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231323333120 = 2951152115767
BaseRepresentation
bin1101011101101111110…
…0011111001000000000
3211010002022122212122022
43113123330133020000
512242222233124440
6254133553501012
722466256613625
oct3273374371000
9733068585568
10231323333120
118a115a99a70
12389b9871768
1318a768cb809
14b2a61a234c
15603d34bcb5
hex35dbf1f200

231323333120 has 160 divisors (see below), whose sum is σ = 606254875776. Its totient is φ = 83950796800.

The previous prime is 231323333119. The next prime is 231323333141. The reversal of 231323333120 is 21333323132.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 231323333120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14663477 + ... + 14679243.

Almost surely, 2231323333120 is an apocalyptic number.

231323333120 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 231323333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303127437888).

231323333120 is an abundant number, since it is smaller than the sum of its proper divisors (374931542656).

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

231323333120 is a wasteful number, since it uses less digits than its factorization.

231323333120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16322 (or 16306 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 26.

Adding to 231323333120 its reverse (21333323132), we get a palindrome (252656656252).

The spelling of 231323333120 in words is "two hundred thirty-one billion, three hundred twenty-three million, three hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 521 640 704 880 1042 1280 1408 1760 2084 2560 2605 2816 3520 4168 5210 5632 5731 7040 8336 10420 11462 14080 15767 16672 20840 22924 28160 28655 31534 33344 41680 45848 57310 63068 66688 78835 83360 91696 114620 126136 133376 157670 166720 173437 183392 229240 252272 266752 315340 333440 346874 366784 458480 504544 630680 666880 693748 733568 867185 916960 1009088 1261360 1333760 1387496 1467136 1734370 1833920 2018176 2522720 2774992 2934272 3468740 3667840 4036352 5045440 5549984 6937480 7335680 8072704 8214607 10090880 11099968 13874960 14671360 16429214 20181760 22199936 27749920 32858428 40363520 41073035 44399872 55499840 65716856 82146070 88799744 90360677 110999680 131433712 164292140 180721354 221999360 262867424 328584280 361442708 443998720 451803385 525734848 657168560 722885416 903606770 1051469696 1314337120 1445770832 1807213540 2102939392 2628674240 2891541664 3614427080 4205878784 5257348480 5783083328 7228854160 10514696960 11566166656 14457708320 21029393920 23132333312 28915416640 46264666624 57830833280 115661666560 231323333120