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4101213204033 = 31137211157110133
BaseRepresentation
bin111011101011100011010…
…110110010111001000001
3112112001221121012012020120
4323223203112302321001
51014143241040012113
612420023224130453
7602205613022451
oct73534326627101
915461847165216
104101213204033
111341350a31930
12562a14006a29
13239986a7368a
141026dd569d61
1571a3698ca23
hex3bae35b2e41

4101213204033 has 64 divisors (see below), whose sum is σ = 6160190413824. Its totient is φ = 2405174688000.

The previous prime is 4101213204029. The next prime is 4101213204047. The reversal of 4101213204033 is 3304023121014.

It is a happy number.

It is not a de Polignac number, because 4101213204033 - 22 = 4101213204029 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4101213203994 and 4101213204012.

It is not an unprimeable number, because it can be changed into a prime (4101213204233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 404733235 + ... + 404743367.

It is an arithmetic number, because the mean of its divisors is an integer number (96252975216).

Almost surely, 24101213204033 is an apocalyptic number.

It is an amenable number.

4101213204033 is a deficient number, since it is larger than the sum of its proper divisors (2058977209791).

4101213204033 is a wasteful number, since it uses less digits than its factorization.

4101213204033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11966.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 4101213204033 its reverse (3304023121014), we get a palindrome (7405236325047).

The spelling of 4101213204033 in words is "four trillion, one hundred one billion, two hundred thirteen million, two hundred four thousand, thirty-three".

Divisors: 1 3 11 33 37 111 211 407 633 1221 1571 2321 4713 6963 7807 10133 17281 23421 30399 51843 58127 85877 111463 174381 257631 331481 334389 374921 639397 994443 1124763 1918191 2138063 3646291 4124131 6414189 10938873 12264797 12372393 15918943 23518693 36794391 47756829 70556079 79108331 134912767 175108373 237324993 404738301 525325119 589000891 870191641 1767002673 2610574923 3358896973 6479009801 10076690919 19437029403 36947866703 110843600109 124279188001 372837564003 1367071068011 4101213204033