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102022121028 = 22359310946349
BaseRepresentation
bin101111100000011111…
…1100000011001000100
3100202100002121201211010
41133000333200121010
53132420130333103
6114511320042220
710241126502042
oct1370077403104
9322302551733
10102022121028
113a2a3911603
1217933003370
13980b730769
144d1b837392
1529c1a1b903
hex17c0fe0644

102022121028 has 48 divisors (see below), whose sum is σ = 242169480000. Its totient is φ = 33419503488.

The previous prime is 102022121021. The next prime is 102022121059. The reversal of 102022121028 is 820121220201.

It is a junction number, because it is equal to n+sod(n) for n = 102022120995 and 102022121013.

It is not an unprimeable number, because it can be changed into a prime (102022121021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2177998 + ... + 2224346.

It is an arithmetic number, because the mean of its divisors is an integer number (5045197500).

Almost surely, 2102022121028 is an apocalyptic number.

It is an amenable number.

102022121028 is an abundant number, since it is smaller than the sum of its proper divisors (140147358972).

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

102022121028 is a wasteful number, since it uses less digits than its factorization.

102022121028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49524 (or 49522 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 102022121028 its reverse (820121220201), we get a palindrome (922143341229).

The spelling of 102022121028 in words is "one hundred two billion, twenty-two million, one hundred twenty-one thousand, twenty-eight".

Divisors: 1 2 3 4 6 12 59 118 177 236 354 708 3109 6218 9327 12436 18654 37308 46349 92698 139047 183431 185396 278094 366862 550293 556188 733724 1100586 2201172 2734591 5469182 8203773 10938364 16407546 32815092 144099041 288198082 432297123 576396164 864594246 1729188492 8501843419 17003686838 25505530257 34007373676 51011060514 102022121028