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71120222202117 = 31114731146300879
BaseRepresentation
bin10000001010111011110111…
…100101001010100100000101
3100022211000201120022211210010
4100022323313211022210011
533310213203340431432
6411132102401020433
720660160256162044
oct2012736745124405
9308730646284703
1071120222202117
112072aa0a372950
127b876aa624719
13308b7ba21873a
14137c34693655b
158350009a53cc
hex40aef794a905

71120222202117 has 16 divisors (see below), whose sum is σ = 103454619079680. Its totient is φ = 43100238658800.

The previous prime is 71120222202101. The next prime is 71120222202157.

71120222202117 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 71120222202117 - 24 = 71120222202101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71120222202157) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72664317 + ... + 73636562.

It is an arithmetic number, because the mean of its divisors is an integer number (6465913692480).

Almost surely, 271120222202117 is an apocalyptic number.

It is an amenable number.

71120222202117 is a deficient number, since it is larger than the sum of its proper divisors (32334396877563).

71120222202117 is a wasteful number, since it uses less digits than its factorization.

71120222202117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146315624.

The product of its (nonzero) digits is 3136, while the sum is 30.

It can be divided in two parts, 7112022 and 2202117, that added together give a palindrome (9314139).

The spelling of 71120222202117 in words is "seventy-one trillion, one hundred twenty billion, two hundred twenty-two million, two hundred two thousand, one hundred seventeen".

Divisors: 1 3 11 33 14731 44193 162041 486123 146300879 438902637 1609309669 4827929007 2155158248549 6465474745647 23706740734039 71120222202117