Search a number
-
+
12101000000 = 265612101
BaseRepresentation
bin10110100010100011…
…01001101101000000
31011020100011111022012
423101101221231000
5144240324000000
65320434232052
7605605542245
oct132121515500
934210144265
1012101000000
11514a776451
122418725628
1311ab06853b
1482b1cd5cc
154ac571735
hex2d1469b40

12101000000 has 98 divisors (see below), whose sum is σ = 30018248574. Its totient is φ = 4840000000.

The previous prime is 12100999951. The next prime is 12101000029. The reversal of 12101000000 is 10121.

It is a happy number.

It can be written as a sum of positive squares in 7 ways, for example, as 10673369344 + 1427630656 = 103312^2 + 37784^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 993950 + ... + 1006050.

Almost surely, 212101000000 is an apocalyptic number.

12101000000 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 12101000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15009124287).

12101000000 is an abundant number, since it is smaller than the sum of its proper divisors (17917248574).

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

12101000000 is an frugal number, since it uses more digits than its factorization.

12101000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12143 (or 12108 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 12101000000 its reverse (10121), we get a palindrome (12101010121).

The spelling of 12101000000 in words is "twelve billion, one hundred one million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3125 4000 5000 6250 8000 10000 12101 12500 15625 20000 24202 25000 31250 40000 48404 50000 60505 62500 96808 100000 121010 125000 193616 200000 242020 250000 302525 387232 484040 500000 605050 774464 968080 1000000 1210100 1512625 1936160 2420200 3025250 3872320 4840400 6050500 7563125 9680800 12101000 15126250 19361600 24202000 30252500 37815625 48404000 60505000 75631250 96808000 121010000 151262500 189078125 242020000 302525000 378156250 484040000 605050000 756312500 1210100000 1512625000 2420200000 3025250000 6050500000 12101000000