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231000000000 = 29359711
BaseRepresentation
bin1101011100100010101…
…1000100011000000000
3211002020210020211222120
43113020223010120000
512241042000000000
6254041523404240
722455252413520
oct3271053043000
9732223224876
10231000000000
1189a6a529010
1238929523680
1318a24921443
14b275277680
15601ec7e6a0
hex35c8ac4600

231000000000 has 800 divisors, whose sum is σ = 959062401792. Its totient is φ = 48000000000.

The previous prime is 230999999969. The next prime is 231000000029. The reversal of 231000000000 is 132.

It is a tau number, because it is divible by the number of its divisors (800).

It is a super-2 number, since 2×2310000000002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20999999995 + ... + 21000000005.

Almost surely, 2231000000000 is an apocalyptic number.

231000000000 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 231000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479531200896).

231000000000 is an abundant number, since it is smaller than the sum of its proper divisors (728062401792).

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

231000000000 is an frugal number, since it uses more digits than its factorization.

231000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

Adding to 231000000000 its reverse (132), we get a palindrome (231000000132).

The spelling of 231000000000 in words is "two hundred thirty-one billion", and thus it is an aban number.