Search a number
-
+
1055133135 = 34571721893
BaseRepresentation
bin111110111001000…
…000110111001111
32201112102022120000
4332321000313033
54130103230020
6252411055343
735101324620
oct7671006717
92645368500
101055133135
114a1660161
12255441553
1313a7a1b44
14a01bda47
1562972090
hex3ee40dcf

1055133135 has 80 divisors (see below), whose sum is σ = 2288886336. Its totient is φ = 453952512.

The previous prime is 1055133083. The next prime is 1055133139. The reversal of 1055133135 is 5313315501.

1055133135 is a `hidden beast` number, since 10 + 5 + 513 + 3 + 135 = 666.

It is not a de Polignac number, because 1055133135 - 28 = 1055132879 is a prime.

It is a super-2 number, since 2×10551331352 = 2226611865149856450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1055133099 and 1055133108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055133139) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 37249 + ... + 59141.

Almost surely, 21055133135 is an apocalyptic number.

1055133135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1055133135 is an abundant number, since it is smaller than the sum of its proper divisors (1233753201).

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

1055133135 is a wasteful number, since it uses less digits than its factorization.

1055133135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21934 (or 21925 counting only the distinct ones).

The product of its (nonzero) digits is 3375, while the sum is 27.

The square root of 1055133135 is about 32482.8129169873. The cubic root of 1055133135 is about 1018.0499507168.

Adding to 1055133135 its reverse (5313315501), we get a palindrome (6368448636).

The spelling of 1055133135 in words is "one billion, fifty-five million, one hundred thirty-three thousand, one hundred thirty-five".

Divisors: 1 3 5 7 9 15 17 21 27 35 45 51 63 81 85 105 119 135 153 189 255 315 357 405 459 567 595 765 945 1071 1377 1785 2295 2835 3213 5355 6885 9639 16065 21893 48195 65679 109465 153251 197037 328395 372181 459753 591111 766255 985185 1116543 1379259 1773333 1860905 2298765 2605267 2955555 3349629 4137777 5582715 6896295 7815801 8866665 10048887 12413331 13026335 16748145 20688885 23447403 30146661 39079005 50244435 62066655 70342209 117237015 150733305 211026627 351711045 1055133135