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10441121131 = 737411377177
BaseRepresentation
bin10011011100101011…
…01101110101101011
3222221122210220120001
421232111231311223
5132340411334011
64444021243431
7516512031250
oct115625556553
928848726501
1010441121131
114478816931
122034863577
13ca51c89ac
1471098d427
154119957c1
hex26e56dd6b

10441121131 has 32 divisors (see below), whose sum is σ = 12647521152. Its totient is φ = 8432087040.

The previous prime is 10441121083. The next prime is 10441121209. The reversal of 10441121131 is 13112114401.

It is a cyclic number.

It is not a de Polignac number, because 10441121131 - 27 = 10441121003 is a prime.

It is a super-2 number, since 2×104411211312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10441121099 and 10441121108.

It is not an unprimeable number, because it can be changed into a prime (10441101131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1451215 + ... + 1458391.

It is an arithmetic number, because the mean of its divisors is an integer number (395235036).

Almost surely, 210441121131 is an apocalyptic number.

10441121131 is a deficient number, since it is larger than the sum of its proper divisors (2206400021).

10441121131 is a wasteful number, since it uses less digits than its factorization.

10441121131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7399.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 10441121131 its reverse (13112114401), we get a palindrome (23553235532).

The spelling of 10441121131 in words is "ten billion, four hundred forty-one million, one hundred twenty-one thousand, one hundred thirty-one".

Divisors: 1 7 37 41 137 259 287 959 1517 5069 5617 7177 10619 35483 39319 50239 207829 265549 294257 983249 1454803 1858843 2059799 6882743 10887509 36380213 40313209 76212563 254661491 282192463 1491588733 10441121131