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101123223102 = 232112382326981
BaseRepresentation
bin101111000101101101…
…0011110111000111110
3100200000110011222200100
41132023122132320332
53124100021114402
6114242205341530
710206633133266
oct1361332367076
9320013158610
10101123223102
1139982472260
1217721b678a6
1396c74318b5
144c742c67a6
15296cb5b71c
hex178b69ee3e

101123223102 has 96 divisors (see below), whose sum is σ = 249722942976. Its totient is φ = 29274379200.

The previous prime is 101123223067. The next prime is 101123223127. The reversal of 101123223102 is 201322321101.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 3734452 + ... + 3761432.

It is an arithmetic number, because the mean of its divisors is an integer number (2601280656).

Almost surely, 2101123223102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101123223102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124861471488).

101123223102 is an abundant number, since it is smaller than the sum of its proper divisors (148599719874).

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

101123223102 is a wasteful number, since it uses less digits than its factorization.

101123223102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27846 (or 27843 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101123223102 its reverse (201322321101), we get a palindrome (302445544203).

The spelling of 101123223102 in words is "one hundred one billion, one hundred twenty-three million, two hundred twenty-three thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 99 138 198 207 253 414 506 759 823 1518 1646 2277 2469 4554 4938 7407 9053 14814 18106 18929 26981 27159 37858 53962 54318 56787 80943 81477 113574 161886 162954 170361 208219 242829 296791 340722 416438 485658 593582 620563 624657 890373 1241126 1249314 1780746 1861689 1873971 2671119 3723378 3747942 5342238 5585067 6826193 11170134 13652386 20478579 22205363 40957158 44410726 61435737 66616089 122871474 133232178 199848267 244258993 399696534 488517986 510723349 732776979 1021446698 1465553958 1532170047 2198330937 3064340094 4396661874 4596510141 5617956839 9193020282 11235913678 16853870517 33707741034 50561611551 101123223102