Search a number
-
+
2112166211351 = 72353467530041
BaseRepresentation
bin11110101111000110111…
…010101010111100010111
321110220212111100202200012
4132233012322222330113
5234101204022230401
64254152112110435
7305412306366350
oct36570672527427
97426774322605
102112166211351
11744845842609
122a142823541b
1312423a792331
147432d636d27
1539e2036a8bb
hex1ebc6eaaf17

2112166211351 has 32 divisors (see below), whose sum is σ = 2571882513408. Its totient is φ = 1695398664960.

The previous prime is 2112166211333. The next prime is 2112166211387. The reversal of 2112166211351 is 1531126612112.

It is not a de Polignac number, because 2112166211351 - 218 = 2112165949207 is a prime.

It is a super-2 number, since 2×21121662113512 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112166213351) 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, 3719891 + ... + 4249931.

It is an arithmetic number, because the mean of its divisors is an integer number (80371328544).

Almost surely, 22112166211351 is an apocalyptic number.

2112166211351 is a deficient number, since it is larger than the sum of its proper divisors (459716302057).

2112166211351 is a wasteful number, since it uses less digits than its factorization.

2112166211351 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530591.

The product of its digits is 4320, while the sum is 32.

The spelling of 2112166211351 in words is "two trillion, one hundred twelve billion, one hundred sixty-six million, two hundred eleven thousand, three hundred fifty-one".

Divisors: 1 7 23 53 161 371 467 1219 3269 8533 10741 24751 75187 173257 530041 569273 3710287 3984911 12190943 28092173 85336601 196645211 247529147 646119979 1732704029 4522839853 5693170381 13119044791 39852192667 91833313537 301738030193 2112166211351