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100102203330030 = 2325111916359355057
BaseRepresentation
bin10110110000101011011100…
…010001010100110111101110
3111010102200021122220122010100
4112300223130101110313232
5101110033303023030110
6552522152314451530
730041100626126406
oct2660533421246756
9433380248818110
10100102203330030
1129994119136790
12b288589433ba6
1343b179c281965
141aa0d88739806
15b88d4c182bc0
hex5b0adc454dee

100102203330030 has 384 divisors, whose sum is σ = 301215851988480. Its totient is φ = 22809991495680.

The previous prime is 100102203329957. The next prime is 100102203330047. The reversal of 100102203330030 is 30033302201001.

100102203330030 is a `hidden beast` number, since 1 + 0 + 0 + 102 + 203 + 330 + 0 + 30 = 666.

It is a super-2 number, since 2×1001022033300302 (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 100102203329985 and 100102203330012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1818128262 + ... + 1818183318.

It is an arithmetic number, because the mean of its divisors is an integer number (784416281220).

Almost surely, 2100102203330030 is an apocalyptic number.

100102203330030 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 100102203330030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150607925994240).

100102203330030 is an abundant number, since it is smaller than the sum of its proper divisors (201113648658450).

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

100102203330030 is a wasteful number, since it uses less digits than its factorization.

100102203330030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55856 (or 55853 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 100102203330030 its reverse (30033302201001), we get a palindrome (130135505531031).

The spelling of 100102203330030 in words is "one hundred trillion, one hundred two billion, two hundred three million, three hundred thirty thousand, thirty".