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231211122000 = 2435353727079
BaseRepresentation
bin1101011101010101000…
…0011011110101010000
3211002210111111221220220
43113111100123311100
512242010021401000
6254114504433040
722463425052535
oct3272520336520
9732714457826
10231211122000
118a068718101
1238988178780
1318a595a0bc1
14b295312d8c
1560335841a0
hex35d541bd50

231211122000 has 160 divisors (see below), whose sum is σ = 759490318080. Its totient is φ = 60492889600.

The previous prime is 231211121989. The next prime is 231211122001. The reversal of 231211122000 is 221112132.

231211122000 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231211122001) 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, 45540 + ... + 681539.

It is an arithmetic number, because the mean of its divisors is an integer number (4746814488).

Almost surely, 2231211122000 is an apocalyptic number.

231211122000 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 231211122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379745159040).

231211122000 is an abundant number, since it is smaller than the sum of its proper divisors (528279196080).

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

231211122000 is a wasteful number, since it uses less digits than its factorization.

231211122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727158 (or 727142 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 231211122000 its reverse (221112132), we get a palindrome (231432234132).

The spelling of 231211122000 in words is "two hundred thirty-one billion, two hundred eleven million, one hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 53 60 75 80 100 106 120 125 150 159 200 212 240 250 265 300 318 375 400 424 500 530 600 636 750 795 848 1000 1060 1200 1272 1325 1500 1590 2000 2120 2544 2650 3000 3180 3975 4240 5300 6000 6360 6625 7950 10600 12720 13250 15900 19875 21200 26500 31800 39750 53000 63600 79500 106000 159000 318000 727079 1454158 2181237 2908316 3635395 4362474 5816632 7270790 8724948 10906185 11633264 14541580 17449896 18176975 21812370 29083160 34899792 36353950 38535187 43624740 54530925 58166320 72707900 77070374 87249480 90884875 109061850 115605561 145415800 154140748 174498960 181769750 192675935 218123700 231211122 272654625 290831600 308281496 363539500 385351870 436247400 462422244 545309250 578027805 616562992 727079000 770703740 872494800 924844488 963379675 1090618500 1156055610 1454158000 1541407480 1849688976 1926759350 2181237000 2312111220 2890139025 3082814960 3853518700 4362474000 4624222440 4816898375 5780278050 7707037400 9248444880 9633796750 11560556100 14450695125 15414074800 19267593500 23121112200 28901390250 38535187000 46242224400 57802780500 77070374000 115605561000 231211122000