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30313101002220 = 223252337197892029
BaseRepresentation
bin1101110010001110100011…
…00111100000010111101100
310222022220102010110122200200
412321013101213200113230
512433122212324032340
6144245351340153500
76246022621114401
oct671072147402754
9128286363418620
1030313101002220
119727794289213
123496a70238890
1313bb68954457a
1476b23a42a2a8
153787a76db330
hex1b91d19e05ec

30313101002220 has 144 divisors (see below), whose sum is σ = 98540732122560. Its totient is φ = 7523063336448.

The previous prime is 30313101002161. The next prime is 30313101002227. The reversal of 30313101002220 is 2220010131303.

30313101002220 is a `hidden beast` number, since 3 + 0 + 31 + 310 + 100 + 2 + 220 = 666.

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 = 30313101002193 and 30313101002202.

It is not an unprimeable number, because it can be changed into a prime (30313101002227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98792835 + ... + 99099194.

It is an arithmetic number, because the mean of its divisors is an integer number (684310639740).

Almost surely, 230313101002220 is an apocalyptic number.

30313101002220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30313101002220 is an abundant number, since it is smaller than the sum of its proper divisors (68227631120340).

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

30313101002220 is a wasteful number, since it uses less digits than its factorization.

30313101002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197892104 (or 197892099 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 30313101002220 its reverse (2220010131303), we get a palindrome (32533111133523).

The spelling of 30313101002220 in words is "thirty trillion, three hundred thirteen billion, one hundred one million, two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 37 45 46 60 69 74 90 92 111 115 138 148 180 185 207 222 230 276 333 345 370 414 444 460 555 666 690 740 828 851 1035 1110 1332 1380 1665 1702 2070 2220 2553 3330 3404 4140 4255 5106 6660 7659 8510 10212 12765 15318 17020 25530 30636 38295 51060 76590 153180 197892029 395784058 593676087 791568116 989460145 1187352174 1781028261 1978920290 2374704348 2968380435 3562056522 3957840580 4551516667 5936760870 7124113044 7322005073 8905141305 9103033334 11873521740 13654550001 14644010146 17810282610 18206066668 21966015219 22757583335 27309100002 29288020292 35620565220 36610025365 40963650003 43932030438 45515166670 54618200004 65898045657 68272750005 73220050730 81927300006 87864060876 91030333340 109830076095 131796091314 136545500010 146440101460 163854600012 168406116679 204818250015 219660152190 263592182628 273091000020 329490228285 336812233358 409636500030 439320304380 505218350037 658980456570 673624466716 819273000060 842030583395 1010436700074 1317960913140 1515655050111 1684061166790 2020873400148 2526091750185 3031310100222 3368122333580 5052183500370 6062620200444 7578275250555 10104367000740 15156550501110 30313101002220