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1005302335141 = 138322938910459
BaseRepresentation
bin11101010000100001011…
…00000100011010100101
310120002212020200221220001
432220100230010122211
5112432324344211031
62045455101541301
7132426220600036
oct16502054043245
93502766627801
101005302335141
11358389a61855
12142a01874831
1373a51962060
143692a728a8d
151b23bedd861
hexea10b046a5

1005302335141 has 32 divisors (see below), whose sum is σ = 1103396112000. Its totient is φ = 910354007808.

The previous prime is 1005302335133. The next prime is 1005302335187. The reversal of 1005302335141 is 1415332035001.

It is a happy number.

It is not a de Polignac number, because 1005302335141 - 23 = 1005302335133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005302335841) 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, 96113170 + ... + 96123628.

It is an arithmetic number, because the mean of its divisors is an integer number (34481128500).

Almost surely, 21005302335141 is an apocalyptic number.

It is an amenable number.

1005302335141 is a deficient number, since it is larger than the sum of its proper divisors (98093776859).

1005302335141 is a wasteful number, since it uses less digits than its factorization.

1005302335141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11173.

The product of its (nonzero) digits is 5400, while the sum is 28.

The spelling of 1005302335141 in words is "one trillion, five billion, three hundred two million, three hundred thirty-five thousand, one hundred forty-one".

Divisors: 1 13 83 229 389 1079 2977 5057 10459 19007 32287 89081 135967 247091 419731 868097 1158053 2395111 4068551 7393723 11285261 31136443 52891163 96118399 198794213 337689733 931698179 2584324769 4389966529 12112076327 77330948857 1005302335141