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101212000000 = 285625303
BaseRepresentation
bin101111001000010110…
…1001000111100000000
3100200020122020022200121
41132100231020330000
53124240233000000
6114255100230024
710212061543126
oct1362055107400
9320218208617
10101212000000
1139a185986a1
121774783b314
13970c945bc7
144c81dd5916
152975845b1a
hex1790b48f00

101212000000 has 126 divisors (see below), whose sum is σ = 252542548664. Its totient is φ = 40483200000.

The previous prime is 101211999991. The next prime is 101212000009. The reversal of 101212000000 is 212101.

It is an interprime number because it is at equal distance from previous prime (101211999991) and next prime (101212000009).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101212000009) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 3987349 + ... + 4012651.

Almost surely, 2101212000000 is an apocalyptic number.

101212000000 is a gapful number since it is divisible by the number (10) 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 101212000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126271274332).

101212000000 is an abundant number, since it is smaller than the sum of its proper divisors (151330548664).

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

101212000000 is an frugal number, since it uses more digits than its factorization.

101212000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25349 (or 25310 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 101212000000 its reverse (212101), we get a palindrome (101212212101).

The spelling of 101212000000 in words is "one hundred one billion, two hundred twelve million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3125 3200 4000 5000 6250 6400 8000 10000 12500 15625 16000 20000 25000 25303 31250 32000 40000 50000 50606 62500 80000 100000 101212 125000 126515 160000 200000 202424 250000 253030 400000 404848 500000 506060 632575 800000 809696 1000000 1012120 1265150 1619392 2000000 2024240 2530300 3162875 3238784 4000000 4048480 5060600 6325750 6477568 8096960 10121200 12651500 15814375 16193920 20242400 25303000 31628750 32387840 40484800 50606000 63257500 79071875 80969600 101212000 126515000 158143750 161939200 202424000 253030000 316287500 395359375 404848000 506060000 632575000 790718750 809696000 1012120000 1265150000 1581437500 2024240000 2530300000 3162875000 4048480000 5060600000 6325750000 10121200000 12651500000 20242400000 25303000000 50606000000 101212000000