Search a number
-
+
1100100331332 = 223417199727729
BaseRepresentation
bin10000000000100011000…
…101101110011101000100
310220011112212212010110000
4100000203011232131010
5121011001141100312
62201213520001300
7142323340346502
oct20004305563504
93804485763400
101100100331332
11394605a59452
12159259460230
137c97b806822
143b360943672
151d9396bdadc
hex1002316e744

1100100331332 has 60 divisors (see below), whose sum is σ = 3045048971580. Its totient is φ = 345129513984.

The previous prime is 1100100331327. The next prime is 1100100331367. The reversal of 1100100331332 is 2331330010011.

It is a happy number.

1100100331332 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 1 + 0 + 0 + 331 + 332 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 792181882116 + 307918449216 = 890046^2 + 554904^2 .

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 19 ways as a sum of consecutive naturals, for example, 99858357 + ... + 99869372.

It is an arithmetic number, because the mean of its divisors is an integer number (50750816193).

Almost surely, 21100100331332 is an apocalyptic number.

1100100331332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1100100331332 is an abundant number, since it is smaller than the sum of its proper divisors (1944948640248).

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

1100100331332 is a wasteful number, since it uses less digits than its factorization.

1100100331332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199727762 (or 199727751 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1100100331332 its reverse (2331330010011), we get a palindrome (3431430341343).

The spelling of 1100100331332 in words is "one trillion, one hundred billion, one hundred million, three hundred thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 306 324 459 612 918 1377 1836 2754 5508 199727729 399455458 599183187 798910916 1198366374 1797549561 2396732748 3395371393 3595099122 5392648683 6790742786 7190198244 10186114179 10785297366 13581485572 16177946049 20372228358 21570594732 30558342537 32355892098 40744456716 61116685074 64711784196 91675027611 122233370148 183350055222 275025082833 366700110444 550050165666 1100100331332