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311697773401 = 72797572
BaseRepresentation
bin1001000100100101010…
…00101001001101011001
31002210112202100111010211
410202102220221031121
520101324112222101
6355105245011121
731343106234100
oct4422250511531
91083482314124
10311697773401
111102102a3623
12504aab53aa1
1323515496011
141112c96b037
158194630c51
hex4892a29359

311697773401 has 9 divisors (see below), whose sum is σ = 362591751999. Its totient is φ = 267166170264.

The previous prime is 311697773399. The next prime is 311697773441. The reversal of 311697773401 is 104377796113.

It is a happy number.

The square root of 311697773401 is 558299.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 206802110025 + 104895663376 = 454755^2 + 323876^2 .

It is not a de Polignac number, because 311697773401 - 21 = 311697773399 is a prime.

It is a super-2 number, since 2×3116977734012 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (311697773441) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3868215 + ... + 3947971.

Almost surely, 2311697773401 is an apocalyptic number.

311697773401 is the 558299-th square number.

311697773401 is the 279150-th centered octagonal number.

It is an amenable number.

311697773401 is a deficient number, since it is larger than the sum of its proper divisors (50893978598).

311697773401 is an frugal number, since it uses more digits than its factorization.

311697773401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159528 (or 79764 counting only the distinct ones).

The product of its (nonzero) digits is 666792, while the sum is 49.

Multiplying 311697773401 by its sum of digits (49), we get a square (15273190896649 = 39080932).

311697773401 divided by its sum of digits (49) gives a square (6361179049 = 797572).

The spelling of 311697773401 in words is "three hundred eleven billion, six hundred ninety-seven million, seven hundred seventy-three thousand, four hundred one".

Divisors: 1 7 49 79757 558299 3908093 6361179049 44528253343 311697773401