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1123144422201 = 35175910743067
BaseRepresentation
bin10000010110000000100…
…111111101001100111001
310222101000212101020100000
4100112000213331030321
5121400144433002301
62215544310503213
7144100365033054
oct20260047751471
93871025336300
101123144422201
113a3360822a4a
1216180a964b09
1381bb1a62559
143c50922ba9b
151e3377dc786
hex105809fd339

1123144422201 has 96 divisors (see below), whose sum is σ = 1828536353280. Its totient is φ = 686283238656.

The previous prime is 1123144422149. The next prime is 1123144422271. The reversal of 1123144422201 is 1022244413211.

1123144422201 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 14 + 442 + 2 + 201 = 666.

It is not a de Polignac number, because 1123144422201 - 27 = 1123144422073 is a prime.

It is a super-2 number, since 2×11231444222012 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1123144422271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26057470 + ... + 26100536.

It is an arithmetic number, because the mean of its divisors is an integer number (19047253680).

Almost surely, 21123144422201 is an apocalyptic number.

It is an amenable number.

1123144422201 is a deficient number, since it is larger than the sum of its proper divisors (705391931079).

1123144422201 is a wasteful number, since it uses less digits than its factorization.

1123144422201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43265 (or 43253 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 1123144422201 its reverse (1022244413211), we get a palindrome (2145388835412).

The spelling of 1123144422201 in words is "one trillion, one hundred twenty-three billion, one hundred forty-four million, four hundred twenty-two thousand, two hundred one".

Divisors: 1 3 9 17 27 51 59 81 107 153 177 243 321 459 531 963 1003 1377 1593 1819 2889 3009 4131 4779 5457 6313 8667 9027 14337 16371 18939 26001 27081 43067 49113 56817 81243 107321 129201 147339 170451 243729 321963 387603 442017 511353 732139 965889 1162809 1534059 2196417 2540953 2897667 3488427 4608169 6589251 7622859 8693001 10465281 13824507 19767753 22868577 26079003 41473521 43196201 59303259 68605731 78338873 124420563 129588603 177909777 205817193 235016619 271881971 373261689 388765809 617451579 705049857 815645913 1119785067 1166297427 2115149571 2446937739 3498892281 4621993507 6345448713 7340813217 10496676843 13865980521 19036346139 22022439651 41597941563 66067318953 124793824689 374381474067 1123144422201