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1200100122100 = 2252117314945207
BaseRepresentation
bin10001011101101011100…
…010101001110111110100
311020201200001002211200101
4101131223202221313310
5124130301112401400
62315152434323444
7152463412504135
oct21355342516764
94221601084611
101200100122100
11422a61261330
12174707129584
1389227271c59
144212994bc8c
152133d8b656a
hex1176b8a9df4

1200100122100 has 72 divisors (see below), whose sum is σ = 2879881800768. Its totient is φ = 430421932800.

The previous prime is 1200100122083. The next prime is 1200100122113. The reversal of 1200100122100 is 12210010021.

It is a Harshad number since it is a multiple of its sum of digits (10).

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 23 ways as a sum of consecutive naturals, for example, 7392304 + ... + 7552903.

It is an arithmetic number, because the mean of its divisors is an integer number (39998358344).

Almost surely, 21200100122100 is an apocalyptic number.

1200100122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1200100122100 is an abundant number, since it is smaller than the sum of its proper divisors (1679781678668).

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

1200100122100 is a wasteful number, since it uses less digits than its factorization.

1200100122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14945305 (or 14945298 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1200100122100 its reverse (12210010021), we get a palindrome (1212310132121).

The spelling of 1200100122100 in words is "one trillion, two hundred billion, one hundred million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 73 100 110 146 220 275 292 365 550 730 803 1100 1460 1606 1825 3212 3650 4015 7300 8030 16060 20075 40150 80300 14945207 29890414 59780828 74726035 149452070 164397277 298904140 328794554 373630175 657589108 747260350 821986385 1091000111 1494520700 1643972770 2182000222 3287945540 4109931925 4364000444 5455000555 8219863850 10910001110 12001001221 16439727700 21820002220 24002002442 27275002775 48004004884 54550005550 60005006105 109100011100 120010012210 240020024420 300025030525 600050061050 1200100122100