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1101401973529 = 1121324121792
BaseRepresentation
bin10000000001110000101…
…011000110001100011001
310220021220121010101212021
4100001300223012030121
5121021132401123104
62201551014414441
7142400524206634
oct20016053061431
93807817111767
101101401973529
11395113778500
12159561361421
137cb28398100
143b445770c1b
151d9b3ad5754
hex10070ac6319

1101401973529 has 81 divisors (see below), whose sum is σ = 1351222981437. Its totient is φ = 896673148800.

The previous prime is 1101401973473. The next prime is 1101401973541. The reversal of 1101401973529 is 9253791041011.

The square root of 1101401973529 is 1049477.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 733617945225 + 367784028304 = 856515^2 + 606452^2 .

It is not a de Polignac number, because 1101401973529 - 219 = 1101401449241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1101401973029) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6153083562 + ... + 6153083740.

Almost surely, 21101401973529 is an apocalyptic number.

1101401973529 is the 1049477-th square number.

1101401973529 is the 524739-th centered octagonal number.

It is an amenable number.

1101401973529 is a deficient number, since it is larger than the sum of its proper divisors (249821007908).

1101401973529 is an equidigital number, since it uses as much as digits as its factorization.

1101401973529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 43.

The spelling of 1101401973529 in words is "one trillion, one hundred one billion, four hundred one million, nine hundred seventy-three thousand, five hundred twenty-nine".

Divisors: 1 11 13 41 121 143 169 179 451 533 1573 1681 1859 1969 2327 4961 5863 6929 7339 18491 20449 21659 21853 25597 30251 32041 64493 76219 80729 95407 203401 240383 281567 284089 300899 332761 352451 416533 838409 888019 1049477 1240291 1313681 2644213 3124979 3309889 3660371 3876961 3911687 4581863 5414929 11544247 13643201 14450491 17077853 34374769 36408779 43028557 50400493 50851931 53860921 59564219 150075211 158955401 187856383 222012089 473314127 559371241 592470131 655206409 700191973 2066420213 2442132979 6153083651 6517171441 7702111703 9102495649 26863462769 84723228733 100127452139 1101401973529