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1135211404369 = 7219280112
BaseRepresentation
bin10000100001001111110…
…111110101110001010001
311000112011211112102221111
4100201033313311301101
5122044403104414434
62225301532053321
7145005411504100
oct20411767656121
94015154472844
101135211404369
113a8493274289
12164018004241
1383085a4a0a3
143cd31ac4037
151e7e1d8e964
hex1084fdf5c51

1135211404369 has 27 divisors (see below), whose sum is σ = 1393886816361. Its totient is φ = 921710732040.

The previous prime is 1135211404277. The next prime is 1135211404373. The reversal of 1135211404369 is 9634041125311.

The square root of 1135211404369 is 1065463.

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

It is not a de Polignac number, because 1135211404369 - 215 = 1135211371601 is a prime.

It is a super-2 number, since 2×11352114043692 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1135211404669) 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, 141702574 + ... + 141710584.

It is an arithmetic number, because the mean of its divisors is an integer number (51625437643).

Almost surely, 21135211404369 is an apocalyptic number.

1135211404369 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

1135211404369 is the 1065463-rd square number.

1135211404369 is the 532732-nd centered octagonal number.

It is an amenable number.

1135211404369 is a deficient number, since it is larger than the sum of its proper divisors (258675411992).

1135211404369 is an frugal number, since it uses more digits than its factorization.

1135211404369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16074 (or 8037 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The spelling of 1135211404369 in words is "one trillion, one hundred thirty-five billion, two hundred eleven million, four hundred four thousand, three hundred sixty-nine".

Divisors: 1 7 19 49 133 361 931 2527 8011 17689 56077 152209 392539 1065463 2891971 7458241 20243797 64176121 141706579 449232847 1219346299 3144629929 8535424093 23167579681 59747968651 162173057767 1135211404369