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2242313020101 = 371117356109727
BaseRepresentation
bin100000101000010100010…
…001010110001011000101
321221100210122112200001010
4200220110101112023011
5243214224113120401
64434034313552433
7321000415122510
oct40502421261305
97840718480033
102242313020101
11794a61274290
123026aa115719
131335abbb933b
147a7583d9d77
153d4db02ced6
hex20a144562c5

2242313020101 has 32 divisors (see below), whose sum is σ = 3749027586048. Its totient is φ = 1158104744640.

The previous prime is 2242313020099. The next prime is 2242313020127. The reversal of 2242313020101 is 1010203132422.

It is not a de Polignac number, because 2242313020101 - 21 = 2242313020099 is a prime.

It is a super-2 number, since 2×22423130201012 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242313020141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28014901 + ... + 28094826.

It is an arithmetic number, because the mean of its divisors is an integer number (117157112064).

Almost surely, 22242313020101 is an apocalyptic number.

2242313020101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2242313020101 is a deficient number, since it is larger than the sum of its proper divisors (1506714565947).

2242313020101 is a wasteful number, since it uses less digits than its factorization.

2242313020101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56109921.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 2242313020101 its reverse (1010203132422), we get a palindrome (3252516152523).

The spelling of 2242313020101 in words is "two trillion, two hundred forty-two billion, three hundred thirteen million, twenty thousand, one hundred one".

Divisors: 1 3 7 11 21 33 77 173 231 519 1211 1903 3633 5709 13321 39963 56109727 168329181 392768089 617206997 1178304267 1851620991 4320448979 9706982771 12961346937 29120948313 67948879397 106776810481 203846638191 320330431443 747437673367 2242313020101