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102210101010 = 23257388717539
BaseRepresentation
bin101111100110000110…
…0100101111100010010
3100202211012100002212200
41133030030211330102
53133311241213020
6114542113104030
710245601344453
oct1371414457422
9322735302780
10102210101010
113a38aa34766
1217985b58016
13983b669914
144d387ab12a
1529d329e590
hex17cc325f12

102210101010 has 96 divisors (see below), whose sum is σ = 269705704320. Its totient is φ = 26850818304.

The previous prime is 102210100997. The next prime is 102210101017. The reversal of 102210101010 is 10101012201.

It is a happy number.

It is a super-3 number, since 3×1022101010103 (a number of 34 digits) contains 333 as substring.

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 = 102210100983 and 102210101001.

It is not an unprimeable number, because it can be changed into a prime (102210101017) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5818821 + ... + 5836359.

It is an arithmetic number, because the mean of its divisors is an integer number (2809434420).

Almost surely, 2102210101010 is an apocalyptic number.

102210101010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102210101010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134852852160).

102210101010 is an abundant number, since it is smaller than the sum of its proper divisors (167495603310).

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

102210101010 is a wasteful number, since it uses less digits than its factorization.

102210101010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18512 (or 18509 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 102210101010 its reverse (10101012201), we get a palindrome (112311113211).

The spelling of 102210101010 in words is "one hundred two billion, two hundred ten million, one hundred one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 73 90 146 219 365 438 657 730 887 1095 1314 1774 2190 2661 3285 4435 5322 6570 7983 8870 13305 15966 17539 26610 35078 39915 52617 64751 79830 87695 105234 129502 157851 175390 194253 263085 315702 323755 388506 526170 582759 647510 789255 971265 1165518 1280347 1578510 1942530 2560694 2913795 3841041 5827590 6401735 7682082 11523123 12803470 15557093 19205205 23046246 31114186 38410410 46671279 57615615 77785465 93342558 115231230 140013837 155570930 233356395 280027674 466712790 700069185 1135667789 1400138370 2271335578 3407003367 5678338945 6814006734 10221010101 11356677890 17035016835 20442020202 34070033670 51105050505 102210101010