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22010220100 = 22521131719091
BaseRepresentation
bin10100011111111010…
…010100111001000100
32002210221010000211001
4110133322110321010
5330034104020400
614040015223044
71406301532621
oct243772247104
962727100731
1022010220100
119375217150
124323217a84
1320c9cbca9b
1410cb281348
1588c49ba6a
hex51fe94e44

22010220100 has 144 divisors (see below), whose sum is σ = 54548508672. Its totient is φ = 7635600000.

The previous prime is 22010220077. The next prime is 22010220149. The reversal of 22010220100 is 102201022.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2416555 + ... + 2425645.

It is an arithmetic number, because the mean of its divisors is an integer number (378809088).

Almost surely, 222010220100 is an apocalyptic number.

22010220100 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 22010220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27274254336).

22010220100 is an abundant number, since it is smaller than the sum of its proper divisors (32538288572).

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

22010220100 is a wasteful number, since it uses less digits than its factorization.

22010220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9218 (or 9211 counting only the distinct ones).

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

Adding to 22010220100 its reverse (102201022), we get a palindrome (22112421122).

It can be divided in two parts, 2 and 2010220100, that added together give a palindrome (2010220102).

The spelling of 22010220100 in words is "twenty-two billion, ten million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 31 44 50 55 62 71 100 110 124 142 155 220 275 284 310 341 355 550 620 682 710 775 781 1100 1364 1420 1550 1562 1705 1775 2201 3100 3124 3410 3550 3905 4402 6820 7100 7810 8525 8804 9091 11005 15620 17050 18182 19525 22010 24211 34100 36364 39050 44020 45455 48422 55025 78100 90910 96844 100001 110050 121055 181820 200002 220100 227275 242110 281821 400004 454550 484220 500005 563642 605275 645461 909100 1000010 1127284 1210550 1290922 1409105 2000020 2421100 2500025 2581844 2818210 3100031 3227305 5000050 5636420 6200062 6454610 7045525 7100071 10000100 12400124 12909220 14091050 14200142 15500155 16136525 20009291 28182100 28400284 31000310 32273050 35500355 40018582 62000620 64546100 71000710 77500775 80037164 100046455 142001420 155001550 177501775 200092910 220102201 310003100 355003550 400185820 440204402 500232275 710007100 880408804 1000464550 1100511005 2000929100 2201022010 4402044020 5502555025 11005110050 22010220100