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201110211111012 = 22377734570767763
BaseRepresentation
bin101101101110100010011110…
…101100011010100001100100
3222101001221121101201000021220
4231232202132230122201210
5202324442203021023022
61551420431110340340
760234506340126150
oct5556423654324144
9871057541630256
10201110211111012
11590973a8270165
121a68060a95a6b0
13882a7c46cc078
143793b012c6060
15183b5111ee85c
hexb6e89eb1a864

201110211111012 has 96 divisors (see below), whose sum is σ = 537007351974912. Its totient is φ = 57383624121216.

The previous prime is 201110211110929. The next prime is 201110211111127. The reversal of 201110211111012 is 210111112011102.

201110211111012 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 201110211110982 and 201110211111000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2967813043 + ... + 2967880805.

It is an arithmetic number, because the mean of its divisors is an integer number (5593826583072).

Almost surely, 2201110211111012 is an apocalyptic number.

It is an amenable number.

201110211111012 is an abundant number, since it is smaller than the sum of its proper divisors (335897140863900).

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

201110211111012 is a wasteful number, since it uses less digits than its factorization.

201110211111012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114257 (or 114255 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 201110211111012 its reverse (210111112011102), we get a palindrome (411221323122114).

The spelling of 201110211111012 in words is "two hundred one trillion, one hundred ten billion, two hundred eleven million, one hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 773 1546 2319 3092 4638 5411 9276 10822 16233 21644 32466 45707 64932 67763 91414 135526 137121 182828 203289 271052 274242 319949 406578 474341 548484 639898 813156 948682 959847 1279796 1423023 1897364 1919694 2846046 3839388 5692092 35331511 52380799 70663022 104761598 105994533 141326044 157142397 209523196 211989066 247320577 314284794 366665593 423978132 494641154 628569588 733331186 741961731 989282308 1099996779 1466662372 1483923462 2199993558 2967846924 3097243441 4399987116 6194486882 9291730323 12388973764 18583460646 21680704087 37166921292 43361408174 65042112261 86722816348 130084224522 260168449044 2394169179893 4788338359786 7182507539679 9576676719572 14365015079358 16759184259251 28730030158716 33518368518502 50277552777753 67036737037004 100555105555506 201110211111012