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1141335035225 = 527112920444873
BaseRepresentation
bin10000100110111100110…
…111101000110101011001
311001002222121020010021022
4100212330313220311121
5122144423232111400
62232153322452225
7145313226505220
oct20467467506531
94032877203238
101141335035225
11400045966830
12165246964075
13838206115b8
143d3530b5cb7
151ea4e798b85
hex109bcde8d59

1141335035225 has 48 divisors (see below), whose sum is σ = 1825318350720. Its totient is φ = 686947699200.

The previous prime is 1141335035219. The next prime is 1141335035227. The reversal of 1141335035225 is 5225305331411.

It is a happy number.

It is not a de Polignac number, because 1141335035225 - 26 = 1141335035161 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1141335035227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10166612 + ... + 10278261.

It is an arithmetic number, because the mean of its divisors is an integer number (38027465640).

Almost surely, 21141335035225 is an apocalyptic number.

It is an amenable number.

1141335035225 is a deficient number, since it is larger than the sum of its proper divisors (683983315495).

1141335035225 is a wasteful number, since it uses less digits than its factorization.

1141335035225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20444930 (or 20444925 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 35.

The spelling of 1141335035225 in words is "one trillion, one hundred forty-one billion, three hundred thirty-five million, thirty-five thousand, two hundred twenty-five".

Divisors: 1 5 7 11 25 29 35 55 77 145 175 203 275 319 385 725 1015 1595 1925 2233 5075 7975 11165 55825 20444873 102224365 143114111 224893603 511121825 592901317 715570555 1124468015 1574255221 2964506585 3577852775 4150309219 5622340075 6521914487 7871276105 14822532925 20751546095 32609572435 39356380525 45653401409 103757730475 163047862175 228267007045 1141335035225