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231240101400 = 23335271129127151
BaseRepresentation
bin1101011101011011111…
…0111110111000011000
3211002212112001021012000
43113112332332320120
512242034431221100
6254121421521000
722464226300560
oct3272676767030
9732775037160
10231240101400
118a083010820
1238995a13160
1318a625a9489
14b2990d7da0
156035daa900
hex35d6fbee18

231240101400 has 1536 divisors, whose sum is σ = 1042219008000. Its totient is φ = 45722880000.

The previous prime is 231240101383. The next prime is 231240101413. The reversal of 231240101400 is 4101042132.

231240101400 is a `hidden beast` number, since 23 + 1 + 240 + 1 + 0 + 1 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1531391325 + ... + 1531391475.

It is an arithmetic number, because the mean of its divisors is an integer number (678528000).

Almost surely, 2231240101400 is an apocalyptic number.

231240101400 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 231240101400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521109504000).

231240101400 is an abundant number, since it is smaller than the sum of its proper divisors (810978906600).

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

231240101400 is a wasteful number, since it uses less digits than its factorization.

231240101400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 231240101400 its reverse (4101042132), we get a palindrome (235341143532).

The spelling of 231240101400 in words is "two hundred thirty-one billion, two hundred forty million, one hundred one thousand, four hundred".