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12100232001 = 31113178831879
BaseRepresentation
bin10110100010011101…
…01110001101000001
31011020021201110210210
423101032232031001
5144240124411001
65320405544333
7605566163214
oct132116561501
934207643723
1012100232001
11514a2a1440
1224184150a9
1311aab59ac0
1482b06d77b
154ac46ddd6
hex2d13ae341

12100232001 has 64 divisors (see below), whose sum is σ = 20102584320. Its totient is φ = 6360560640.

The previous prime is 12100231961. The next prime is 12100232003. The reversal of 12100232001 is 10023200121.

It is not a de Polignac number, because 12100232001 - 29 = 12100231489 is a prime.

It is a super-2 number, since 2×121002320012 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12100232003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6438780 + ... + 6440658.

It is an arithmetic number, because the mean of its divisors is an integer number (314102880).

Almost surely, 212100232001 is an apocalyptic number.

12100232001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12100232001 is a deficient number, since it is larger than the sum of its proper divisors (8002352319).

12100232001 is a wasteful number, since it uses less digits than its factorization.

12100232001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2806.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12100232001 its reverse (10023200121), we get a palindrome (22123432122).

The spelling of 12100232001 in words is "twelve billion, one hundred million, two hundred thirty-two thousand, one".

Divisors: 1 3 11 13 17 33 39 51 143 187 221 429 561 663 883 1879 2431 2649 5637 7293 9713 11479 15011 20669 24427 29139 31943 34437 45033 62007 73281 95829 126269 165121 195143 268697 351373 378807 415259 495363 585429 806091 1054119 1245777 1659157 2146573 4567849 4977471 6439719 13703547 18250727 21569041 28205669 54752181 64707123 84617007 237259451 310262359 366673697 711778353 930787077 1100021091 4033410667 12100232001