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101221000122 = 231137157264013
BaseRepresentation
bin101111001000100111…
…1011110001110111010
3100200021021011120112110
41132101033132032322
53124300034000442
6114300021153150
710212231206424
oct1362117361672
9320237146473
10101221000122
1139a22685610
121774a85b7b6
139711777618
144c83299814
15297652269c
hex17913de3ba

101221000122 has 64 divisors (see below), whose sum is σ = 228260168064. Its totient is φ = 29653827840.

The previous prime is 101221000117. The next prime is 101221000163. The reversal of 101221000122 is 221000122101.

It is a junction number, because it is equal to n+sod(n) for n = 101221000098 and 101221000107.

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, 251388 + ... + 515400.

It is an arithmetic number, because the mean of its divisors is an integer number (3566565126).

Almost surely, 2101221000122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101221000122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114130084032).

101221000122 is an abundant number, since it is smaller than the sum of its proper divisors (127039167942).

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

101221000122 is a wasteful number, since it uses less digits than its factorization.

101221000122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264223.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101221000122 its reverse (221000122101), we get a palindrome (322221122223).

It can be divided in two parts, 101 and 221000122, that multiplied together give a palindrome (22321012322).

The spelling of 101221000122 in words is "one hundred one billion, two hundred twenty-one million, one hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 11 22 33 37 66 74 111 157 222 314 407 471 814 942 1221 1727 2442 3454 5181 5809 10362 11618 17427 34854 63899 127798 191697 264013 383394 528026 792039 1584078 2904143 5808286 8712429 9768481 17424858 19536962 29305443 41450041 58610886 82900082 107453291 124350123 214906582 248700246 322359873 455950451 644719746 911900902 1367851353 1533651517 2735702706 3067303034 4600954551 9201909102 16870166687 33740333374 50610500061 101221000122