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10553016441 = 3111743437467
BaseRepresentation
bin10011101010000001…
…00100000001111001
31000020110100210001210
421311000210001321
5133103033011231
64503055433333
7522341105532
oct116500440171
930213323053
1010553016441
1145259a24a0
122066225849
13cc2445936
14721799689
1541b6e9a46
hex275024079

10553016441 has 32 divisors (see below), whose sum is σ = 16630783488. Its totient is φ = 5879543040.

The previous prime is 10553016433. The next prime is 10553016449. The reversal of 10553016441 is 14461035501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10553016433) and next prime (10553016449).

It is not a de Polignac number, because 10553016441 - 23 = 10553016433 is a prime.

It is a super-2 number, since 2×105530164412 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10553016399 and 10553016408.

It is not an unprimeable number, because it can be changed into a prime (10553016449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194611 + ... + 242856.

It is an arithmetic number, because the mean of its divisors is an integer number (519711984).

Almost surely, 210553016441 is an apocalyptic number.

10553016441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10553016441 is a deficient number, since it is larger than the sum of its proper divisors (6077767047).

10553016441 is a wasteful number, since it uses less digits than its factorization.

10553016441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437541.

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 10553016441 in words is "ten billion, five hundred fifty-three million, sixteen thousand, four hundred forty-one".

Divisors: 1 3 11 17 33 43 51 129 187 473 561 731 1419 2193 8041 24123 437467 1312401 4812137 7436939 14436411 18811081 22310817 56433243 81806329 206921891 245418987 319788377 620765673 959365131 3517672147 10553016441