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2141312243031 = 331328321556907
BaseRepresentation
bin11111001010010000001…
…001111101010101010111
321120201002201202120202000
4133022100021331111113
5240040401413234111
64315412200450343
7310463466515553
oct37122011752527
97521081676660
102141312243031
11756141a345a5
122a70011799b3
13126c03c59b20
14758d64a8863
153aa7900bc56
hex1f29027d557

2141312243031 has 32 divisors (see below), whose sum is σ = 3428410648320. Its totient is φ = 1313074258272.

The previous prime is 2141312243023. The next prime is 2141312243033. The reversal of 2141312243031 is 1303422131412.

2141312243031 is a `hidden beast` number, since 2 + 1 + 4 + 131 + 224 + 303 + 1 = 666.

It is not a de Polignac number, because 2141312243031 - 23 = 2141312243023 is a prime.

It is a super-2 number, since 2×21413122430312 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2141312242986 and 2141312243004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141312243033) 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, 10679121 + ... + 10877786.

It is an arithmetic number, because the mean of its divisors is an integer number (107137832760).

Almost surely, 22141312243031 is an apocalyptic number.

2141312243031 is a deficient number, since it is larger than the sum of its proper divisors (1287098405289).

2141312243031 is a wasteful number, since it uses less digits than its factorization.

2141312243031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21557212 (or 21557206 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 2141312243031 its reverse (1303422131412), we get a palindrome (3444734374443).

The spelling of 2141312243031 in words is "two trillion, one hundred forty-one billion, three hundred twelve million, two hundred forty-three thousand, thirty-one".

Divisors: 1 3 9 13 27 39 117 283 351 849 2547 3679 7641 11037 33111 99333 21556907 64670721 194012163 280239791 582036489 840719373 2522158119 6100604681 7566474357 18301814043 54905442129 79307860853 164716326387 237923582559 713770747677 2141312243031