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11071635141 = 371943645313
BaseRepresentation
bin10100100111110101…
…11011111011000101
31001120121020100011210
422103322323323011
5140133314311031
65030343322033
7541236226440
oct122372737305
931517210153
1011071635141
114771716396
12218ba50319
131075a194c8
147705da657
1544bede746
hex293ebbec5

11071635141 has 32 divisors (see below), whose sum is σ = 18172042240. Its totient is φ = 5854270464.

The previous prime is 11071635139. The next prime is 11071635149. The reversal of 11071635141 is 14153617011.

It is not a de Polignac number, because 11071635141 - 21 = 11071635139 is a prime.

It is a super-2 number, since 2×110716351412 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11071635099 and 11071635108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11071635149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 305500 + ... + 339813.

It is an arithmetic number, because the mean of its divisors is an integer number (567876320).

Almost surely, 211071635141 is an apocalyptic number.

It is an amenable number.

11071635141 is a deficient number, since it is larger than the sum of its proper divisors (7100407099).

11071635141 is a wasteful number, since it uses less digits than its factorization.

11071635141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645385.

The product of its (nonzero) digits is 2520, while the sum is 30.

The spelling of 11071635141 in words is "eleven billion, seventy-one million, six hundred thirty-five thousand, one hundred forty-one".

Divisors: 1 3 7 19 21 43 57 129 133 301 399 817 903 2451 5719 17157 645313 1935939 4517191 12260947 13551573 27748459 36782841 83245377 85826629 194239213 257479887 527220721 582717639 1581662163 3690545047 11071635141