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97981319331 = 3372412151119
BaseRepresentation
bin101101101000000100…
…1000100100010100011
3100100220111010201222000
41123100021010202203
53101131204204311
6113002331415043
710036032321060
oct1332011044243
9310814121860
1097981319331
113860a99a475
1216ba58b4483
13931652463c
144a56d01c67
152836dd7056
hex16d02448a3

97981319331 has 32 divisors (see below), whose sum is σ = 166582732800. Its totient is φ = 55756978560.

The previous prime is 97981319321. The next prime is 97981319339. The reversal of 97981319331 is 13391318979.

It is a happy number.

97981319331 is a `hidden beast` number, since 97 + 98 + 131 + 9 + 331 = 666.

It is not a de Polignac number, because 97981319331 - 29 = 97981318819 is a prime.

It is a super-2 number, since 2×979813193312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (97981319339) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1030011 + ... + 1121108.

It is an arithmetic number, because the mean of its divisors is an integer number (5205710400).

Almost surely, 297981319331 is an apocalyptic number.

97981319331 is a deficient number, since it is larger than the sum of its proper divisors (68601413469).

97981319331 is a wasteful number, since it uses less digits than its factorization.

97981319331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2151376 (or 2151370 counting only the distinct ones).

The product of its digits is 1102248, while the sum is 54.

The spelling of 97981319331 in words is "ninety-seven billion, nine hundred eighty-one million, three hundred nineteen thousand, three hundred thirty-one".

Divisors: 1 3 7 9 21 27 63 189 241 723 1687 2169 5061 6507 15183 45549 2151119 6453357 15057833 19360071 45173499 58080213 135520497 406561491 518419679 1555259037 3628937753 4665777111 10886813259 13997331333 32660439777 97981319331