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1202440442021 = 713731374872713
BaseRepresentation
bin10001011111110111000…
…010010001000010100101
311020221201010211102001222
4101133313002101002211
5124200044223121041
62320220555430125
7152605411055240
oct21376702210245
94227633742058
101202440442021
11423a52311325
1217505aa55345
138950b093440
14422ac6b4257
152142909e74b
hex117f70910a5

1202440442021 has 64 divisors (see below), whose sum is σ = 1514811153408. Its totient is φ = 929244192768.

The previous prime is 1202440441981. The next prime is 1202440442039.

It is a happy number.

1202440442021 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 1202440442021 - 26 = 1202440441957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1202440442081) 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 63 ways as a sum of consecutive naturals, for example, 443212961 + ... + 443215673.

It is an arithmetic number, because the mean of its divisors is an integer number (23668924272).

Almost surely, 21202440442021 is an apocalyptic number.

It is an amenable number.

1202440442021 is a deficient number, since it is larger than the sum of its proper divisors (312370711387).

1202440442021 is a wasteful number, since it uses less digits than its factorization.

1202440442021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3430.

The product of its (nonzero) digits is 4096, while the sum is 26.

It can be divided in two parts, 1202440 and 442021, that added together give a palindrome (1644461).

The spelling of 1202440442021 in words is "one trillion, two hundred two billion, four hundred forty million, four hundred forty-two thousand, twenty-one".

Divisors: 1 7 13 73 91 137 487 511 949 959 1781 2713 3409 6331 6643 10001 12467 18991 35269 35551 44317 66719 70007 130013 198049 246883 248857 371681 462163 467033 867347 910091 1321231 1386343 2574637 2601767 3235141 4831853 4870487 6071429 9248617 17176003 18022459 27132713 33822971 34093409 63316331 96449863 120232021 181008647 189928991 352725269 443214317 675149041 1253848219 1267060529 2353112411 2469076883 8776937533 13213631231 16471786877 92495418617 171777206003 1202440442021