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11130101000 = 235326174253
BaseRepresentation
bin10100101110110011…
…11101110100001000
31001201200020201020222
422113121331310020
5140243301213000
65040232405212
7542546204024
oct122731756410
931650221228
1011130101000
1147a1719687
1221a7546808
131084b7a0a5
14778299384
154521dca85
hex29767dd08

11130101000 has 64 divisors (see below), whose sum is σ = 26060514480. Its totient is φ = 4449292800.

The previous prime is 11130100979. The next prime is 11130101009. The reversal of 11130101000 is 10103111.

It can be written as a sum of positive squares in 8 ways, for example, as 763195876 + 10366905124 = 27626^2 + 101818^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (11130101009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2614874 + ... + 2619126.

Almost surely, 211130101000 is an apocalyptic number.

11130101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11130101000 is an abundant number, since it is smaller than the sum of its proper divisors (14930413480).

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

11130101000 is a wasteful number, since it uses less digits than its factorization.

11130101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6891 (or 6877 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 11130101000 its reverse (10103111), we get a palindrome (11140204111).

The spelling of 11130101000 in words is "eleven billion, one hundred thirty million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 2617 4253 5234 8506 10468 13085 17012 20936 21265 26170 34024 42530 52340 65425 85060 104680 106325 130850 170120 212650 261700 327125 425300 523400 531625 654250 850600 1063250 1308500 2126500 2617000 4253000 11130101 22260202 44520404 55650505 89040808 111301010 222602020 278252525 445204040 556505050 1113010100 1391262625 2226020200 2782525250 5565050500 11130101000