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11032142205 = 357314198089
BaseRepresentation
bin10100100011001000…
…10010000101111101
31001110211220220001110
422101210102011331
5140043212022310
65022413032233
7540246442620
oct122144220575
931424826043
1011032142205
1147513a17a7
12217a785679
13106a79c6c6
14769279db7
154487dcd20
hex29191217d

11032142205 has 64 divisors (see below), whose sum is σ = 20876083200. Its totient is φ = 4868328960.

The previous prime is 11032142167. The next prime is 11032142263. The reversal of 11032142205 is 50224123011.

It is not a de Polignac number, because 11032142205 - 213 = 11032134013 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1359801 + ... + 1367889.

It is an arithmetic number, because the mean of its divisors is an integer number (326188800).

Almost surely, 211032142205 is an apocalyptic number.

11032142205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11032142205 is a deficient number, since it is larger than the sum of its proper divisors (9843940995).

11032142205 is a wasteful number, since it uses less digits than its factorization.

11032142205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8554.

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 11032142205 its reverse (50224123011), we get a palindrome (61256265216).

The spelling of 11032142205 in words is "eleven billion, thirty-two million, one hundred forty-two thousand, two hundred five".

Divisors: 1 3 5 7 15 21 31 35 93 105 155 217 419 465 651 1085 1257 2095 2933 3255 6285 8089 8799 12989 14665 24267 38967 40445 43995 56623 64945 90923 121335 169869 194835 250759 272769 283115 454615 752277 849345 1253795 1363845 1755313 3389291 3761385 5265939 8776565 10167873 16946455 23725037 26329695 50839365 71175111 105068021 118625185 315204063 355875555 525340105 735476147 1576020315 2206428441 3677380735 11032142205