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31111033032 = 2332432097681
BaseRepresentation
bin11100111110010111…
…001011000011001000
32222022011220020011200
4130332113023003020
51002203411024112
622143041224200
72150650263132
oct347627130310
988264806150
1031111033032
1112215404652
126043032060
132c1a6098b1
141711c1a052
15c2143dcdc
hex73e5cb0c8

31111033032 has 24 divisors (see below), whose sum is σ = 84259047990. Its totient is φ = 10370344320.

The previous prime is 31111033021. The next prime is 31111033033. The reversal of 31111033032 is 23033011113.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 22193252676 + 8917780356 = 148974^2 + 94434^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×311110330322 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 31111032996 and 31111033014.

It is not an unprimeable number, because it can be changed into a prime (31111033033) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 216048769 + ... + 216048912.

Almost surely, 231111033032 is an apocalyptic number.

It is an amenable number.

31111033032 is an abundant number, since it is smaller than the sum of its proper divisors (53148014958).

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

31111033032 is a wasteful number, since it uses less digits than its factorization.

31111033032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432097693 (or 432097686 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 31111033032 its reverse (23033011113), we get a palindrome (54144044145).

The spelling of 31111033032 in words is "thirty-one billion, one hundred eleven million, thirty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 432097681 864195362 1296293043 1728390724 2592586086 3456781448 3888879129 5185172172 7777758258 10370344344 15555516516 31111033032