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1002223131 = 37133671147
BaseRepresentation
bin111011101111001…
…011011000011011
32120211212012200020
4323233023120123
54023032120011
6243241041523
733556520220
oct7357133033
92524765606
101002223131
11474802088
1223b7862a3
1312c838050
1497169947
155cec0006
hex3bbcb61b

1002223131 has 16 divisors (see below), whose sum is σ = 1644674304. Its totient is φ = 528645024.

The previous prime is 1002223129. The next prime is 1002223133. The reversal of 1002223131 is 1313222001.

It is an interprime number because it is at equal distance from previous prime (1002223129) and next prime (1002223133).

It is not a de Polignac number, because 1002223131 - 21 = 1002223129 is a prime.

It is a super-2 number, since 2×10022231312 = 2008902408622886322, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1002223131.

It is not an unprimeable number, because it can be changed into a prime (1002223133) 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 15 ways as a sum of consecutive naturals, for example, 1835301 + ... + 1835846.

It is an arithmetic number, because the mean of its divisors is an integer number (102792144).

Almost surely, 21002223131 is an apocalyptic number.

1002223131 is a deficient number, since it is larger than the sum of its proper divisors (642451173).

1002223131 is a wasteful number, since it uses less digits than its factorization.

1002223131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3671170.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1002223131 is about 31657.9078746527. The cubic root of 1002223131 is about 1000.7404951982.

Adding to 1002223131 its reverse (1313222001), we get a palindrome (2315445132).

It can be divided in two parts, 10022 and 23131, that added together give a triangular number (33153 = T257).

The spelling of 1002223131 in words is "one billion, two million, two hundred twenty-three thousand, one hundred thirty-one".

Divisors: 1 3 7 13 21 39 91 273 3671147 11013441 25698029 47724911 77094087 143174733 334074377 1002223131