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2201112022100 = 2252238271157201
BaseRepresentation
bin100000000001111100100…
…000000000110001010100
321210102110021121010000012
4200001330200000301110
5242030334134201400
64403102113335352
7315011415326015
oct40017440006124
97712407533005
102201112022100
11779539398712
122b670bb67558
1312c744083294
147876a51d00c
153c3c8daed35
hex2007c800c54

2201112022100 has 72 divisors (see below), whose sum is σ = 4990114237248. Its totient is φ = 841145536000.

The previous prime is 2201112022063. The next prime is 2201112022121. The reversal of 2201112022100 is 12202111022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1323500 + ... + 2480700.

It is an arithmetic number, because the mean of its divisors is an integer number (69307142184).

Almost surely, 22201112022100 is an apocalyptic number.

2201112022100 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 2201112022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2495057118624).

2201112022100 is an abundant number, since it is smaller than the sum of its proper divisors (2789002215148).

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

2201112022100 is a wasteful number, since it uses less digits than its factorization.

2201112022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158065 (or 1158058 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2201112022100 its reverse (12202111022), we get a palindrome (2213314133122).

The spelling of 2201112022100 in words is "two trillion, two hundred one billion, one hundred twelve million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 827 1150 1654 2300 3308 4135 8270 16540 19021 20675 38042 41350 76084 82700 95105 190210 380420 475525 951050 1157201 1902100 2314402 4628804 5786005 11572010 23144020 26615623 28930025 53231246 57860050 106462492 115720100 133078115 266156230 532312460 665390575 957005227 1330781150 1914010454 2661562300 3828020908 4785026135 9570052270 19140104540 22011120221 23925130675 44022240442 47850261350 88044480884 95700522700 110055601105 220111202210 440222404420 550278005525 1100556011050 2201112022100