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231310230120 = 233351607133277
BaseRepresentation
bin1101011101101100101…
…0100000001001101000
3211010001102000011201000
43113123022200021220
512242210404330440
6254132404555000
722466040341514
oct3273312401150
9733042004630
10231310230120
118a10965a542
12389b53b2a60
1318a73c91768
14b2a4551144
15603c10e730
hex35db2a0268

231310230120 has 128 divisors (see below), whose sum is σ = 771519686400. Its totient is φ = 61643881728.

The previous prime is 231310230119. The next prime is 231310230139. The reversal of 231310230120 is 21032013132.

231310230120 is a `hidden beast` number, since 2 + 3 + 1 + 310 + 230 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 231310230093 and 231310230102.

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 31 ways as a sum of consecutive naturals, for example, 1668922 + ... + 1802198.

It is an arithmetic number, because the mean of its divisors is an integer number (6027497550).

Almost surely, 2231310230120 is an apocalyptic number.

231310230120 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 231310230120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385759843200).

231310230120 is an abundant number, since it is smaller than the sum of its proper divisors (540209456280).

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

231310230120 is a wasteful number, since it uses less digits than its factorization.

231310230120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134904 (or 134894 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 231310230120 its reverse (21032013132), we get a palindrome (252342243252).

The spelling of 231310230120 in words is "two hundred thirty-one billion, three hundred ten million, two hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 1607 3214 4821 6428 8035 9642 12856 14463 16070 19284 24105 28926 32140 38568 43389 48210 57852 64280 72315 86778 96420 115704 133277 144630 173556 192840 216945 266554 289260 347112 399831 433890 533108 578520 666385 799662 867780 1066216 1199493 1332770 1599324 1735560 1999155 2398986 2665540 3198648 3598479 3998310 4797972 5331080 5997465 7196958 7996620 9595944 11994930 14393916 15993240 17992395 23989860 28787832 35984790 47979720 71969580 143939160 214176139 428352278 642528417 856704556 1070880695 1285056834 1713409112 1927585251 2141761390 2570113668 3212642085 3855170502 4283522780 5140227336 5782755753 6425284170 7710341004 8567045560 9637926255 11565511506 12850568340 15420682008 19275852510 23131023012 25701136680 28913778765 38551705020 46262046024 57827557530 77103410040 115655115060 231310230120