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200200102021220 = 225721491371045761
BaseRepresentation
bin101101100001010010110111…
…111101110000100001100100
3222020211221110022212221212112
4231201102313331300201210
5202220034302104134340
61545442353542140152
760111660105402500
oct5541226775604144
9866757408787775
10200200102021220
1158876428426604
121a554155121658
138792a3377b832
143761a454a1300
1518229e6467065
hexb614b7f70864

200200102021220 has 72 divisors (see below), whose sum is σ = 492342533134200. Its totient is φ = 68179363553280.

The previous prime is 200200102021189. The next prime is 200200102021223. The reversal of 200200102021220 is 22120201002002.

200200102021220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 10614355489024 + 189585746532196 = 3257968^2 + 13769014^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 200200102021195 and 200200102021204.

It is not an unprimeable number, because it can be changed into a prime (200200102021223) 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, 685376861 + ... + 685668900.

It is an arithmetic number, because the mean of its divisors is an integer number (6838090737975).

Almost surely, 2200200102021220 is an apocalyptic number.

200200102021220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200200102021220 is an abundant number, since it is smaller than the sum of its proper divisors (292142431112980).

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

200200102021220 is a wasteful number, since it uses less digits than its factorization.

200200102021220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1371045933 (or 1371045924 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 200200102021220 its reverse (22120201002002), we get a palindrome (222320303023222).

The spelling of 200200102021220 in words is "two hundred trillion, two hundred billion, one hundred two million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 149 196 245 298 490 596 745 980 1043 1490 2086 2980 4172 5215 7301 10430 14602 20860 29204 36505 73010 146020 1371045761 2742091522 5484183044 6855228805 9597320327 13710457610 19194640654 27420915220 38389281308 47986601635 67181242289 95973203270 134362484578 191946406540 204285818389 268724969156 335906211445 408571636778 671812422890 817143273556 1021429091945 1343624845780 1430000728723 2042858183890 2860001457446 4085716367780 5720002914892 7150003643615 10010005101061 14300007287230 20020010202122 28600014574460 40040020404244 50050025505305 100100051010610 200200102021220