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102022110102 = 2311101115113297
BaseRepresentation
bin101111100000011111…
…1011101101110010110
3100202100002121011211110
41133000333131232112
53132420130010402
6114511315515450
710241126425143
oct1370077355626
9322302534743
10102022110102
113a2a3904380
1217932bb8b86
13980b7287b3
144d1b8333ca
1529c1a1856c
hex17c0fddb96

102022110102 has 64 divisors (see below), whose sum is σ = 225009819648. Its totient is φ = 30580800000.

The previous prime is 102022110097. The next prime is 102022110119. The reversal of 102022110102 is 201011220201.

It is a super-2 number, since 2×1020221101022 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7665918 + ... + 7679214.

It is an arithmetic number, because the mean of its divisors is an integer number (3515778432).

Almost surely, 2102022110102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102022110102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112504909824).

102022110102 is an abundant number, since it is smaller than the sum of its proper divisors (122987709546).

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

102022110102 is a wasteful number, since it uses less digits than its factorization.

102022110102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14565.

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

Adding to 102022110102 its reverse (201011220201), we get a palindrome (303033330303).

It can be divided in two parts, 1020 and 22110102, that added together give a palindrome (22111122).

The spelling of 102022110102 in words is "one hundred two billion, twenty-two million, one hundred ten thousand, one hundred two".

Divisors: 1 2 3 6 11 22 33 66 101 202 303 606 1111 1151 2222 2302 3333 3453 6666 6906 12661 13297 25322 26594 37983 39891 75966 79782 116251 146267 232502 292534 348753 438801 697506 877602 1278761 1342997 2557522 2685994 3836283 4028991 7672566 8057982 14772967 15304847 29545934 30609694 44318901 45914541 88637802 91829082 168353317 336706634 505059951 1010119902 1545789547 3091579094 4637368641 9274737282 17003685017 34007370034 51011055051 102022110102