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22013320100 = 22523161116411
BaseRepresentation
bin10100100000000110…
…001001101110100100
32002211010221112012212
4110200012021232210
5330040402220400
614040205502552
71406340063542
oct244006115644
962733845185
1022013320100
119376a44232
124324271a58
1320ca836ac5
1410cb84ad92
1588c8b0335
hex520189ba4

22013320100 has 72 divisors (see below), whose sum is σ = 50118625536. Its totient is φ = 8381520000.

The previous prime is 22013320099. The next prime is 22013320123. The reversal of 22013320100 is 102331022.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130895 + ... + 247305.

Almost surely, 222013320100 is an apocalyptic number.

22013320100 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 22013320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25059312768).

22013320100 is an abundant number, since it is smaller than the sum of its proper divisors (28105305436).

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

22013320100 is a wasteful number, since it uses less digits than its factorization.

22013320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116517 (or 116510 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 22013320100 its reverse (102331022), we get a palindrome (22115651122).

The spelling of 22013320100 in words is "twenty-two billion, thirteen million, three hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 61 62 100 122 124 155 244 305 310 610 620 775 1220 1525 1550 1891 3050 3100 3782 6100 7564 9455 18910 37820 47275 94550 116411 189100 232822 465644 582055 1164110 2328220 2910275 3608741 5820550 7101071 7217482 11641100 14202142 14434964 18043705 28404284 35505355 36087410 71010710 72174820 90218525 142021420 177526775 180437050 220133201 355053550 360874100 440266402 710107100 880532804 1100666005 2201332010 4402664020 5503330025 11006660050 22013320100