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100020220000 = 25547368507
BaseRepresentation
bin101110100100110101…
…0110111000001100000
3100120011120200121212121
41131021222313001200
53114320134020000
6113540524234024
710140410561641
oct1351152670140
9316146617777
10100020220000
1139466896748
121747469b914
13957ca6c03c
144baba056c8
152905dd0b1a
hex1749ab7060

100020220000 has 120 divisors (see below), whose sum is σ = 249439135176. Its totient is φ = 39459456000.

The previous prime is 100020219983. The next prime is 100020220007. The reversal of 100020220000 is 22020001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100020220007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1425747 + ... + 1494253.

Almost surely, 2100020220000 is an apocalyptic number.

100020220000 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 100020220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124719567588).

100020220000 is an abundant number, since it is smaller than the sum of its proper divisors (149418915176).

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

100020220000 is an frugal number, since it uses more digits than its factorization.

100020220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68610 (or 68587 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 100020220000 its reverse (22020001), we get a palindrome (100042240001).

The spelling of 100020220000 in words is "one hundred billion, twenty million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 73 80 100 125 146 160 200 250 292 365 400 500 584 625 730 800 1000 1168 1250 1460 1825 2000 2336 2500 2920 3650 4000 5000 5840 7300 9125 10000 11680 14600 18250 20000 29200 36500 45625 58400 68507 73000 91250 137014 146000 182500 274028 292000 342535 365000 548056 685070 730000 1096112 1370140 1460000 1712675 2192224 2740280 3425350 5001011 5480560 6850700 8563375 10002022 10961120 13701400 17126750 20004044 25005055 27402800 34253500 40008088 42816875 50010110 54805600 68507000 80016176 85633750 100020220 125025275 137014000 160032352 171267500 200040440 250050550 274028000 342535000 400080880 500101100 625126375 685070000 800161760 1000202200 1250252750 1370140000 2000404400 2500505500 3125631875 4000808800 5001011000 6251263750 10002022000 12502527500 20004044000 25005055000 50010110000 100020220000