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2010030300102 = 231123782319091
BaseRepresentation
bin11101001111111111001…
…001000101101111000110
321010011020110121220000110
4131033333021011233012
5230413020224100402
64135221205053450
7265135265435346
oct35177711055706
97104213556013
102010030300102
117054a3780800
122856830b7286
131177116002a6
146d400a5cd26
153744387356c
hex1d3ff245bc6

2010030300102 has 96 divisors (see below), whose sum is σ = 4539220422912. Its totient is φ = 592500744000.

The previous prime is 2010030300097. The next prime is 2010030300133.

It is a happy number.

2010030300102 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 221096577 + ... + 221105667.

It is an arithmetic number, because the mean of its divisors is an integer number (47283546072).

Almost surely, 22010030300102 is an apocalyptic number.

2010030300102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010030300102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2269610211456).

2010030300102 is an abundant number, since it is smaller than the sum of its proper divisors (2529190122810).

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

2010030300102 is a wasteful number, since it uses less digits than its factorization.

2010030300102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17386 (or 17375 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

It can be divided in two parts, 2010030 and 300102, that added together give a palindrome (2310132).

The spelling of 2010030300102 in words is "two trillion, ten billion, thirty million, three hundred thousand, one hundred two".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 121 222 242 363 407 726 814 1221 2442 4477 8231 8954 9091 13431 16462 18182 24693 26862 27273 49386 54546 90541 100001 181082 200002 271623 300003 304547 336367 543246 600006 609094 672734 913641 995951 1009101 1100011 1827282 1991902 2018202 2200022 2987853 3300033 3350017 3700037 5975706 6600066 6700034 7400074 10050051 11100111 20100102 22200222 36850187 40700407 73700374 74828021 81400814 110550561 122101221 149656042 221101122 224484063 244202442 448968126 823108231 1646216462 2469324693 2768636777 4938649386 5537273554 8305910331 9054190541 16611820662 18108381082 27162571623 30455004547 54325143246 60910009094 91365013641 182730027282 335005050017 670010100034 1005015150051 2010030300102