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10001221212222 = 2323761557441971
BaseRepresentation
bin1001000110001001011100…
…1111001101100000111110
31022102002220022011021001200
42101202113033031200332
52302330000112242342
633134255251520330
72051364404440632
oct221422717154076
938362808137050
1010001221212222
113206548708919
1211563788b90a6
1357715a168ac6
142680c13c0dc2
1512524c26d94c
hex918973cd83e

10001221212222 has 96 divisors (see below), whose sum is σ = 22660466628384. Its totient is φ = 3184729747200.

The previous prime is 10001221212163. The next prime is 10001221212247. The reversal of 10001221212222 is 22221212210001.

It is a happy number.

10001221212222 is a `hidden beast` number, since 10 + 0 + 0 + 1 + 221 + 212 + 222 = 666.

10001221212222 is digitally balanced in base 2, 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 = 10001221212195 and 10001221212204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22407697 + ... + 22849667.

It is an arithmetic number, because the mean of its divisors is an integer number (236046527379).

Almost surely, 210001221212222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10001221212222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11330233314192).

10001221212222 is an abundant number, since it is smaller than the sum of its proper divisors (12659245416162).

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

10001221212222 is a wasteful number, since it uses less digits than its factorization.

10001221212222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442634 (or 442631 counting only the distinct ones).

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

Adding to 10001221212222 its reverse (22221212210001), we get a palindrome (32222433422223).

The spelling of 10001221212222 in words is "ten trillion, one billion, two hundred twenty-one million, two hundred twelve thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 61 74 111 122 183 222 333 366 549 557 666 1098 1114 1671 2257 3342 4514 5013 6771 10026 13542 20313 20609 33977 40626 41218 61827 67954 101931 123654 185481 203862 305793 370962 441971 611586 883942 1257149 1325913 2514298 2651826 3771447 3977739 7542894 7955478 11314341 16352927 22628682 26960231 32705854 49058781 53920462 80880693 98117562 147176343 161761386 242642079 246177847 294352686 485284158 492355694 738533541 997528547 1477067082 1995057094 2215600623 2992585641 4431201246 5985171282 8977756923 9108580339 15016848667 17955513846 18217160678 27325741017 30033697334 45050546001 54651482034 81977223051 90101092002 135151638003 163954446102 270303276006 555623400679 1111246801358 1666870202037 3333740404074 5000610606111 10001221212222