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20100101022020 = 22523612339306253
BaseRepresentation
bin1001001000111111010110…
…11000011010000101000100
32122011112212121012022001202
410210133223120122011010
510113310001330201040
6110425505310242032
74143120145460135
oct444375330320504
978145777168052
1020100101022020
11644a450022508
12230764b1b6318
13b2a57ba04206
144d6bc8897c8c
1524ccb2dc8015
hex1247eb61a144

20100101022020 has 96 divisors (see below), whose sum is σ = 44786780962560. Its totient is φ = 7561141378560.

The previous prime is 20100101022017. The next prime is 20100101022049. The reversal of 20100101022020 is 2022010100102.

It is a happy number.

It is a super-2 number, since 2×201001010220202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20100101021992 and 20100101022010.

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, 65479214 + ... + 65785466.

It is an arithmetic number, because the mean of its divisors is an integer number (466528968360).

Almost surely, 220100101022020 is an apocalyptic number.

20100101022020 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 20100101022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22393390481280).

20100101022020 is an abundant number, since it is smaller than the sum of its proper divisors (24686679940540).

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

20100101022020 is a wasteful number, since it uses less digits than its factorization.

20100101022020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308685 (or 308683 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20100101022020 its reverse (2022010100102), we get a palindrome (22122111122122).

The spelling of 20100101022020 in words is "twenty trillion, one hundred billion, one hundred one million, twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 61 92 115 122 230 244 305 460 610 1220 1403 2339 2806 4678 5612 7015 9356 11695 14030 23390 28060 46780 53797 107594 142679 215188 268985 285358 306253 537970 570716 612506 713395 1075940 1225012 1426790 1531265 2853580 3062530 3281617 6125060 6563234 7043819 13126468 14087638 16408085 18681433 28175276 32816170 35219095 37362866 65632340 70438190 74725732 93407165 140876380 186814330 373628660 429672959 716325767 859345918 1432651534 1718691836 2148364795 2865303068 3581628835 4296729590 7163257670 8593459180 14326515340 16475492641 32950985282 43695871787 65901970564 82377463205 87391743574 164754926410 174783487148 218479358935 329509852820 436958717870 873917435740 1005005051101 2010010102202 4020020204404 5025025255505 10050050511010 20100101022020