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20200022001100 = 22521721152760637
BaseRepresentation
bin1001001011111001011110…
…01000101100010111001100
32122112002210021010221222201
410211330233020230113030
510121424121113013400
6110543432331451244
74153255243001014
oct445745710542714
978462707127881
1020200022001100
116488865895a67
122322a965b6b24
13b36b140370c6
144db987228c44
152506b020406a
hex125f2f22c5cc

20200022001100 has 108 divisors (see below), whose sum is σ = 46569003604816. Its totient is φ = 7603929031680.

The previous prime is 20200022001043. The next prime is 20200022001193. The reversal of 20200022001100 is 110022000202.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 333099982 + ... + 333160618.

Almost surely, 220200022001100 is an apocalyptic number.

20200022001100 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 20200022001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23284501802408).

20200022001100 is an abundant number, since it is smaller than the sum of its proper divisors (26368981603716).

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

20200022001100 is a wasteful number, since it uses less digits than its factorization.

20200022001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72212 (or 72188 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 20200022001100 its reverse (110022000202), we get a palindrome (20310044001302).

The spelling of 20200022001100 in words is "twenty trillion, two hundred billion, twenty-two million, one thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 289 340 425 578 850 1156 1445 1700 2890 5780 7225 11527 14450 23054 28900 46108 57635 60637 115270 121274 195959 230540 242548 288175 303185 391918 576350 606370 783836 979795 1030829 1152700 1212740 1515925 1959590 2061658 3031850 3331303 3919180 4123316 4898975 5154145 6063700 6662606 9797950 10308290 13325212 16656515 17524093 19595900 20616580 25770725 33313030 35048186 51541450 66626060 70096372 83282575 87620465 103082900 166565150 175240930 333130300 350481860 438102325 698962699 876204650 1397925398 1752409300 2795850796 3494813495 6989626990 11882365883 13979253980 17474067475 23764731766 34948134950 47529463532 59411829415 69896269900 118823658830 202000220011 237647317660 297059147075 404000440022 594118294150 808000880044 1010001100055 1188236588300 2020002200110 4040004400220 5050005500275 10100011000550 20200022001100