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201002222211100 = 225219531996049873
BaseRepresentation
bin101101101100111101111010…
…000011011101000000011100
3222100200121212110112111121021
4231230331322003131000130
5202321210022341223400
61551255051321413524
760223634305461232
oct5554757203350034
9870617773474537
10201002222211100
1159055622359342
121a6636b163a2a4
138820574a64a1b
14378c7b924a952
1518387e095d71a
hexb6cf7a0dd01c

201002222211100 has 72 divisors (see below), whose sum is σ = 467794248470640. Its totient is φ = 74732107207680.

The previous prime is 201002222211079. The next prime is 201002222211103. The reversal of 201002222211100 is 1112222200102.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201002222211103) 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, 997924237 + ... + 998125636.

It is an arithmetic number, because the mean of its divisors is an integer number (6497142339870).

Almost surely, 2201002222211100 is an apocalyptic number.

201002222211100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201002222211100 is an abundant number, since it is smaller than the sum of its proper divisors (266792026259540).

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

201002222211100 is a wasteful number, since it uses less digits than its factorization.

201002222211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1996049959 (or 1996049952 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 201002222211100 its reverse (1112222200102), we get a palindrome (202114444411202).

It can be divided in two parts, 20100222 and 2211100, that added together give a palindrome (22311322).

The spelling of 201002222211100 in words is "two hundred one trillion, two billion, two hundred twenty-two million, two hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 53 76 95 100 106 190 212 265 380 475 530 950 1007 1060 1325 1900 2014 2650 4028 5035 5300 10070 20140 25175 50350 100700 1996049873 3992099746 7984199492 9980249365 19960498730 37924947587 39920997460 49901246825 75849895174 99802493650 105790643269 151699790348 189624737935 199604987300 211581286538 379249475870 423162573076 528953216345 758498951740 948123689675 1057906432690 1896247379350 2010022222111 2115812865380 2644766081725 3792494758700 4020044444222 5289532163450 8040088888444 10050111110555 10579064326900 20100222221110 40200444442220 50250555552775 100501111105550 201002222211100