Search a number
-
+
30202022031000 = 2335325140108927
BaseRepresentation
bin1101101110111111101001…
…10010110110111010011000
310221221021200211210021001120
412313133310302312322120
512424312220114443000
6144122341204245240
76235011155333301
oct667376462667230
9127837624707046
1030202022031000
119694673087056
1234794300a0820
1313b106664a471
14765addc1d7a8
15375955a136a0
hex1b77f4cb6e98

30202022031000 has 128 divisors (see below), whose sum is σ = 94605730652160. Its totient is φ = 8021785200000.

The previous prime is 30202022030981. The next prime is 30202022031001. The reversal of 30202022031000 is 13022020203.

It is a super-2 number, since 2×302020220310002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30202022031001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19301464 + ... + 20807463.

It is an arithmetic number, because the mean of its divisors is an integer number (739107270720).

Almost surely, 230202022031000 is an apocalyptic number.

30202022031000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30202022031000 is an abundant number, since it is smaller than the sum of its proper divisors (64403708621160).

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

30202022031000 is a wasteful number, since it uses less digits than its factorization.

30202022031000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40109202 (or 40109188 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 30202022031000 its reverse (13022020203), we get a palindrome (30215044051203).

The spelling of 30202022031000 in words is "thirty trillion, two hundred two billion, twenty-two million, thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 251 300 375 500 502 600 750 753 1000 1004 1255 1500 1506 2008 2510 3000 3012 3765 5020 6024 6275 7530 10040 12550 15060 18825 25100 30120 31375 37650 50200 62750 75300 94125 125500 150600 188250 251000 376500 753000 40108927 80217854 120326781 160435708 200544635 240653562 320871416 401089270 481307124 601633905 802178540 962614248 1002723175 1203267810 1604357080 2005446350 2406535620 3008169525 4010892700 4813071240 5013615875 6016339050 8021785400 10027231750 10067340677 12032678100 15040847625 20054463500 20134681354 24065356200 30081695250 30202022031 40108927000 40269362708 50336703385 60163390500 60404044062 80538725416 100673406770 120326781000 120808088124 151010110155 201346813540 241616176248 251683516925 302020220310 402693627080 503367033850 604040440620 755050550775 1006734067700 1208080881240 1258417584625 1510101101550 2013468135400 2516835169250 3020202203100 3775252753875 5033670338500 6040404406200 7550505507750 10067340677000 15101011015500 30202022031000