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1005211334152 = 233710093365693
BaseRepresentation
bin11101010000010110100…
…00111011011000001000
310120002121220110122000001
432220023100323120020
5112432133100143102
62045442051252344
7132424034235034
oct16501320733010
93502556418001
101005211334152
11358342657423
121429972aa0b4
1373a38b4c60c
143691c5db1c4
151b234015487
hexea0b43b608

1005211334152 has 32 divisors (see below), whose sum is σ = 1937630035800. Its totient is φ = 488536925184.

The previous prime is 1005211334119. The next prime is 1005211334159. The reversal of 1005211334152 is 2514331125001.

It can be written as a sum of positive squares in 4 ways, for example, as 963196993476 + 42014340676 = 981426^2 + 204974^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1005211334152.

It is not an unprimeable number, because it can be changed into a prime (1005211334159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1384183 + ... + 1981510.

Almost surely, 21005211334152 is an apocalyptic number.

It is an amenable number.

1005211334152 is a deficient number, since it is larger than the sum of its proper divisors (932418701648).

1005211334152 is a wasteful number, since it uses less digits than its factorization.

1005211334152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3366745 (or 3366741 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

Adding to 1005211334152 its reverse (2514331125001), we get a palindrome (3519542459153).

The spelling of 1005211334152 in words is "one trillion, five billion, two hundred eleven million, three hundred thirty-four thousand, one hundred fifty-two".

Divisors: 1 2 4 8 37 74 148 296 1009 2018 4036 8072 37333 74666 149332 298664 3365693 6731386 13462772 26925544 124530641 249061282 498122564 996245128 3395984237 6791968474 13583936948 27167873896 125651416769 251302833538 502605667076 1005211334152