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2303320101330 = 23531149119313933
BaseRepresentation
bin100001100001001000100…
…100111001000111010010
322011012021100010111112010
4201201020210321013102
5300214144421220310
64522044115243350
7325260263553213
oct41411044710722
98135240114463
102303320101330
11808918171386
123124952a9556
13139282192881
147d6a492140a
153edabdb0320
hex218489391d2

2303320101330 has 128 divisors (see below), whose sum is σ = 5749814937600. Its totient is φ = 589878650880.

The previous prime is 2303320101287. The next prime is 2303320101367. The reversal of 2303320101330 is 331010233032.

It is a junction number, because it is equal to n+sod(n) for n = 2303320101297 and 2303320101306.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 165307044 + ... + 165320976.

It is an arithmetic number, because the mean of its divisors is an integer number (44920429200).

Almost surely, 22303320101330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2303320101330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2874907468800).

2303320101330 is an abundant number, since it is smaller than the sum of its proper divisors (3446494836270).

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

2303320101330 is a wasteful number, since it uses less digits than its factorization.

2303320101330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15316.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 2303320101330 its reverse (331010233032), we get a palindrome (2634330334362).

The spelling of 2303320101330 in words is "two trillion, three hundred three billion, three hundred twenty million, one hundred one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 149 155 186 298 310 447 465 745 894 930 1193 1490 2235 2386 3579 4470 4619 5965 7158 9238 11930 13857 13933 17895 23095 27714 27866 35790 36983 41799 46190 69285 69665 73966 83598 110949 138570 139330 177757 184915 208995 221898 355514 369830 417990 431923 533271 554745 863846 888785 1066542 1109490 1295769 1777570 2076017 2159615 2591538 2666355 4152034 4319230 5332710 5510467 6228051 6478845 10380085 11020934 12456102 12957690 16531401 16622069 20760170 27552335 31140255 33062802 33244138 49866207 55104670 62280510 64356527 82657005 83110345 99732414 128713054 165314010 166220690 193069581 249331035 321782635 386139162 498662070 515284139 643565270 965347905 1030568278 1545852417 1930695810 2476688281 2576420695 3091704834 4953376562 5152841390 7430064843 7729262085 12383441405 14860129686 15458524170 24766882810 37150324215 74300648430 76777336711 153554673422 230332010133 383886683555 460664020266 767773367110 1151660050665 2303320101330