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2130123013100 = 2252557191319991
BaseRepresentation
bin11110111111110101001…
…110011011101111101100
321112122012221020210211122
4132333311032123233230
5234344442442404400
64310322012440112
7306616301603135
oct36776516335754
97478187223748
102130123013100
1175141a9aa535
122a49b9a79038
13125b3ca79404
147515441ac8c
153a621a3e685
hex1eff539bbec

2130123013100 has 72 divisors (see below), whose sum is σ = 4633318011168. Its totient is φ = 850032371200.

The previous prime is 2130123013093. The next prime is 2130123013103. The reversal of 2130123013100 is 13103210312.

It is a super-2 number, since 2×21301230131002 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2130123013103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106544105 + ... + 106564095.

It is an arithmetic number, because the mean of its divisors is an integer number (64351639044).

Almost surely, 22130123013100 is an apocalyptic number.

2130123013100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2130123013100 is an abundant number, since it is smaller than the sum of its proper divisors (2503194998068).

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

2130123013100 is a wasteful number, since it uses less digits than its factorization.

2130123013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22475 (or 22468 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 2130123013100 its reverse (13103210312), we get a palindrome (2143226223412).

The spelling of 2130123013100 in words is "two trillion, one hundred thirty billion, one hundred twenty-three million, thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 557 1114 1913 2228 2785 3826 5570 7652 9565 11140 13925 19130 19991 27850 38260 39982 47825 55700 79964 95650 99955 191300 199910 399820 499775 999550 1065541 1999100 2131082 4262164 5327705 10655410 11134987 21310820 22269974 26638525 38242783 44539948 53277050 55674935 76485566 106554100 111349870 152971132 191213915 222699740 278374675 382427830 556749350 764855660 956069575 1113498700 1912139150 3824278300 21301230131 42602460262 85204920524 106506150655 213012301310 426024602620 532530753275 1065061506550 2130123013100