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11011013442 = 232111331137993
BaseRepresentation
bin10100100000100111…
…01011101101000010
31001102101011102211200
422100103223231002
5140022304412232
65020340122030
7536602033002
oct122023535502
931371142750
1011011013442
114740480410
122173696316
1310662b2590
1476653a002
15446a1777c
hex2904ebb42

11011013442 has 96 divisors (see below), whose sum is σ = 28932374016. Its totient is φ = 2980627200.

The previous prime is 11011013413. The next prime is 11011013471. The reversal of 11011013442 is 24431011011.

11011013442 is a `hidden beast` number, since 110 + 110 + 1 + 3 + 442 = 666.

It is an interprime number because it is at equal distance from previous prime (11011013413) and next prime (11011013471).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10798 + ... + 148790.

It is an arithmetic number, because the mean of its divisors is an integer number (301378896).

Almost surely, 211011013442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11011013442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14466187008).

11011013442 is an abundant number, since it is smaller than the sum of its proper divisors (17921360574).

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

11011013442 is a wasteful number, since it uses less digits than its factorization.

11011013442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138056 (or 138053 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11011013442 its reverse (24431011011), we get a palindrome (35442024453).

The spelling of 11011013442 in words is "eleven billion, eleven million, thirteen thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 31 33 39 62 66 78 93 99 117 143 186 198 234 279 286 341 403 429 558 682 806 858 1023 1209 1287 2046 2418 2574 3069 3627 4433 6138 7254 8866 13299 26598 39897 79794 137993 275986 413979 827958 1241937 1517923 1793909 2483874 3035846 3587818 4277783 4553769 5381727 8555566 9107538 10763454 12833349 13661307 16145181 19732999 25666698 27322614 32290362 38500047 39465998 47055613 55611179 59198997 77000094 94111226 111222358 118397994 141166839 166833537 177596991 282333678 333667074 355193982 423500517 500500611 611722969 847001034 1001001222 1223445938 1835168907 3670337814 5505506721 11011013442