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1005140350122 = 233125727177591
BaseRepresentation
bin11101010000001110000…
…10001001010010101010
310120002102221220021012220
432220013002021102222
5112432011412200442
62045431034014510
7132422213002356
oct16500702112252
93502387807186
101005140350122
11358306584037
12142977577436
1373a27227c2c
1436913000466
151b22cb92eec
hexea070894aa

1005140350122 has 64 divisors (see below), whose sum is σ = 2090916937728. Its totient is φ = 321781248000.

The previous prime is 1005140350121. The next prime is 1005140350157. The reversal of 1005140350122 is 2210530415001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1005140350092 and 1005140350101.

It is not an unprimeable number, because it can be changed into a prime (1005140350121) 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, 12915547 + ... + 12993137.

It is an arithmetic number, because the mean of its divisors is an integer number (32670577152).

Almost surely, 21005140350122 is an apocalyptic number.

1005140350122 is an abundant number, since it is smaller than the sum of its proper divisors (1085776587606).

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

1005140350122 is a wasteful number, since it uses less digits than its factorization.

1005140350122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78155.

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 1005140350122 its reverse (2210530415001), we get a palindrome (3215670765123).

The spelling of 1005140350122 in words is "one trillion, five billion, one hundred forty million, three hundred fifty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 31 62 93 186 257 271 514 542 771 813 1542 1626 7967 8401 15934 16802 23901 25203 47802 50406 69647 77591 139294 155182 208941 232773 417882 465546 2159057 2405321 4318114 4810642 6477171 7215963 12954342 14431926 19940887 21027161 39881774 42054322 59822661 63081483 119645322 126162966 618167497 651841991 1236334994 1303683982 1854502491 1955525973 3709004982 3911051946 5403980377 10807960754 16211941131 32423882262 167523391687 335046783374 502570175061 1005140350122