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11101100029904 = 2417278914633513
BaseRepresentation
bin1010000110001010110100…
…0111111011011111010000
31110022020212202012022220102
42201202231013323133100
52423340023101424104
635335435220031532
72224012415231153
oct241425507733720
943266782168812
1011101100029904
11359aa4a61a835
1212b3573b325a8
13626aa1ac4c61
142a5420741c9a
15143b72283a1e
hexa18ad1fb7d0

11101100029904 has 40 divisors (see below), whose sum is σ = 22781747265480. Its totient is φ = 5222173626368.

The previous prime is 11101100029867. The next prime is 11101100029933. The reversal of 11101100029904 is 40992000110111.

It can be written as a sum of positive squares in 4 ways, for example, as 5903830848400 + 5197269181504 = 2429780^2 + 2279752^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6558149 + ... + 8075364.

It is an arithmetic number, because the mean of its divisors is an integer number (569543681637).

Almost surely, 211101100029904 is an apocalyptic number.

It is an amenable number.

11101100029904 is an abundant number, since it is smaller than the sum of its proper divisors (11680647235576).

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

11101100029904 is a wasteful number, since it uses less digits than its factorization.

11101100029904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14636327 (or 14636321 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 29.

The spelling of 11101100029904 in words is "eleven trillion, one hundred one billion, one hundred million, twenty-nine thousand, nine hundred four".

Divisors: 1 2 4 8 16 17 34 68 136 272 2789 5578 11156 22312 44624 47413 94826 189652 379304 758608 14633513 29267026 58534052 117068104 234136208 248769721 497539442 995078884 1990157768 3980315536 40812867757 81625735514 163251471028 326502942056 653005884112 693818751869 1387637503738 2775275007476 5550550014952 11101100029904