Search a number
-
+
211313202031323 = 33723103471954103
BaseRepresentation
bin110000000011000000110000…
…010101111110101011011011
31000201012100022101011102222000
4300003000300111332223123
5210144123414210000243
62025231540031332043
762336606065035660
oct6003006025765333
91021170271142860
10211313202031323
1161370475694047
121b849ab7981023
1390ba9986cc292
143a27883817a67
151966b1be655d3
hexc0303057eadb

211313202031323 has 64 divisors (see below), whose sum is σ = 376959181946880. Its totient is φ = 114379020527904.

The previous prime is 211313202031303. The next prime is 211313202031343. The reversal of 211313202031323 is 323130202313112.

211313202031323 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 1 + 320 + 2 + 0 + 313 + 23 = 666.

It is an interprime number because it is at equal distance from previous prime (211313202031303) and next prime (211313202031343).

It is not a de Polignac number, because 211313202031323 - 29 = 211313202030811 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (211313202031303) 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, 235529311 + ... + 236424792.

It is an arithmetic number, because the mean of its divisors is an integer number (5889987217920).

Almost surely, 2211313202031323 is an apocalyptic number.

211313202031323 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

211313202031323 is a deficient number, since it is larger than the sum of its proper divisors (165645979915557).

211313202031323 is a wasteful number, since it uses less digits than its factorization.

211313202031323 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471954245 (or 471954239 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 211313202031323 its reverse (323130202313112), we get a palindrome (534443404344435).

The spelling of 211313202031323 in words is "two hundred eleven trillion, three hundred thirteen billion, two hundred two million, thirty-one thousand, three hundred twenty-three".

Divisors: 1 3 7 9 21 23 27 63 69 103 161 189 207 309 483 621 721 927 1449 2163 2369 2781 4347 6489 7107 16583 19467 21321 49749 63963 149247 447741 471954103 1415862309 3303678721 4247586927 9911036163 10854944369 12742760781 29733108489 32564833107 48611272609 75984610583 89199325467 97694499321 145833817827 227953831749 293083497963 340278908263 437501453481 683861495247 1020836724789 1118059270007 1312504360443 2051584485741 3062510174367 3354177810021 7826414890049 9187530523101 10062533430063 23479244670147 30187600290189 70437734010441 211313202031323