Search a number
-
+
211021212300000 = 25355703404041
BaseRepresentation
bin101111111110110000110100…
…011001100011001011100000
31000200011102122002222020002120
4233332300310121203023200
5210124332420322100000
62024445450122144240
762306531234212314
oct5776606431431340
91020142562866076
10211021212300000
1161268659039203
121b8013a9052080
1390992a429a72b
143a176a4493b44
15195e22cb2e6a0
hexbfec346632e0

211021212300000 has 144 divisors (see below), whose sum is σ = 692369039389104. Its totient is φ = 56272323200000.

The previous prime is 211021212299987. The next prime is 211021212300001. The reversal of 211021212300000 is 3212120112.

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 (211021212300001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 351402021 + ... + 352002020.

It is an arithmetic number, because the mean of its divisors is an integer number (4808118329091).

Almost surely, 2211021212300000 is an apocalyptic number.

211021212300000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211021212300000 is an abundant number, since it is smaller than the sum of its proper divisors (481347827089104).

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

211021212300000 is an frugal number, since it uses more digits than its factorization.

211021212300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703404079 (or 703404051 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 211021212300000 its reverse (3212120112), we get a palindrome (211024424420112).

The spelling of 211021212300000 in words is "two hundred eleven trillion, twenty-one billion, two hundred twelve million, three hundred thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3125 3750 4000 5000 6000 6250 7500 9375 10000 12000 12500 15000 18750 20000 25000 30000 37500 50000 60000 75000 100000 150000 300000 703404041 1406808082 2110212123 2813616164 3517020205 4220424246 5627232328 7034040410 8440848492 10551060615 11254464656 14068080820 16881696984 17585101025 21102121230 22508929312 28136161640 33763393968 35170202050 42204242460 52755303075 56272323280 67526787936 70340404100 84408484920 87925505125 105510606150 112544646560 140680808200 168816969840 175851010250 211021212300 263776515375 281361616400 337633939680 351702020500 422042424600 439627525625 527553030750 562723232800 703404041000 844084849200 879255051250 1055106061500 1318882576875 1406808082000 1688169698400 1758510102500 2110212123000 2198137628125 2637765153750 2813616164000 3517020205000 4220424246000 4396275256250 5275530307500 6594412884375 7034040410000 8440848492000 8792550512500 10551060615000 13188825768750 14068080820000 17585101025000 21102121230000 26377651537500 35170202050000 42204242460000 52755303075000 70340404100000 105510606150000 211021212300000