Search a number
-
+
20222100002100 = 22352376129865751
BaseRepresentation
bin1001001100100010100110…
…00101100101010100110100
32122121012202220210121201110
410212101103011211110310
510122304330100031400
6111001523211555020
74154666326625613
oct446212305452464
978535686717643
1020222100002100
116497165297987
12232721845ba70
13b38c22099619
144dca7d4b187a
152510535dde50
hex126453165534

20222100002100 has 144 divisors (see below), whose sum is σ = 61075701766016. Its totient is φ = 5160801600000.

The previous prime is 20222100002087. The next prime is 20222100002107. The reversal of 20222100002100 is 120000122202.

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 (20222100002107) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 14255776 + ... + 15609975.

Almost surely, 220222100002100 is an apocalyptic number.

20222100002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20222100002100 is an abundant number, since it is smaller than the sum of its proper divisors (40853601763916).

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

20222100002100 is a wasteful number, since it uses less digits than its factorization.

20222100002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29865866 (or 29865859 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20222100002100 its reverse (120000122202), we get a palindrome (20342100124302).

The spelling of 20222100002100 in words is "twenty trillion, two hundred twenty-two billion, one hundred million, two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 61 74 75 100 111 122 148 150 183 185 222 244 300 305 366 370 444 555 610 732 740 915 925 1110 1220 1525 1830 1850 2220 2257 2775 3050 3660 3700 4514 4575 5550 6100 6771 9028 9150 11100 11285 13542 18300 22570 27084 33855 45140 56425 67710 112850 135420 169275 225700 338550 677100 29865751 59731502 89597253 119463004 149328755 179194506 298657510 358389012 447986265 597315020 746643775 895972530 1105032787 1493287550 1791945060 1821810811 2210065574 2239931325 2986575100 3315098361 3643621622 4420131148 4479862650 5465432433 5525163935 6630196722 7287243244 8959725300 9109054055 10930864866 11050327870 13260393444 16575491805 18218108110 21861729732 22100655740 27327162165 27625819675 33150983610 36436216220 45545270275 54654324330 55251639350 66301967220 67407000007 82877459025 91090540550 109308648660 110503278700 134814000014 136635810825 165754918050 182181081100 202221000021 269628000028 273271621650 331509836100 337035000035 404442000042 546543243300 674070000070 808884000084 1011105000105 1348140000140 1685175000175 2022210000210 3370350000350 4044420000420 5055525000525 6740700000700 10111050001050 20222100002100