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231230100000 = 25355770767
BaseRepresentation
bin1101011101011001100…
…0110101001000100000
3211002211211020010211210
43113112120311020200
512242024401200000
6254120423310120
722464045264144
oct3272630651040
9732754203753
10231230100000
118a0783aa5a9
12389925ab340
1318a604b70a3
14b297a53224
156035082350
hex35d6635220

231230100000 has 144 divisors (see below), whose sum is σ = 758676191616. Its totient is φ = 61661280000.

The previous prime is 231230099993. The next prime is 231230100011. The reversal of 231230100000 is 1032132.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85384 + ... + 685383.

It is an arithmetic number, because the mean of its divisors is an integer number (5268584664).

Almost surely, 2231230100000 is an apocalyptic number.

231230100000 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 231230100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379338095808).

231230100000 is an abundant number, since it is smaller than the sum of its proper divisors (527446091616).

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

231230100000 is an frugal number, since it uses more digits than its factorization.

231230100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770805 (or 770777 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 231230100000 its reverse (1032132), we get a palindrome (231231132132).

The spelling of 231230100000 in words is "two hundred thirty-one billion, two hundred thirty million, one hundred thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3125 3750 4000 5000 6000 6250 7500 9375 10000 12000 12500 15000 18750 20000 25000 30000 37500 50000 60000 75000 100000 150000 300000 770767 1541534 2312301 3083068 3853835 4624602 6166136 7707670 9249204 11561505 12332272 15415340 18498408 19269175 23123010 24664544 30830680 36996816 38538350 46246020 57807525 61661360 73993632 77076700 92492040 96345875 115615050 123322720 154153400 184984080 192691750 231230100 289037625 308306800 369968160 385383500 462460200 481729375 578075250 616613600 770767000 924920400 963458750 1156150500 1445188125 1541534000 1849840800 1926917500 2312301000 2408646875 2890376250 3083068000 3853835000 4624602000 4817293750 5780752500 7225940625 7707670000 9249204000 9634587500 11561505000 14451881250 15415340000 19269175000 23123010000 28903762500 38538350000 46246020000 57807525000 77076700000 115615050000 231230100000