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1003221342252 = 223229960939983
BaseRepresentation
bin11101001100101001010…
…01101101100000101100
310112220111012221120022100
432212110221231200230
5112414044130423002
62044512403015100
7132323521465263
oct16462451554054
93486435846270
101003221342252
11357511326018
1214252096a490
13737ac79a70c
14367b01c95da
151b16947d11c
hexe994a6d82c

1003221342252 has 36 divisors (see below), whose sum is σ = 2623366156320. Its totient is φ = 322875833952.

The previous prime is 1003221342251. The next prime is 1003221342269. The reversal of 1003221342252 is 2522431223001.

1003221342252 is a `hidden beast` number, since 10 + 0 + 3 + 221 + 3 + 422 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (1003221342251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 480468948 + ... + 480471035.

It is an arithmetic number, because the mean of its divisors is an integer number (72871282120).

Almost surely, 21003221342252 is an apocalyptic number.

1003221342252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1003221342252 is an abundant number, since it is smaller than the sum of its proper divisors (1620144814068).

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

1003221342252 is a wasteful number, since it uses less digits than its factorization.

1003221342252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960940022 (or 960940017 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 1003221342252 its reverse (2522431223001), we get a palindrome (3525652565253).

The spelling of 1003221342252 in words is "one trillion, three billion, two hundred twenty-one million, three hundred forty-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 960939983 1921879966 2882819949 3843759932 5765639898 8648459847 11531279796 17296919694 27867259507 34593839388 55734519014 83601778521 111469038028 167203557042 250805335563 334407114084 501610671126 1003221342252