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2100100322100 = 22352111933494423
BaseRepresentation
bin11110100011110111101…
…110111101001100110100
321102202201121021002021010
4132203313232331030310
5233402001140301400
64244434530152220
7304504305126564
oct36436756751464
97382647232233
102100100322100
1173a713978410
1229b01b422670
13123066a9b0b1
1473906d86da4
1539965e32450
hex1e8f7bbd334

2100100322100 has 144 divisors (see below), whose sum is σ = 6977558407680. Its totient is φ = 482319676800.

The previous prime is 2100100322069. The next prime is 2100100322101. The reversal of 2100100322100 is 12230010012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100100322101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16684512 + ... + 16809911.

It is an arithmetic number, because the mean of its divisors is an integer number (48455266720).

Almost surely, 22100100322100 is an apocalyptic number.

2100100322100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100100322100 is an abundant number, since it is smaller than the sum of its proper divisors (4877458085580).

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

2100100322100 is a wasteful number, since it uses less digits than its factorization.

2100100322100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33494470 (or 33494463 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 2100100322100 its reverse (12230010012), we get a palindrome (2112330332112).

The spelling of 2100100322100 in words is "two trillion, one hundred billion, one hundred million, three hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 25 30 33 38 44 50 55 57 60 66 75 76 95 100 110 114 132 150 165 190 209 220 228 275 285 300 330 380 418 475 550 570 627 660 825 836 950 1045 1100 1140 1254 1425 1650 1900 2090 2508 2850 3135 3300 4180 5225 5700 6270 10450 12540 15675 20900 31350 62700 33494423 66988846 100483269 133977692 167472115 200966538 334944230 368438653 401933076 502416345 636394037 669888460 736877306 837360575 1004832690 1105315959 1272788074 1473754612 1674721150 1842193265 1909182111 2009665380 2210631918 2512081725 2545576148 3181970185 3349442300 3684386530 3818364222 4421263836 5024163450 5526579795 6363940370 7000334407 7368773060 7636728444 9210966325 9545910555 10048326900 11053159590 12727880740 14000668814 15909850925 18421932650 19091821110 21001003221 22106319180 27632898975 28001337628 31819701850 35001672035 36843865300 38183642220 42002006442 47729552775 55265797950 63639403700 70003344070 84004012884 95459105550 105005016105 110531595900 140006688140 175008360175 190918211100 210010032210 350016720350 420020064420 525025080525 700033440700 1050050161050 2100100322100