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31212033021213 = 31173101137936361
BaseRepresentation
bin1110001100011000111100…
…01001000001010100011101
311002111211201020122200101220
413012030132021001110131
513042334220423134323
6150214335433123553
76400665163156602
oct706143611012435
9132454636580356
1031212033021213
119a43a48a43080
1236011268595b9
131455388980945
1479c955a4a6a9
15391d6b0a90e3
hex1c631e24151d

31212033021213 has 64 divisors (see below), whose sum is σ = 46816182330624. Its totient is φ = 18337674240000.

The previous prime is 31212033021151. The next prime is 31212033021227.

31212033021213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31212033021213 - 224 = 31212016243997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31212033021263) 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, 32865153 + ... + 33801513.

It is an arithmetic number, because the mean of its divisors is an integer number (731502848916).

Almost surely, 231212033021213 is an apocalyptic number.

31212033021213 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31212033021213 is a deficient number, since it is larger than the sum of its proper divisors (15604149309411).

31212033021213 is a wasteful number, since it uses less digits than its factorization.

31212033021213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936686.

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 3121203 and 3021213, that added together give a palindrome (6142416).

The spelling of 31212033021213 in words is "thirty-one trillion, two hundred twelve billion, thirty-three million, twenty-one thousand, two hundred thirteen".

Divisors: 1 3 11 33 73 101 137 219 303 411 803 1111 1507 2409 3333 4521 7373 10001 13837 22119 30003 41511 81103 110011 152207 243309 330033 456621 936361 1010101 2809083 3030303 10299971 11111111 30899913 33333333 68354353 94572461 128281457 205063059 283717383 384844371 751897883 1040297071 1411096027 2255693649 3120891213 4233288081 6903789653 9364546361 12956427157 20711368959 28093639083 38869281471 75941686183 103010009971 142520698727 227825058549 309030029913 427562096181 945819182461 2837457547383 10404011007071 31212033021213