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1330131000198 = 2371113221467033
BaseRepresentation
bin10011010110110001111…
…111000101101110000110
311201011022010010212002110
4103112301333011232012
5133243102014001243
62455015335321450
7165045612645120
oct23266177055606
94634263125073
101330131000198
11473118300650
12195956220286
139857a668340
1448543174210
15248ee2c8e33
hex135b1fc5b86

1330131000198 has 64 divisors (see below), whose sum is σ = 3571820324352. Its totient is φ = 318912526080.

The previous prime is 1330131000109. The next prime is 1330131000199. The reversal of 1330131000198 is 8910001310331.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330131000199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110727511 + ... + 110739522.

It is an arithmetic number, because the mean of its divisors is an integer number (55809692568).

Almost surely, 21330131000198 is an apocalyptic number.

1330131000198 is an abundant number, since it is smaller than the sum of its proper divisors (2241689324154).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1330131000198 is a wasteful number, since it uses less digits than its factorization.

1330131000198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221467069.

The product of its (nonzero) digits is 1944, while the sum is 30.

The spelling of 1330131000198 in words is "one trillion, three hundred thirty billion, one hundred thirty-one million, one hundred ninety-eight", and thus it is an aban number.

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 429 462 546 858 1001 2002 3003 6006 221467033 442934066 664401099 1328802198 1550269231 2436137363 2879071429 3100538462 4650807693 4872274726 5758142858 7308412089 8637214287 9301615386 14616824178 17052961541 17274428574 20153500003 31669785719 34105923082 40307000006 51158884623 60460500009 63339571438 95009357157 102317769246 120921000018 190018714314 221688500033 443377000066 665065500099 1330131000198