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132010100001 = 3413149383969
BaseRepresentation
bin111101011110001101…
…0100100010100100001
3110121202000021220110000
41322330122210110201
54130324041200001
6140351122330213
712352222223133
oct1727432442441
9417660256400
10132010100001
1150a92294aaa
1221701ab9969
13c5aa477110
146564433053
15367956da86
hex1ebc6a4521

132010100001 has 40 divisors (see below), whose sum is σ = 212514298920. Its totient is φ = 81181605888.

The previous prime is 132010099999. The next prime is 132010100003. The reversal of 132010100001 is 100001010231.

It is an interprime number because it is at equal distance from previous prime (132010099999) and next prime (132010100003).

It can be written as a sum of positive squares in 4 ways, for example, as 49898624400 + 82111475601 = 223380^2 + 286551^2 .

It is not a de Polignac number, because 132010100001 - 21 = 132010099999 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (132010100003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1530145 + ... + 1614113.

It is an arithmetic number, because the mean of its divisors is an integer number (5312857473).

Almost surely, 2132010100001 is an apocalyptic number.

It is an amenable number.

132010100001 is a deficient number, since it is larger than the sum of its proper divisors (80504198919).

132010100001 is a wasteful number, since it uses less digits than its factorization.

132010100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85487 (or 85478 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 132010100001 its reverse (100001010231), we get a palindrome (232011110232).

The spelling of 132010100001 in words is "one hundred thirty-two billion, ten million, one hundred thousand, one".

Divisors: 1 3 9 13 27 39 81 117 351 1053 1493 4479 13437 19409 40311 58227 83969 120933 174681 251907 524043 755721 1091597 1572129 2267163 3274791 6801489 9824373 29473119 88419357 125365717 376097151 1128291453 1629754321 3384874359 4889262963 10154623077 14667788889 44003366667 132010100001