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123031400 = 23522632339
BaseRepresentation
bin1110101010101…
…00111101101000
322120111122100112
413111110331220
5222444001100
620112553452
73022515062
oct725247550
9276448315
10123031400
11634a2348
1235252888
131c64895b
14124a8732
15ac03b35
hex7554f68

123031400 has 48 divisors (see below), whose sum is σ = 287258400. Its totient is φ = 49004480.

The previous prime is 123031379. The next prime is 123031409. The reversal of 123031400 is 4130321.

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (123031409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51431 + ... + 53769.

It is an arithmetic number, because the mean of its divisors is an integer number (5984550).

Almost surely, 2123031400 is an apocalyptic number.

123031400 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 123031400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143629200).

123031400 is an abundant number, since it is smaller than the sum of its proper divisors (164227000).

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

123031400 is a wasteful number, since it uses less digits than its factorization.

123031400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2618 (or 2609 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 123031400 is about 11091.9520374008. The cubic root of 123031400 is about 497.3612990110.

Adding to 123031400 its reverse (4130321), we get a palindrome (127161721).

The spelling of 123031400 in words is "one hundred twenty-three million, thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 263 526 1052 1315 2104 2339 2630 4678 5260 6575 9356 10520 11695 13150 18712 23390 26300 46780 52600 58475 93560 116950 233900 467800 615157 1230314 2460628 3075785 4921256 6151570 12303140 15378925 24606280 30757850 61515700 123031400