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30100013033220 = 223251312863253433
BaseRepresentation
bin1101101100000001101001…
…00101011010011100000100
310221120112101122212020221200
412312000310211122130010
512421124311314030340
6144003431033342500
76224440245216354
oct666006445323404
9127515348766850
1030100013033220
119655386719209
123461701567a30
1313a455a863050
14760bc4040b64
15372e8523a330
hex1b603495a704

30100013033220 has 72 divisors (see below), whose sum is σ = 98326709249496. Its totient is φ = 7409233976832.

The previous prime is 30100013033213. The next prime is 30100013033261. The reversal of 30100013033220 is 2233031000103.

30100013033220 is a `hidden beast` number, since 30 + 10 + 0 + 0 + 1 + 303 + 322 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1541014373376 + 28558998659844 = 1241376^2 + 5344062^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 30100013033193 and 30100013033202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6431624377 + ... + 6431629056.

Almost surely, 230100013033220 is an apocalyptic number.

30100013033220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30100013033220 is an abundant number, since it is smaller than the sum of its proper divisors (68226696216276).

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

30100013033220 is a wasteful number, since it uses less digits than its factorization.

30100013033220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12863253461 (or 12863253456 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 30100013033220 its reverse (2233031000103), we get a palindrome (32333044033323).

The spelling of 30100013033220 in words is "thirty trillion, one hundred billion, thirteen million, thirty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 12863253433 25726506866 38589760299 51453013732 64316267165 77179520598 115769280897 128632534330 154359041196 167222294629 192948801495 231538561794 257265068660 334444589258 385897602990 463077123588 501666883887 578846404485 668889178516 771795205980 836111473145 1003333767774 1157692808970 1505000651661 1672222946290 2006667535548 2315385617940 2508334419435 3010001303322 3344445892580 5016668838870 6020002606644 7525003258305 10033337677740 15050006516610 30100013033220