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101212121000 = 2353234400527
BaseRepresentation
bin101111001000010110…
…1100110011110101000
3100200020122110110200002
41132100231212132220
53124240300333000
6114255103002132
710212062555654
oct1362055463650
9320218413602
10101212121000
1139a186705a1
1217747899348
13970c988cc3
144c82027a64
15297586b8d5
hex1790b667a8

101212121000 has 64 divisors (see below), whose sum is σ = 247133652480. Its totient is φ = 38724628800.

The previous prime is 101212120991. The next prime is 101212121029. The reversal of 101212121000 is 121212101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2177264 + ... + 2223263.

It is an arithmetic number, because the mean of its divisors is an integer number (3861463320).

Almost surely, 2101212121000 is an apocalyptic number.

101212121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101212121000 is an abundant number, since it is smaller than the sum of its proper divisors (145921531480).

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

101212121000 is a wasteful number, since it uses less digits than its factorization.

101212121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4400571 (or 4400557 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101212121000 its reverse (121212101), we get a palindrome (101333333101).

The spelling of 101212121000 in words is "one hundred one billion, two hundred twelve million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 125 184 200 230 250 460 500 575 920 1000 1150 2300 2875 4600 5750 11500 23000 4400527 8801054 17602108 22002635 35204216 44005270 88010540 101212121 110013175 176021080 202424242 220026350 404848484 440052700 506060605 550065875 809696968 880105400 1012121210 1100131750 2024242420 2200263500 2530303025 4048484840 4400527000 5060606050 10121212100 12651515125 20242424200 25303030250 50606060500 101212121000