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230312121000 = 23353135905439
BaseRepresentation
bin1101011001111110101…
…1000001001010101000
3211000110211212222101120
43112133223001022220
512233134400333000
6253445352015240
722432230504423
oct3263753011250
9730424788346
10230312121000
1189747208375
1238777091520
1318945267150
14b20bb769ba
155ece6a36a0
hex359fac12a8

230312121000 has 128 divisors (see below), whose sum is σ = 773848857600. Its totient is φ = 56692204800.

The previous prime is 230312120977. The next prime is 230312121007. The reversal of 230312121000 is 121213032.

230312121000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (230312121007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2913720 + ... + 2991719.

It is an arithmetic number, because the mean of its divisors is an integer number (6045694200).

Almost surely, 2230312121000 is an apocalyptic number.

230312121000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230312121000 is an abundant number, since it is smaller than the sum of its proper divisors (543536736600).

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

230312121000 is a wasteful number, since it uses less digits than its factorization.

230312121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5905476 (or 5905462 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 230312121000 its reverse (121213032), we get a palindrome (230433334032).

The spelling of 230312121000 in words is "two hundred thirty billion, three hundred twelve million, one hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 125 130 150 156 195 200 250 260 300 312 325 375 390 500 520 600 650 750 780 975 1000 1300 1500 1560 1625 1950 2600 3000 3250 3900 4875 6500 7800 9750 13000 19500 39000 5905439 11810878 17716317 23621756 29527195 35432634 47243512 59054390 70865268 76770707 88581585 118108780 141730536 147635975 153541414 177163170 230312121 236217560 295271950 307082828 354326340 383853535 442907925 460624242 590543900 614165656 708652680 738179875 767707070 885815850 921248484 1151560605 1181087800 1476359750 1535414140 1771631700 1842496968 1919267675 2214539625 2303121210 2952719500 3070828280 3543263400 3838535350 4429079250 4606242420 5757803025 5905439000 7677070700 8858158500 9212484840 9596338375 11515606050 15354141400 17716317000 19192676750 23031212100 28789015125 38385353500 46062424200 57578030250 76770707000 115156060500 230312121000