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23300213301320 = 2352946574313161
BaseRepresentation
bin1010100110001000000001…
…11011111110000001001000
310001111110220221000122020212
411103010000323332001020
511023222314101120240
6121315545322340252
74623246002155154
oct523040073760110
9101443827018225
1023300213301320
117473623a7849a
1227438a235a688
13100027bba5c27
145a7a4473c064
152a615a86e165
hex153100efe048

23300213301320 has 64 divisors (see below), whose sum is σ = 54244913209200. Its totient is φ = 8996768686080.

The previous prime is 23300213301289. The next prime is 23300213301373. The reversal of 23300213301320 is 2310331200332.

It can be written as a sum of positive squares in 8 ways, for example, as 12384444875716 + 10915768425604 = 3519154^2 + 3303902^2 .

It is a super-2 number, since 2×233002133013202 (a number of 28 digits) contains 22 as substring.

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, 3245540 + ... + 7558700.

Almost surely, 223300213301320 is an apocalyptic number.

23300213301320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23300213301320 is an abundant number, since it is smaller than the sum of its proper divisors (30944699907880).

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

23300213301320 is a wasteful number, since it uses less digits than its factorization.

23300213301320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4317858 (or 4317854 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 23300213301320 its reverse (2310331200332), we get a palindrome (25610544501652).

The spelling of 23300213301320 in words is "twenty-three trillion, three hundred billion, two hundred thirteen million, three hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 4657 9314 18628 23285 37256 46570 93140 135053 186280 270106 540212 675265 1080424 1350530 2701060 4313161 5402120 8626322 17252644 21565805 34505288 43131610 86263220 125081669 172526440 250163338 500326676 625408345 1000653352 1250816690 2501633380 5003266760 20086390777 40172781554 80345563108 100431953885 160691126216 200863907770 401727815540 582505332533 803455631080 1165010665066 2330021330132 2912526662665 4660042660264 5825053325330 11650106650660 23300213301320