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10102010022 = 232131912717891
BaseRepresentation
bin10010110100010000…
…00111000010100110
3222002000201021120100
421122020013002212
5131142103310042
64350225044530
7505223445156
oct113210070246
928060637510
1010102010022
114314359715
121b5b186746
13c4cb85b30
146bb918766
153e1d0d24c
hex25a2070a6

10102010022 has 96 divisors (see below), whose sum is σ = 25008721920. Its totient is φ = 2921365440.

The previous prime is 10102009987. The next prime is 10102010089. The reversal of 10102010022 is 22001020101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10102009986 and 10102010013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 555697 + ... + 573587.

It is an arithmetic number, because the mean of its divisors is an integer number (260507520).

Almost surely, 210102010022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10102010022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12504360960).

10102010022 is an abundant number, since it is smaller than the sum of its proper divisors (14906711898).

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

10102010022 is a wasteful number, since it uses less digits than its factorization.

10102010022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18058 (or 18055 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10102010022 its reverse (22001020101), we get a palindrome (32103030123).

The spelling of 10102010022 in words is "ten billion, one hundred two million, ten thousand, twenty-two".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 127 171 234 247 254 342 381 494 741 762 1143 1482 1651 2223 2286 2413 3302 4446 4826 4953 7239 9906 14478 14859 17891 21717 29718 31369 35782 43434 53673 62738 94107 107346 161019 188214 232583 282321 322038 339929 465166 564642 679858 697749 1019787 1395498 2039574 2093247 2272157 3059361 4186494 4419077 4544314 6118722 6816471 8838154 13257231 13632942 20449413 26514462 29538041 39771693 40898826 43170983 59076082 79543386 86341966 88614123 129512949 177228246 259025898 265842369 388538847 531684738 561222779 777077694 1122445558 1683668337 3367336674 5051005011 10102010022