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1316777112 = 233276534001
BaseRepresentation
bin100111001111100…
…0110110010011000
310101202202012121200
41032133012302120
510144043331422
6334355034200
744426264220
oct11637066230
93352665550
101316777112
11616317152
12308b9b960
1317ca60471
14c6c4b080
157a9062ac
hex4e7c6c98

1316777112 has 96 divisors (see below), whose sum is σ = 4083000480. Its totient is φ = 375552000.

The previous prime is 1316777101. The next prime is 1316777113. The reversal of 1316777112 is 2117776131.

1316777112 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1316777113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 327112 + ... + 331112.

It is an arithmetic number, because the mean of its divisors is an integer number (42531255).

Almost surely, 21316777112 is an apocalyptic number.

1316777112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1316777112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2041500240).

1316777112 is an abundant number, since it is smaller than the sum of its proper divisors (2766223368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1316777112 is a wasteful number, since it uses less digits than its factorization.

1316777112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4673 (or 4666 counting only the distinct ones).

The product of its digits is 12348, while the sum is 36.

The square root of 1316777112 is about 36287.4236065334. The cubic root of 1316777112 is about 1096.0678093091.

The spelling of 1316777112 in words is "one billion, three hundred sixteen million, seven hundred seventy-seven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 653 1306 1959 2612 3918 4001 4571 5224 5877 7836 8002 9142 11754 12003 13713 15672 16004 18284 23508 24006 27426 28007 32008 36009 36568 41139 47016 48012 54852 56014 72018 82278 84021 96024 109704 112028 144036 164556 168042 224056 252063 288072 329112 336084 504126 672168 1008252 2016504 2612653 5225306 7837959 10450612 15675918 18288571 20901224 23513877 31351836 36577142 47027754 54865713 62703672 73154284 94055508 109731426 146308568 164597139 188111016 219462852 329194278 438925704 658388556 1316777112