Search a number
-
+
200211020002000 = 2453765512182993
BaseRepresentation
bin101101100001011101000010…
…101110100011001011010000
3222020212222122012222211220001
4231201131002232203023100
5202220224132110031000
61545451401200255344
760112524500612320
oct5541350256431320
9866788565884801
10200211020002000
1158880020334117
121a5562a1611554
138793a836b99a7
14376239d501280
151822e34c0446a
hexb61742ba32d0

200211020002000 has 160 divisors (see below), whose sum is σ = 553353562105344. Its totient is φ = 68633268480000.

The previous prime is 200211020001989. The next prime is 200211020002001. The reversal of 200211020002000 is 200020112002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200211020002001) 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, 90622504 + ... + 92805496.

Almost surely, 2200211020002000 is an apocalyptic number.

200211020002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200211020002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276676781052672).

200211020002000 is an abundant number, since it is smaller than the sum of its proper divisors (353142542103344).

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

200211020002000 is a wasteful number, since it uses less digits than its factorization.

200211020002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2189574 (or 2189558 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 200211020002000 its reverse (200020112002), we get a palindrome (200411040114002).

The spelling of 200211020002000 in words is "two hundred trillion, two hundred eleven billion, twenty million, two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1400 1750 2000 2800 3500 6551 7000 13102 14000 26204 32755 45857 52408 65510 91714 104816 131020 163775 183428 229285 262040 327550 366856 458570 524080 655100 733712 818875 917140 1146425 1310200 1637750 1834280 2182993 2292850 2620400 3275500 3668560 4365986 4585700 5732125 6551000 8731972 9171400 10914965 11464250 13102000 15280951 17463944 18342800 21829930 22928500 30561902 34927888 43659860 45857000 54574825 61123804 76404755 87319720 91714000 109149650 122247608 152809510 174639440 218299300 244495216 272874125 305619020 382023775 436598600 545748250 611238040 764047550 873197200 1091496500 1222476080 1528095100 1910118875 2182993000 3056190200 3820237750 4365986000 6112380400 7640475500 14300787143 15280951000 28601574286 30561902000 57203148572 71503935715 100105510001 114406297144 143007871430 200211020002 228812594288 286015742860 357519678575 400422040004 500527550005 572031485720 715039357150 800844080008 1001055100010 1144062971440 1430078714300 1601688160016 1787598392875 2002110200020 2502637750025 2860157428600 3575196785750 4004220400040 5005275500050 5720314857200 7150393571500 8008440800080 10010551000100 12513188750125 14300787143000 20021102000200 25026377500250 28601574286000 40042204000400 50052755000500 100105510001000 200211020002000