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2330420103100 = 2252293592238421
BaseRepresentation
bin100001111010010111110…
…111001100011110111100
322020210012222120020012101
4201322113313030132330
5301140200021244400
64542325154314444
7330236661016555
oct41722767143674
98223188506171
102330420103100
11819364437861
12317798b88a24
1313b9b07b798b
1480b15b5532c
15409460ea56a
hex21e97dcc7bc

2330420103100 has 72 divisors (see below), whose sum is σ = 5245965799200. Its totient is φ = 897516883200.

The previous prime is 2330420103073. The next prime is 2330420103227. The reversal of 2330420103100 is 13010240332.

It is a super-2 number, since 2×23304201031002 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78111 + ... + 2160310.

It is an arithmetic number, because the mean of its divisors is an integer number (72860636100).

Almost surely, 22330420103100 is an apocalyptic number.

2330420103100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2330420103100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2622982899600).

2330420103100 is an abundant number, since it is smaller than the sum of its proper divisors (2915545696100).

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

2330420103100 is a wasteful number, since it uses less digits than its factorization.

2330420103100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2238823 (or 2238816 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 2330420103100 its reverse (13010240332), we get a palindrome (2343430343432).

The spelling of 2330420103100 in words is "two trillion, three hundred thirty billion, four hundred twenty million, one hundred three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 359 580 718 725 1436 1450 1795 2900 3590 7180 8975 10411 17950 20822 35900 41644 52055 104110 208220 260275 520550 1041100 2238421 4476842 8953684 11192105 22384210 44768420 55960525 64914209 111921050 129828418 223842100 259656836 324571045 649142090 803593139 1298284180 1607186278 1622855225 3214372556 3245710450 4017965695 6491420900 8035931390 16071862780 20089828475 23304201031 40179656950 46608402062 80359313900 93216804124 116521005155 233042010310 466084020620 582605025775 1165210051550 2330420103100