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1106105606010 = 232547261490687
BaseRepresentation
bin10000000110001001000…
…010000001111101111010
310220202001101211200121200
4100012021002001331322
5121110301013343020
62204045441515030
7142625220344106
oct20061102017572
93822041750550
101106105606010
11397107862179
1215a454642a76
13803c79cb3b2
143b770326906
151db8b9e9590
hex10189081f7a

1106105606010 has 48 divisors (see below), whose sum is σ = 2937063407616. Its totient is φ = 288685717344.

The previous prime is 1106105606003. The next prime is 1106105606083. The reversal of 1106105606010 is 106065016011.

1106105606010 is a `hidden beast` number, since 1 + 1 + 0 + 6 + 1 + 0 + 56 + 0 + 601 + 0 = 666.

It is a super-2 number, since 2×11061056060102 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130741114 + ... + 130749573.

It is an arithmetic number, because the mean of its divisors is an integer number (61188820992).

Almost surely, 21106105606010 is an apocalyptic number.

1106105606010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1106105606010 is an abundant number, since it is smaller than the sum of its proper divisors (1830957801606).

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

1106105606010 is a wasteful number, since it uses less digits than its factorization.

1106105606010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261490747 (or 261490744 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 1106105606010 in words is "one trillion, one hundred six billion, one hundred five million, six hundred six thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 47 90 94 141 235 282 423 470 705 846 1410 2115 4230 261490687 522981374 784472061 1307453435 1568944122 2353416183 2614906870 3922360305 4706832366 7844720610 11767080915 12290062289 23534161830 24580124578 36870186867 61450311445 73740373734 110610560601 122900622890 184350934335 221221121202 368701868670 553052803005 1106105606010