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1010222211222 = 2327371048720663
BaseRepresentation
bin11101011001101011110…
…11111010000010010110
310120120120010022120002200
432230311323322002112
5113022413341224342
62052031211545330
7132662151054060
oct16546573720226
93516503276080
101010222211222
1135a484113544
1214395545b246
1374357019033
1436c75cd0730
151b428db994c
hexeb35efa096

1010222211222 has 96 divisors (see below), whose sum is σ = 2569480123392. Its totient is φ = 280793604672.

The previous prime is 1010222211209. The next prime is 1010222211241. The reversal of 1010222211222 is 2221122220101.

It is a happy number.

1010222211222 is a `hidden beast` number, since 1 + 0 + 10 + 222 + 211 + 222 = 666.

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 = 1010222211195 and 1010222211204.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 48880063 + ... + 48900725.

It is an arithmetic number, because the mean of its divisors is an integer number (26765417952).

Almost surely, 21010222211222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010222211222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284740061696).

1010222211222 is an abundant number, since it is smaller than the sum of its proper divisors (1559257912170).

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

1010222211222 is a wasteful number, since it uses less digits than its factorization.

1010222211222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31202 (or 31199 counting only the distinct ones).

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

Adding to 1010222211222 its reverse (2221122220101), we get a palindrome (3231344431323).

The spelling of 1010222211222 in words is "one trillion, ten billion, two hundred twenty-two million, two hundred eleven thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 63 74 111 126 222 259 333 518 666 777 1554 2331 4662 10487 20663 20974 31461 41326 61989 62922 73409 94383 123978 144641 146818 185967 188766 220227 289282 371934 388019 433923 440454 660681 764531 776038 867846 1164057 1301769 1321362 1529062 2293593 2328114 2603538 2716133 3492171 4587186 5351717 5432266 6880779 6984342 8148399 10703434 13761558 16055151 16296798 24445197 32110302 48165453 48890394 96330906 216692881 433385762 650078643 1300157286 1516850167 1950235929 3033700334 3900471858 4550550501 8017636597 9101101002 13651651503 16035273194 24052909791 27303303006 48105819582 56123456179 72158729373 112246912358 144317458746 168370368537 336740737074 505111105611 1010222211222