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202220002212100 = 2252113149386331091
BaseRepresentation
bin101101111110101100000011…
…011001011111100100000100
3222112000001011122110020201021
4231332230003121133210010
5203001133031031241400
61554030330405240524
760410625111626005
oct5576540331374404
9875001148406637
10202220002212100
1159485026425334
121a81b711703144
1388ab358b12b82
1437d1700c951ac
15185a31654771a
hexb7eb0365f904

202220002212100 has 144 divisors (see below), whose sum is σ = 445801598121600. Its totient is φ = 79610934323200.

The previous prime is 202220002212077. The next prime is 202220002212119. The reversal of 202220002212100 is 1212200022202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6504117555 + ... + 6504148645.

It is an arithmetic number, because the mean of its divisors is an integer number (3095844431400).

Almost surely, 2202220002212100 is an apocalyptic number.

202220002212100 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 202220002212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222900799060800).

202220002212100 is an abundant number, since it is smaller than the sum of its proper divisors (243581595909500).

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

202220002212100 is a wasteful number, since it uses less digits than its factorization.

202220002212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35230 (or 35223 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 202220002212100 its reverse (1212200022202), we get a palindrome (203432202234302).

The spelling of 202220002212100 in words is "two hundred two trillion, two hundred twenty billion, two million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 113 149 226 298 452 565 596 745 1130 1490 2260 2825 2980 3725 3863 5650 7450 7726 11300 14900 15452 16837 19315 31091 33674 38630 62182 67348 77260 84185 96575 124364 155455 168370 193150 310910 336740 386300 420925 436519 575587 621820 777275 841850 873038 1151174 1554550 1683700 1746076 2182595 2302348 2877935 3109100 3513283 4365190 4632559 5755870 7026566 8730380 9265118 10912975 11511740 14053132 14389675 17566415 18530236 21825950 23162795 28779350 35132830 43651900 46325590 57558700 65041331 70265660 87832075 92651180 115813975 120104533 130082662 175664150 231627950 240209066 260165324 325206655 351328300 463255900 480418132 523479167 600522665 650413310 1046958334 1201045330 1300826620 1626033275 2093916668 2402090660 2617395835 3002613325 3252066550 5234791670 6005226650 6504133100 10469583340 12010453300 13086979175 13571812229 17895575417 26173958350 27143624458 35791150834 52347916700 54287248916 67859061145 71582301668 89477877085 135718122290 178955754170 271436244580 339295305725 357911508340 447389385425 678590611450 894778770850 1357181222900 1789557541700 2022200022121 4044400044242 8088800088484 10111000110605 20222000221210 40444000442420 50555000553025 101110001106050 202220002212100