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231323202120 = 233541241119501
BaseRepresentation
bin1101011101101111101…
…1111111001001001000
3211010002022102012221110
43113123323333021020
512242222214431440
6254133551010320
722466255526663
oct3273373771110
9733068365843
10231323202120
118a115a0a5aa
12389b98099a0
1318a76883cba
14b2a616a6da
15603d323080
hex35dbeff248

231323202120 has 128 divisors (see below), whose sum is σ = 711227018880. Its totient is φ = 60153600000.

The previous prime is 231323202119. The next prime is 231323202151. The reversal of 231323202120 is 21202323132.

It is a happy number.

231323202120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11852370 + ... + 11871870.

It is an arithmetic number, because the mean of its divisors is an integer number (5556461085).

Almost surely, 2231323202120 is an apocalyptic number.

231323202120 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 231323202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355613509440).

231323202120 is an abundant number, since it is smaller than the sum of its proper divisors (479903816760).

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

231323202120 is a wasteful number, since it uses less digits than its factorization.

231323202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21967 (or 21963 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 231323202120 its reverse (21202323132), we get a palindrome (252525525252).

The spelling of 231323202120 in words is "two hundred thirty-one billion, three hundred twenty-three million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 615 820 984 1230 1640 2411 2460 4822 4920 7233 9644 12055 14466 19288 19501 24110 28932 36165 39002 48220 57864 58503 72330 78004 96440 97505 98851 117006 144660 156008 195010 197702 234012 289320 292515 296553 390020 395404 468024 494255 585030 593106 780040 790808 799541 988510 1170060 1186212 1482765 1599082 1977020 2340120 2372424 2398623 2965530 3198164 3954040 3997705 4797246 5931060 6396328 7995410 9594492 11862120 11993115 15990820 19188984 23986230 31981640 47016911 47972460 94033822 95944920 141050733 188067644 235084555 282101466 376135288 470169110 564202932 705253665 940338220 1128405864 1410507330 1880676440 1927693351 2821014660 3855386702 5642029320 5783080053 7710773404 9638466755 11566160106 15421546808 19276933510 23132320212 28915400265 38553867020 46264640424 57830800530 77107734040 115661601060 231323202120