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21222100101000 = 2335337191190091
BaseRepresentation
bin1001101001101001001111…
…01111001110011110001000
32210010210221122102001212110
410310310213233032132020
510240200330111213000
6113045144224342320
74320150265336161
oct464644757163610
983123848361773
1021222100101000
116842273280107
122468b9a4749a0
13bac30a39b186
14535225942768
1526c07ed74850
hex134d27bce788

21222100101000 has 128 divisors (see below), whose sum is σ = 68002491922560. Its totient is φ = 5506274592000.

The previous prime is 21222100100977. The next prime is 21222100101019. The reversal of 21222100101000 is 10100122212.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95484046 + ... + 95706045.

It is an arithmetic number, because the mean of its divisors is an integer number (531269468145).

Almost surely, 221222100101000 is an apocalyptic number.

21222100101000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21222100101000 is an abundant number, since it is smaller than the sum of its proper divisors (46780391821560).

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

21222100101000 is a wasteful number, since it uses less digits than its factorization.

21222100101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191190152 (or 191190138 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21222100101000 its reverse (10100122212), we get a palindrome (21232200223212).

The spelling of 21222100101000 in words is "twenty-one trillion, two hundred twenty-two billion, one hundred million, one hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 37 40 50 60 74 75 100 111 120 125 148 150 185 200 222 250 296 300 370 375 444 500 555 600 740 750 888 925 1000 1110 1480 1500 1850 2220 2775 3000 3700 4440 4625 5550 7400 9250 11100 13875 18500 22200 27750 37000 55500 111000 191190091 382380182 573570273 764760364 955950455 1147140546 1529520728 1911900910 2294281092 2867851365 3823801820 4588562184 4779752275 5735702730 7074033367 7647603640 9559504550 11471405460 14148066734 14339256825 19119009100 21222100101 22942810920 23898761375 28296133468 28678513650 35370166835 38238018200 42444200202 47797522750 56592266936 57357027300 70740333670 71696284125 84888400404 95595045500 106110500505 114714054600 141480667340 143392568250 169776800808 176850834175 191190091000 212221001010 282961334680 286785136500 353701668350 424442002020 530552502525 573570273000 707403336700 848884004040 884254170875 1061105005050 1414806673400 1768508341750 2122210010100 2652762512625 3537016683500 4244420020200 5305525025250 7074033367000 10611050050500 21222100101000