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981132201013033 = 13731597447457793
BaseRepresentation
bin1101111100010101011010010…
…0010100011010111100101001
311202122220022201000122111120101
43133011112210110122330221
52012044332221424404113
613354405524422225401
7413442314401042606
oct33705264424327451
94678808630574511
10981132201013033
11264689914454263
1292059bb0b85261
133315c4a5c0b784
141343d0a25cd6ad
157866777dac2dd
hex37c55a451af29

981132201013033 has 8 divisors (see below), whose sum is σ = 982461600311688. Its totient is φ = 979803696635904.

The previous prime is 981132201012967. The next prime is 981132201013073. The reversal of 981132201013033 is 330310102231189.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 317341909412649 + 663790291600384 = 17814093^2 + 25764128^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 981132201013033 - 29 = 981132201012521 is a prime.

It is a super-3 number, since 3×9811322010130333 (a number of 46 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 981132201012983 and 981132201013001.

It is not an unprimeable number, because it can be changed into a prime (981132201013073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 221536216 + ... + 225921577.

It is an arithmetic number, because the mean of its divisors is an integer number (122807700038961).

Almost surely, 2981132201013033 is an apocalyptic number.

It is an amenable number.

981132201013033 is a deficient number, since it is larger than the sum of its proper divisors (1329399298655).

981132201013033 is a wasteful number, since it uses less digits than its factorization.

981132201013033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447460763.

The product of its (nonzero) digits is 23328, while the sum is 37.

The spelling of 981132201013033 in words is "nine hundred eighty-one trillion, one hundred thirty-two billion, two hundred one million, thirteen thousand, thirty-three".

Divisors: 1 1373 1597 2192681 447457793 614359549789 714590095421 981132201013033