is larger than the sum of its proper divisors (1055735773).

10121132333 is an frugal number, since it uses more digits than its factorization.

10121132333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2205 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 10121132333 its reverse (33323112101), we get a palindrome (43444244434).

The spelling of 10121132333 in words is "ten billion, one hundred twenty-one million, one hundred thirty-two thousand, three hundred thirty-three".

Divisors: 1 13 53 169 689 1063 8957 13819 56339 179647 732407 1129969 9521291 14689597 59888357 190964761 778548641 10121132333