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2103012332100 = 2232527093295741
BaseRepresentation
bin11110100110100101010…
…011011001001001000100
321110001020112201112000100
4132212211103121021010
5233423432124111400
64250035512444100
7304636414610631
oct36464523311104
97401215645010
102103012332100
117409786aa649
1229b6b26a9630
1312340c185534
1473b01a07188
1539a868e5100
hex1e9a54d9244

2103012332100 has 108 divisors (see below), whose sum is σ = 6601074609220. Its totient is φ = 560012140800.

The previous prime is 2103012332081. The next prime is 2103012332111. The reversal of 2103012332100 is 12332103012.

2103012332100 is a `hidden beast` number, since 21 + 0 + 301 + 2 + 332 + 10 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 810475269696 + 1292537062404 = 900264^2 + 1136898^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1009771 + ... + 2285970.

Almost surely, 22103012332100 is an apocalyptic number.

2103012332100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2103012332100 is an abundant number, since it is smaller than the sum of its proper divisors (4498062277120).

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

2103012332100 is a wasteful number, since it uses less digits than its factorization.

2103012332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3296470 (or 3296460 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2103012332100 its reverse (12332103012), we get a palindrome (2115344435112).

The spelling of 2103012332100 in words is "two trillion, one hundred three billion, twelve million, three hundred thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 709 900 1418 2127 2836 3545 4254 6381 7090 8508 10635 12762 14180 17725 21270 25524 31905 35450 42540 53175 63810 70900 106350 127620 159525 212700 319050 638100 3295741 6591482 9887223 13182964 16478705 19774446 29661669 32957410 39548892 49436115 59323338 65914820 82393525 98872230 118646676 148308345 164787050 197744460 247180575 296616690 329574100 494361150 593233380 741541725 988722300 1483083450 2336680369 2966166900 4673360738 7010041107 9346721476 11683401845 14020082214 21030123321 23366803690 28040164428 35050205535 42060246642 46733607380 58417009225 70100411070 84120493284 105150616605 116834018450 140200822140 175251027675 210301233210 233668036900 350502055350 420602466420 525753083025 701004110700 1051506166050 2103012332100