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10101313332 = 2234112834263
BaseRepresentation
bin10010110100001010…
…11100111100110100
3222001222101212220000
421122011130330310
5131141414011312
64350202111300
7505214514045
oct113205347464
928058355800
1010101313332
114313a23240
121b5aaab530
13c4c9a09a6
146bb7b68cc
153e1c21adc
hex25a15cf34

10101313332 has 60 divisors (see below), whose sum is σ = 28807459296. Its totient is φ = 3061002960.

The previous prime is 10101313267. The next prime is 10101313333. The reversal of 10101313332 is 23331310101.

It is a happy number.

10101313332 is a `hidden beast` number, since 10 + 10 + 1 + 313 + 332 = 666.

10101313332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101313333) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 1413568 + ... + 1420695.

Almost surely, 210101313332 is an apocalyptic number.

10101313332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10101313332 is an abundant number, since it is smaller than the sum of its proper divisors (18706145964).

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

10101313332 is a wasteful number, since it uses less digits than its factorization.

10101313332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2834290 (or 2834279 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10101313332 its reverse (23331310101), we get a palindrome (33432623433).

The spelling of 10101313332 in words is "ten billion, one hundred one million, three hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 297 324 396 594 891 1188 1782 3564 2834263 5668526 8502789 11337052 17005578 25508367 31176893 34011156 51016734 62353786 76525101 93530679 102033468 124707572 153050202 187061358 229575303 280592037 306100404 374122716 459150606 561184074 841776111 918301212 1122368148 1683552222 2525328333 3367104444 5050656666 10101313332