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1101035056 = 24111771273
BaseRepresentation
bin100000110100000…
…0111011000110000
32211201210101011011
41001220013120300
54223331110211
6301131000304
736166433512
oct10150073060
92751711134
101101035056
11515561a30
12268899094
13147153b44
14a632bbb2
15669dc921
hex41a07630

1101035056 has 120 divisors (see below), whose sum is σ = 2533511952. Its totient is φ = 458035200.

The previous prime is 1101035041. The next prime is 1101035057. The reversal of 1101035056 is 6505301011.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (1101035057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15082636 + ... + 15082708.

Almost surely, 21101035056 is an apocalyptic number.

1101035056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1101035056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266755976).

1101035056 is an abundant number, since it is smaller than the sum of its proper divisors (1432476896).

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

1101035056 is a wasteful number, since it uses less digits than its factorization.

1101035056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 22.

The square root of 1101035056 is about 33181.8482908954. The cubic root of 1101035056 is about 1032.6037920545.

Adding to 1101035056 its reverse (6505301011), we get a palindrome (7606336067).

The spelling of 1101035056 in words is "one billion, one hundred one million, thirty-five thousand, fifty-six".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 71 73 88 136 142 146 176 187 272 284 292 374 568 584 748 781 803 1136 1168 1207 1241 1496 1562 1606 2414 2482 2992 3124 3212 4828 4964 5041 5183 6248 6424 9656 9928 10082 10366 12496 12848 13277 13651 19312 19856 20164 20732 26554 27302 40328 41464 53108 54604 55451 57013 80656 82928 85697 88111 106216 109208 110902 114026 171394 176222 212432 218416 221804 228052 342788 352444 367993 443608 456104 685576 704888 735986 887216 912208 942667 969221 1371152 1409776 1471972 1885334 1938442 2943944 3770668 3876884 4047923 5887888 6255881 7541336 7753768 8095846 12511762 15082672 15507536 16191692 25023524 32383384 50047048 64766768 68814691 100094096 137629382 275258764 550517528 1101035056