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1010413369 = 721922392
BaseRepresentation
bin111100001110011…
…010111100111001
32121102021022120101
4330032122330321
54032131211434
6244132355401
734016241400
oct7416327471
92542238511
101010413369
11479396579
12242475b61
13131444c44
149829c637
155da8bb14
hex3c39af39

1010413369 has 27 divisors (see below), whose sum is σ = 1245708837. Its totient is φ = 817053048.

The previous prime is 1010413361. The next prime is 1010413373. The reversal of 1010413369 is 9633140101.

The square root of 1010413369 is 31787.

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

It is not a de Polignac number, because 1010413369 - 23 = 1010413361 is a prime.

It is a super-2 number, since 2×10104133692 = 2041870352507860322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1010413361) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4227552 + ... + 4227790.

Almost surely, 21010413369 is an apocalyptic number.

1010413369 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

1010413369 is the 31787-th square number.

1010413369 is the 15894-th centered octagonal number.

It is an amenable number.

1010413369 is a deficient number, since it is larger than the sum of its proper divisors (235295468).

1010413369 is an frugal number, since it uses more digits than its factorization.

1010413369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The cubic root of 1010413369 is about 1003.4591435291.

The spelling of 1010413369 in words is "one billion, ten million, four hundred thirteen thousand, three hundred sixty-nine".

Divisors: 1 7 19 49 133 239 361 931 1673 2527 4541 11711 17689 31787 57121 86279 222509 399847 603953 1085299 2798929 4227671 7597093 20620681 53179651 144344767 1010413369