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2130330033100 = 225241790765713
BaseRepresentation
bin11111000000000001100…
…100001001101111001100
321112122202100210111220001
4133000001210021233030
5234400403442024400
64310354325534044
7306624364336033
oct37000144115714
97478670714801
102130330033100
11751516847745
122a4a57274324
13125b73920a59
1475173b0971a
153a634cd3a6a
hex1f001909bcc

2130330033100 has 72 divisors (see below), whose sum is σ = 4736238767568. Its totient is φ = 831230515200.

The previous prime is 2130330033053. The next prime is 2130330033121. The reversal of 2130330033100 is 13300330312.

It is a super-2 number, since 2×21303300331002 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32385844 + ... + 32451556.

It is an arithmetic number, because the mean of its divisors is an integer number (65781093994).

Almost surely, 22130330033100 is an apocalyptic number.

2130330033100 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 2130330033100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2368119383784).

2130330033100 is an abundant number, since it is smaller than the sum of its proper divisors (2605908734468).

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

2130330033100 is a wasteful number, since it uses less digits than its factorization.

2130330033100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73675 (or 73668 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 19.

Adding to 2130330033100 its reverse (13300330312), we get a palindrome (2143630363412).

The spelling of 2130330033100 in words is "two trillion, one hundred thirty billion, three hundred thirty million, thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 2050 4100 7907 15814 31628 39535 65713 79070 131426 158140 197675 262852 324187 328565 395350 648374 657130 790700 1296748 1314260 1620935 1642825 2694233 3241870 3285650 5388466 6483740 6571300 8104675 10776932 13471165 16209350 26942330 32418700 53884660 67355825 134711650 269423300 519592691 1039185382 2078370764 2597963455 5195926910 10391853820 12989817275 21303300331 25979634550 42606600662 51959269100 85213201324 106516501655 213033003310 426066006620 532582508275 1065165016550 2130330033100