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1320311132019 = 331117337775963
BaseRepresentation
bin10011001101101000101…
…011010000111101110011
311200012221202022212101000
4103031220223100331303
5133112444122211034
62450313105413043
7164250353310615
oct23155053207563
94605852285330
101320311132019
11469a39239310
12193a7563a183
1397674099a59
1447c90d00db5
152452714d599
hex13368ad0f73

1320311132019 has 64 divisors (see below), whose sum is σ = 2266063188480. Its totient is φ = 750882908160.

The previous prime is 1320311132003. The next prime is 1320311132047. The reversal of 1320311132019 is 9102311130231.

1320311132019 is a `hidden beast` number, since 1 + 3 + 20 + 311 + 1 + 320 + 1 + 9 = 666.

It is not a de Polignac number, because 1320311132019 - 24 = 1320311132003 is a prime.

It is a super-2 number, since 2×13203111320192 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1320311131983 and 1320311132001.

It is not an unprimeable number, because it can be changed into a prime (1320311132069) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1313532 + ... + 2089494.

It is an arithmetic number, because the mean of its divisors is an integer number (35407237320).

Almost surely, 21320311132019 is an apocalyptic number.

1320311132019 is a deficient number, since it is larger than the sum of its proper divisors (945752056461).

1320311132019 is a wasteful number, since it uses less digits than its factorization.

1320311132019 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776337 (or 776331 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 1320311132019 in words is "one trillion, three hundred twenty billion, three hundred eleven million, one hundred thirty-two thousand, nineteen".

Divisors: 1 3 9 11 17 27 33 51 99 153 187 297 337 459 561 1011 1683 3033 3707 5049 5729 9099 11121 17187 33363 51561 63019 100089 154683 189057 567171 775963 1701513 2327889 6983667 8535593 13191371 20951001 25606779 39574113 76820337 118722339 145105081 230461011 261499531 356167017 435315243 784498593 1305945729 2353495779 2876494841 3917837187 4445492027 7060487337 8629484523 13336476081 25888453569 40009428243 48900412297 77665360707 120028284729 146701236891 440103710673 1320311132019