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100301102022 = 23114146637949
BaseRepresentation
bin101110101101001101…
…0010101101111000110
3100120220011012220120110
41131122122111233012
53120404040231042
6114024440413450
710150361204652
oct1353232255706
9316804186513
10100301102022
11395a03a2550
1217532777286
1395c6005014
144bd703da62
1529208b509c
hex175a695bc6

100301102022 has 64 divisors (see below), whose sum is σ = 224252582400. Its totient is φ = 29642860800.

The previous prime is 100301102009. The next prime is 100301102053. The reversal of 100301102022 is 220201103001.

It is a super-2 number, since 2×1003011020222 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100301101989 and 100301102007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12614104 + ... + 12622052.

It is an arithmetic number, because the mean of its divisors is an integer number (3503946600).

Almost surely, 2100301102022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100301102022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112126291200).

100301102022 is an abundant number, since it is smaller than the sum of its proper divisors (123951480378).

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

100301102022 is a wasteful number, since it uses less digits than its factorization.

100301102022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12669.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 100301102022 its reverse (220201103001), we get a palindrome (320502205023).

The spelling of 100301102022 in words is "one hundred billion, three hundred one million, one hundred two thousand, twenty-two".

Divisors: 1 2 3 6 11 22 33 41 66 82 123 246 451 902 1353 2706 4663 7949 9326 13989 15898 23847 27978 47694 51293 87439 102586 153879 174878 191183 262317 307758 325909 382366 524634 573549 651818 977727 1147098 1955454 2103013 3584999 4206026 6309039 7169998 10754997 12618078 21509994 37066187 74132374 111198561 222397122 407728057 815456114 1223184171 1519713667 2446368342 3039427334 4559141001 9118282002 16716850337 33433700674 50150551011 100301102022