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220122100100 = 22527859366077
BaseRepresentation
bin1100110100000001001…
…1001011000110000100
3210001011200120021121002
43031000103023012010
512101302224200400
6245042300312432
721621554656610
oct3150023130604
9701150507532
10220122100100
11853982068a1
12367b2542718
13179b00a7896
14a9226ac340
155ad4caced5
hex33404cb184

220122100100 has 72 divisors (see below), whose sum is σ = 546539810880. Its totient is φ = 75382369920.

The previous prime is 220122100073. The next prime is 220122100103. The reversal of 220122100100 is 1001221022.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (220122100103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 418262 + ... + 784338.

Almost surely, 2220122100100 is an apocalyptic number.

220122100100 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 220122100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273269905440).

220122100100 is an abundant number, since it is smaller than the sum of its proper divisors (326417710780).

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

220122100100 is a wasteful number, since it uses less digits than its factorization.

220122100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366957 (or 366950 counting only the distinct ones).

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

Adding to 220122100100 its reverse (1001221022), we get a palindrome (221123321122).

The spelling of 220122100100 in words is "two hundred twenty billion, one hundred twenty-two million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 859 1718 3436 4295 6013 8590 12026 17180 21475 24052 30065 42950 60130 85900 120260 150325 300650 366077 601300 732154 1464308 1830385 2562539 3660770 5125078 7321540 9151925 10250156 12812695 18303850 25625390 36607700 51250780 64063475 128126950 256253900 314460143 628920286 1257840572 1572300715 2201221001 3144601430 4402442002 6289202860 7861503575 8804884004 11006105005 15723007150 22012210010 31446014300 44024420020 55030525025 110061050050 220122100100