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1020000122200 = 235223422952433
BaseRepresentation
bin11101101011111001011…
…11101011010101011000
310121111210120011220100201
432311330233223111120
5113202430012402300
62100325342311544
7133456360662133
oct16657457532530
93544716156321
101020000122200
11363641528804
12145823b885b4
13752549b6c87
143752276121a
151b7ec50866a
hexed7cbeb558

1020000122200 has 96 divisors (see below), whose sum is σ = 2475241351200. Its totient is φ = 390161192960.

The previous prime is 1020000122189. The next prime is 1020000122209. The reversal of 1020000122200 is 22210000201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020000122209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19427184 + ... + 19479616.

It is an arithmetic number, because the mean of its divisors is an integer number (25783764075).

Almost surely, 21020000122200 is an apocalyptic number.

1020000122200 is a gapful number since it is divisible by the number (10) 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 1020000122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237620675600).

1020000122200 is an abundant number, since it is smaller than the sum of its proper divisors (1455241229000).

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

1020000122200 is a wasteful number, since it uses less digits than its factorization.

1020000122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56701 (or 56692 counting only the distinct ones).

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

Adding to 1020000122200 its reverse (22210000201), we get a palindrome (1042210122401).

It can be divided in two parts, 10200001 and 22200, that added together give a palindrome (10222201).

The spelling of 1020000122200 in words is "one trillion, twenty billion, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 460 575 920 1150 2300 4229 4600 8458 16916 21145 33832 42290 52433 84580 97267 104866 105725 169160 194534 209732 211450 262165 389068 419464 422900 486335 524330 778136 845800 972670 1048660 1205959 1310825 1945340 2097320 2411918 2431675 2621650 3890680 4823836 4863350 5243300 6029795 9647672 9726700 10486600 12059590 19453400 24119180 30148975 48238360 60297950 120595900 221739157 241191800 443478314 886956628 1108695785 1773913256 2217391570 4434783140 5100000611 5543478925 8869566280 10200001222 11086957850 20400002444 22173915700 25500003055 40800004888 44347831400 51000006110 102000012220 127500015275 204000024440 255000030550 510000061100 1020000122200