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22121102000 = 245399111161
BaseRepresentation
bin10100100110100001…
…010011101010110000
32010002122202102012002
4110212201103222300
5330301000231000
614055015553132
71412116156514
oct244641235260
963078672162
1022121102000
119421870388
12435438b7a8
132116c7368a
1410dbca6144
158970a08d5
hex526853ab0

22121102000 has 80 divisors (see below), whose sum is σ = 53547596544. Its totient is φ = 8838720000.

The previous prime is 22121101987. The next prime is 22121102027. The reversal of 22121102000 is 20112122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1976420 + ... + 1987580.

Almost surely, 222121102000 is an apocalyptic number.

22121102000 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 22121102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26773798272).

22121102000 is an abundant number, since it is smaller than the sum of its proper divisors (31426494544).

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

22121102000 is a wasteful number, since it uses less digits than its factorization.

22121102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12175 (or 12159 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 22121102000 its reverse (20112122), we get a palindrome (22141214122).

The spelling of 22121102000 in words is "twenty-two billion, one hundred twenty-one million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 991 1000 1982 2000 3964 4955 7928 9910 11161 15856 19820 22322 24775 39640 44644 49550 55805 79280 89288 99100 111610 123875 178576 198200 223220 247750 279025 396400 446440 495500 558050 892880 991000 1116100 1395125 1982000 2232200 2790250 4464400 5580500 11060551 11161000 22121102 22322000 44242204 55302755 88484408 110605510 176968816 221211020 276513775 442422040 553027550 884844080 1106055100 1382568875 2212110200 2765137750 4424220400 5530275500 11060551000 22121102000