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213346525005251 = 11229213125762273
BaseRepresentation
bin110000100000100110011011…
…110101100100010111000011
31000222101201200011001202120122
4300200212123311210113003
5210430432140400132001
62033430012431330455
762636530530121361
oct6040463365442703
91028351604052518
10213346525005251
1161a84831484400
121bb17b9b680a2b
13920764c8c29b1
143a98053b8c631
15199e97565bb1b
hexc2099bd645c3

213346525005251 has 72 divisors (see below), whose sum is σ = 245680221778992. Its totient is φ = 185107854131200.

The previous prime is 213346525005217. The next prime is 213346525005269. The reversal of 213346525005251 is 152500525643312.

It is a de Polignac number, because none of the positive numbers 2k-213346525005251 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213346525005281) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3425956451 + ... + 3426018723.

It is an arithmetic number, because the mean of its divisors is an integer number (3412225302486).

Almost surely, 2213346525005251 is an apocalyptic number.

213346525005251 is a deficient number, since it is larger than the sum of its proper divisors (32333696773741).

213346525005251 is a wasteful number, since it uses less digits than its factorization.

213346525005251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62741 (or 62701 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 44.

The spelling of 213346525005251 in words is "two hundred thirteen trillion, three hundred forty-six billion, five hundred twenty-five million, five thousand, two hundred fifty-one".

Divisors: 1 11 29 121 131 257 319 841 1441 2827 3509 3799 7453 9251 15851 31097 33667 41789 62273 81983 101761 110171 216137 370337 459679 685003 901813 976343 1211881 1805917 2377507 4073707 7535033 8157763 10739773 13330691 16004161 19865087 26152577 28313947 52371593 89735393 118137503 176045771 218515957 236575127 311453417 464120669 576087523 987089323 1936503481 2096545091 2602326397 3425987587 5105327359 6336962753 6860678683 13459499401 23061996001 28625590367 56158600949 60799807639 75467465513 148054493411 253681956011 668797884029 830142120643 1628599427521 1763194421531 7356776724319 19395138636841 213346525005251