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100212212010222 = 233131160091230529
BaseRepresentation
bin10110110010010001111001…
…010011001000110011101110
3111010211012020100122121111000
4112302101321103020303232
5101113334102233311342
6553044504334341130
730052044014361504
oct2662217123106356
9433735210577430
10100212212010222
1129a26840175404
12b2a596b05a7a6
1343bbc814ca770
141aa6422b3c674
15b8bb39de244c
hex5b24794c8cee

100212212010222 has 64 divisors (see below), whose sum is σ = 239826359304000. Its totient is φ = 30834235920384.

The previous prime is 100212212010161. The next prime is 100212212010241. The reversal of 100212212010222 is 222010212212001.

It is a happy number.

100212212010222 is a `hidden beast` number, since 1 + 0 + 0 + 21 + 221 + 201 + 0 + 222 = 666.

100212212010222 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100212212010195 and 100212212010204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80823054 + ... + 82053582.

It is an arithmetic number, because the mean of its divisors is an integer number (3747286864125).

Almost surely, 2100212212010222 is an apocalyptic number.

100212212010222 is an abundant number, since it is smaller than the sum of its proper divisors (139614147293778).

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

100212212010222 is a wasteful number, since it uses less digits than its factorization.

100212212010222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346562 (or 1346556 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 100212212010222 its reverse (222010212212001), we get a palindrome (322222424222223).

The spelling of 100212212010222 in words is "one hundred trillion, two hundred twelve billion, two hundred twelve million, ten thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 116009 232018 348027 696054 1044081 1230529 1508117 2088162 2461058 3016234 3132243 3691587 4524351 6264486 7383174 9048702 11074761 13573053 15996877 22149522 27146106 31993754 33224283 40719159 47990631 66448566 81438318 95981262 143971893 287943786 431915679 863831358 142752438761 285504877522 428257316283 856514632566 1284771948849 1855781703893 2569543897698 3711563407786 3854315846547 5567345111679 7708631693094 11134690223358 16702035335037 33404070670074 50106106005111 100212212010222