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102220032068 = 227112913038783
BaseRepresentation
bin101111100110011001…
…0011110100001000100
3100202211220000122201122
41133030302132201010
53133321312011233
6114543110013112
710246051636130
oct1371462364104
9322756018648
10102220032068
113a3955a8050
1217989347198
139840735c9b
144d39c343c0
1529d40b1d98
hex17ccc9e844

102220032068 has 96 divisors (see below), whose sum is σ = 230919413760. Its totient is φ = 38418791040.

The previous prime is 102220032067. The next prime is 102220032119. The reversal of 102220032068 is 860230022201.

It is not an unprimeable number, because it can be changed into a prime (102220032067) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11634005 + ... + 11642787.

It is an arithmetic number, because the mean of its divisors is an integer number (2405410560).

Almost surely, 2102220032068 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102220032068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115459706880).

102220032068 is an abundant number, since it is smaller than the sum of its proper divisors (128699381692).

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

102220032068 is a wasteful number, since it uses less digits than its factorization.

102220032068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10137 (or 10135 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 102220032068 its reverse (860230022201), we get a palindrome (962450054269).

The spelling of 102220032068 in words is "one hundred two billion, two hundred twenty million, thirty-two thousand, sixty-eight".

Divisors: 1 2 4 7 11 14 22 28 29 44 58 77 116 154 203 308 319 406 638 812 1276 1303 2233 2606 4466 5212 8783 8932 9121 14333 17566 18242 28666 35132 36484 37787 57332 61481 75574 96613 100331 122962 151148 193226 200662 245924 254707 264509 386452 401324 415657 509414 529018 676291 831314 1018828 1058036 1352582 1662628 1782949 2705164 2801777 2909599 3565898 5603554 5819198 7131796 11207108 11444249 11638396 19612439 22888498 39224878 45776996 78449756 80109743 125886739 160219486 251773478 320438972 331883221 503546956 663766442 881207173 1327532884 1762414346 2323182547 3524828692 3650715431 4646365094 7301430862 9292730188 14602861724 25555008017 51110016034 102220032068