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20220100001000 = 2353142315439209
BaseRepresentation
bin1001001100011110110111…
…11000001011110011101000
32122121000121112110000222122
410212033123320023303220
510122241231100013000
6111000552525010412
74154565633120614
oct446173370136350
978530545400878
1020220100001000
11649632934a509
12232695a6b3a08
13b38993921913
144dc92da16344
15250e87c2b085
hex1263dbe0bce8

20220100001000 has 128 divisors (see below), whose sum is σ = 47384114918400. Its totient is φ = 8076241036800.

The previous prime is 20220100000963. The next prime is 20220100001039. The reversal of 20220100001000 is 10000102202.

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 2195684396 + ... + 2195693604.

It is an arithmetic number, because the mean of its divisors is an integer number (370188397800).

Almost surely, 220220100001000 is an apocalyptic number.

20220100001000 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 20220100001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23692057459200).

20220100001000 is an abundant number, since it is smaller than the sum of its proper divisors (27164014917400).

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

20220100001000 is a wasteful number, since it uses less digits than its factorization.

20220100001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12196 (or 12182 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 20220100001000 its reverse (10000102202), we get a palindrome (20230100103202).

The spelling of 20220100001000 in words is "twenty trillion, two hundred twenty billion, one hundred million, one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1423 1543 2846 3086 5692 6172 7115 7715 9209 11384 12344 14230 15430 18418 28460 30860 35575 36836 38575 46045 56920 61720 71150 73672 77150 92090 142300 154300 177875 184180 192875 230225 284600 308600 355750 368360 385750 460450 711500 771500 920900 1151125 1423000 1543000 1841800 2195689 2302250 4391378 4604500 8782756 9209000 10978445 13104407 14209487 17565512 21956890 26208814 28418974 43913780 52417628 54892225 56837948 65522035 71047435 87827560 104835256 109784450 113675896 131044070 142094870 219568900 262088140 274461125 284189740 327610175 355237175 439137800 524176280 548922250 568379480 655220350 710474350 1097844500 1310440700 1420948700 1638050875 1776185875 2195689000 2620881400 2841897400 3276101750 3552371750 6552203500 7104743500 13104407000 14209487000 20220100001 40440200002 80880400004 101100500005 161760800008 202201000010 404402000020 505502500025 808804000040 1011005000050 2022010000100 2527512500125 4044020000200 5055025000250 10110050000500 20220100001000