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10211213322 = 235101277751
BaseRepresentation
bin10011000001010001…
…01100000000001010
3222100122012101100000
421200220230000022
5131403032311242
64405125423430
7511020611142
oct114050540012
928318171300
1010211213322
11436aa66782
121b8b86ab76
13c6969c67b
146cc223922
153eb6cea4c
hex260a2c00a

10211213322 has 96 divisors (see below), whose sum is σ = 23285493504. Its totient is φ = 3353400000.

The previous prime is 10211213321. The next prime is 10211213357. The reversal of 10211213322 is 22331211201.

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 = 10211213295 and 10211213304.

It is not an unprimeable number, because it can be changed into a prime (10211213321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13596447 + ... + 13597197.

It is an arithmetic number, because the mean of its divisors is an integer number (242557224).

Almost surely, 210211213322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10211213322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11642746752).

10211213322 is an abundant number, since it is smaller than the sum of its proper divisors (13074280182).

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

10211213322 is a wasteful number, since it uses less digits than its factorization.

10211213322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10211213322 its reverse (22331211201), we get a palindrome (32542424523).

The spelling of 10211213322 in words is "ten billion, two hundred eleven million, two hundred thirteen thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 101 162 202 243 277 303 486 554 606 751 831 909 1502 1662 1818 2253 2493 2727 4506 4986 5454 6759 7479 8181 13518 14958 16362 20277 22437 24543 27977 40554 44874 49086 55954 60831 67311 75851 83931 121662 134622 151702 167862 182493 208027 227553 251793 364986 416054 455106 503586 624081 682659 755379 1248162 1365318 1510758 1872243 2047977 2266137 3744486 4095954 4532274 5616729 6143931 6798411 11233458 12287862 13596822 16850187 18431793 21010727 33700374 36863586 42021454 50550561 63032181 101101122 126064362 189096543 378193086 567289629 1134579258 1701868887 3403737774 5105606661 10211213322