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123000310000 = 245429424139
BaseRepresentation
bin111001010001101100…
…0111100100011110000
3102202111002210011002001
41302203120330203300
54003401034410000
6132301111303344
711613030245611
oct1624330744360
9382432704061
10123000310000
1148189517467
121ba0867ab54
13b7a2979a29
145d4b9cdc08
1532ed5ab46a
hex1ca363c8f0

123000310000 has 100 divisors (see below), whose sum is σ = 308065606200. Its totient is φ = 47503456000.

The previous prime is 123000309977. The next prime is 123000310039. The reversal of 123000310000 is 13000321.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×1230003100002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 77931 + ... + 502069.

It is an arithmetic number, because the mean of its divisors is an integer number (3080656062).

Almost surely, 2123000310000 is an apocalyptic number.

123000310000 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 123000310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154032803100).

123000310000 is an abundant number, since it is smaller than the sum of its proper divisors (185065296200).

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

123000310000 is an equidigital number, since it uses as much as digits as its factorization.

123000310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424196 (or 424175 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 123000310000 its reverse (13000321), we get a palindrome (123013310321).

The spelling of 123000310000 in words is "one hundred twenty-three billion, three hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 125 145 200 232 250 290 400 464 500 580 625 725 1000 1160 1250 1450 2000 2320 2500 2900 3625 5000 5800 7250 10000 11600 14500 18125 29000 36250 58000 72500 145000 290000 424139 848278 1696556 2120695 3393112 4241390 6786224 8482780 10603475 12300031 16965560 21206950 24600062 33931120 42413900 49200124 53017375 61500155 84827800 98400248 106034750 123000310 169655600 196800496 212069500 246000620 265086875 307500775 424139000 492001240 530173750 615001550 848278000 984002480 1060347500 1230003100 1537503875 2120695000 2460006200 3075007750 4241390000 4920012400 6150015500 7687519375 12300031000 15375038750 24600062000 30750077500 61500155000 123000310000