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20202022001100 = 223522113111026197
BaseRepresentation
bin1001001011111101001100…
…10110000101100111001100
32122112021221122111111012210
410211332212112011213030
510121442220113013400
6110544403014430420
74153355636502552
oct445764626054714
978467848444183
1020202022001100
1164896a1832625
122323354362410
13b370724b1464
144dbad6ac3bd2
1525077aab6950
hex125fa65859cc

20202022001100 has 144 divisors (see below), whose sum is σ = 58917097564416. Its totient is φ = 5344428768000.

The previous prime is 20202022001059. The next prime is 20202022001101. The reversal of 20202022001100 is 110022020202.

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

It is not an unprimeable number, because it can be changed into a prime (20202022001101) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 19173202 + ... + 20199398.

It is an arithmetic number, because the mean of its divisors is an integer number (409146510864).

Almost surely, 220202022001100 is an apocalyptic number.

20202022001100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20202022001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29458548782208).

20202022001100 is an abundant number, since it is smaller than the sum of its proper divisors (38715075563316).

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

20202022001100 is a wasteful number, since it uses less digits than its factorization.

20202022001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026736 (or 1026729 counting only the distinct ones).

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

Adding to 20202022001100 its reverse (110022020202), we get a palindrome (20312044021302).

The spelling of 20202022001100 in words is "twenty trillion, two hundred two billion, twenty-two million, one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 211 300 311 422 622 633 844 933 1055 1244 1266 1555 1866 2110 2532 3110 3165 3732 4220 4665 5275 6220 6330 7775 9330 10550 12660 15550 15825 18660 21100 23325 31100 31650 46650 63300 65621 93300 131242 196863 262484 328105 393726 656210 787452 984315 1026197 1312420 1640525 1968630 2052394 3078591 3281050 3937260 4104788 4921575 5130985 6157182 6562100 9843150 10261970 12314364 15392955 19686300 20523940 25654925 30785910 51309850 61571820 76964775 102619700 153929550 216527567 307859100 319147267 433055134 638294534 649582701 866110268 957441801 1082637835 1276589068 1299165402 1595736335 1914883602 2165275670 2598330804 3191472670 3247913505 3829767204 4330551340 4787209005 5413189175 6382945340 6495827010 7978681675 9574418010 10826378350 12991654020 15957363350 16239567525 19148836020 21652756700 23936045025 31914726700 32479135050 47872090050 64958270100 67340073337 95744180100 134680146674 202020220011 269360293348 336700366685 404040440022 673400733370 808080880044 1010101100055 1346801466740 1683501833425 2020202200110 3367003666850 4040404400220 5050505500275 6734007333700 10101011000550 20202022001100