Search a number
-
+
32123212001031 = 3172299949276461
BaseRepresentation
bin1110100110111010001001…
…01000111110111100000111
311012201221121212122210000210
413103131010220332330013
513202301314233013111
6152153111101010503
76523553065542204
oct723350450767407
9135657555583023
1032123212001031
11a2654177a6968
12372983a853a33
1314c028a46bab8
147d0ab39b2cab
153aa8e9c2b0a6
hex1d3744a3ef07

32123212001031 has 32 divisors (see below), whose sum is σ = 45553196664000. Its totient is φ = 20065634887680.

The previous prime is 32123212001003. The next prime is 32123212001077. The reversal of 32123212001031 is 13010021232123.

It is not a de Polignac number, because 32123212001031 - 219 = 32123211476743 is a prime.

It is a super-2 number, since 2×321232120010312 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 32123212000989 and 32123212001007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32123212001081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116056141 + ... + 116332601.

It is an arithmetic number, because the mean of its divisors is an integer number (1423537395750).

Almost surely, 232123212001031 is an apocalyptic number.

32123212001031 is a deficient number, since it is larger than the sum of its proper divisors (13429984662969).

32123212001031 is a wasteful number, since it uses less digits than its factorization.

32123212001031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286659.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 32123212001031 its reverse (13010021232123), we get a palindrome (45133233233154).

The spelling of 32123212001031 in words is "thirty-two trillion, one hundred twenty-three billion, two hundred twelve million, one thousand, thirty-one".

Divisors: 1 3 17 51 229 687 3893 9949 11679 29847 169133 276461 507399 829383 2278321 4699837 6834963 14099511 38731457 63309569 116194371 189928707 1076262673 2750510489 3228788019 8251531467 46758678313 140276034939 629866901981 1889600705943 10707737333677 32123212001031