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22121201100 = 22352379912011
BaseRepresentation
bin10100100110100001…
…101011110111001100
32010002122221110010110
4110212201223313030
5330301011413400
614055022040020
71412120051445
oct244641536714
963078843113
1022121201100
119421928889
124354419010
132116ca980b
1410dbcd02cc
158970bee50
hex52686bdcc

22121201100 has 144 divisors (see below), whose sum is σ = 65832897536. Its totient is φ = 5730912000.

The previous prime is 22121201099. The next prime is 22121201107. The reversal of 22121201100 is 110212122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (22121201107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10999095 + ... + 11001105.

Almost surely, 222121201100 is an apocalyptic number.

22121201100 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 22121201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32916448768).

22121201100 is an abundant number, since it is smaller than the sum of its proper divisors (43711696436).

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

22121201100 is a wasteful number, since it uses less digits than its factorization.

22121201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3056 (or 3049 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 22121201100 its reverse (110212122), we get a palindrome (22231413222).

The spelling of 22121201100 in words is "twenty-two billion, one hundred twenty-one million, two hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 991 1110 1850 1982 2011 2220 2775 2973 3700 3964 4022 4955 5550 5946 6033 8044 9910 10055 11100 11892 12066 14865 19820 20110 24132 24775 29730 30165 36667 40220 49550 50275 59460 60330 73334 74325 74407 99100 100550 110001 120660 146668 148650 148814 150825 183335 201100 220002 223221 297300 297628 301650 366670 372035 440004 446442 550005 603300 733340 744070 892884 916675 1100010 1116105 1488140 1833350 1860175 1992901 2200020 2232210 2750025 3666700 3720350 3985802 4464420 5500050 5580525 5978703 7440700 7971604 9964505 11000100 11161050 11957406 19929010 22322100 23914812 29893515 39858020 49822525 59787030 73737337 99645050 119574060 147474674 149467575 199290100 221212011 294949348 298935150 368686685 442424022 597870300 737373370 884848044 1106060055 1474746740 1843433425 2212120110 3686866850 4424240220 5530300275 7373733700 11060600550 22121201100