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102122010122 = 211171947305771
BaseRepresentation
bin101111100011011110…
…0100011011000001010
3100202121001120121220012
41133012330203120022
53133121213310442
6114525245031522
710243451522636
oct1370674433012
9322531517805
10102122010122
113a345237780
12179605555a2
139826335932
144d2abd9dc6
1529ca69d582
hex17c6f2360a

102122010122 has 64 divisors (see below), whose sum is σ = 190214645760. Its totient is φ = 40508409600.

The previous prime is 102122010101. The next prime is 102122010143. The reversal of 102122010122 is 221010221201.

102122010122 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (102122010101) and next prime (102122010143).

It is a junction number, because it is equal to n+sod(n) for n = 102122010097 and 102122010106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181097 + ... + 486867.

It is an arithmetic number, because the mean of its divisors is an integer number (2972103840).

Almost surely, 2102122010122 is an apocalyptic number.

102122010122 is a deficient number, since it is larger than the sum of its proper divisors (88092635638).

102122010122 is a wasteful number, since it uses less digits than its factorization.

102122010122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305867.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102122010122 its reverse (221010221201), we get a palindrome (323132231323).

The spelling of 102122010122 in words is "one hundred two billion, one hundred twenty-two million, ten thousand, one hundred twenty-two".

Divisors: 1 2 11 17 19 22 34 38 47 94 187 209 323 374 418 517 646 799 893 1034 1598 1786 3553 7106 8789 9823 15181 17578 19646 30362 166991 305771 333982 611542 3363481 5198107 5809649 6726962 10396214 11619298 14371237 28742474 57179177 63906139 98764033 114358354 127812278 158083607 197528066 244311029 273053503 316167214 488622058 546107006 1086404363 2172808726 2687421319 3003588533 4641909551 5374842638 6007177066 9283819102 51061005061 102122010122