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2301232121120 = 255171495678129
BaseRepresentation
bin100001011111001100000…
…111111000010100100000
322010222212211020010010202
4201133030013320110200
5300200410410333440
64521101010444332
7325154451200312
oct41371407702440
98128784203122
102301232121120
11807a465a29a9
12311bb1b936a8
1313900b722a1a
147d5474c37b2
153ecd891e615
hex217cc1f8520

2301232121120 has 96 divisors (see below), whose sum is σ = 5795099478000. Its totient is φ = 860531654656.

The previous prime is 2301232121107. The next prime is 2301232121129. The reversal of 2301232121120 is 211212321032.

It can be written as a sum of positive squares in 8 ways, for example, as 1120523868304 + 1180708252816 = 1058548^2 + 1086604^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2301232121092 and 2301232121101.

It is not an unprimeable number, because it can be changed into a prime (2301232121129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2433785 + ... + 3244344.

Almost surely, 22301232121120 is an apocalyptic number.

2301232121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2301232121120 is an abundant number, since it is smaller than the sum of its proper divisors (3493867356880).

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

2301232121120 is a wasteful number, since it uses less digits than its factorization.

2301232121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5678310 (or 5678302 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 2301232121120 its reverse (211212321032), we get a palindrome (2512444442152).

The spelling of 2301232121120 in words is "two trillion, three hundred one billion, two hundred thirty-two million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 149 160 170 272 298 340 544 596 680 745 1192 1360 1490 2384 2533 2720 2980 4768 5066 5960 10132 11920 12665 20264 23840 25330 40528 50660 81056 101320 202640 405280 5678129 11356258 22712516 28390645 45425032 56781290 90850064 96528193 113562580 181700128 193056386 227125160 386112772 454250320 482640965 772225544 846041221 908500640 965281930 1544451088 1692082442 1930563860 3088902176 3384164884 3861127720 4230206105 6768329768 7722255440 8460412210 13536659536 14382700757 15444510880 16920824420 27073319072 28765401514 33841648840 57530803028 67683297680 71913503785 115061606056 135366595360 143827007570 230123212112 287654015140 460246424224 575308030280 1150616060560 2301232121120