Search a number
-
+
201012111202200 = 233521789187266733
BaseRepresentation
bin101101101101000111000111…
…011110111101011110011000
3222100201120101122102022010220
4231231013013132331132120
5202321340300431432300
61551303404501040040
760224434334510124
oct5555070736753630
9870646348368126
10201012111202200
1159059837442761
121a6655b13b6020
13882148c75584c
14378d076754584
151838bbdbdeda0
hexb6d1c77bd798

201012111202200 has 96 divisors (see below), whose sum is σ = 623485864179600. Its totient is φ = 53573266690560.

The previous prime is 201012111202169. The next prime is 201012111202219. The reversal of 201012111202200 is 2202111210102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201012111202200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92559967 + ... + 94706766.

Almost surely, 2201012111202200 is an apocalyptic number.

201012111202200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201012111202200 is an abundant number, since it is smaller than the sum of its proper divisors (422473752977400).

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

201012111202200 is a wasteful number, since it uses less digits than its factorization.

201012111202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187268541 (or 187268532 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 201012111202200 its reverse (2202111210102), we get a palindrome (203214222412302).

The spelling of 201012111202200 in words is "two hundred one trillion, twelve billion, one hundred eleven million, two hundred two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1789 3578 5367 7156 8945 10734 14312 17890 21468 26835 35780 42936 44725 53670 71560 89450 107340 134175 178900 214680 268350 357800 536700 1073400 187266733 374533466 561800199 749066932 936333665 1123600398 1498133864 1872667330 2247200796 2809000995 3745334660 4494401592 4681668325 5618001990 7490669320 9363336650 11236003980 14045004975 18726673300 22472007960 28090009950 37453346600 56180019900 112360039800 335020185337 670040370674 1005060556011 1340080741348 1675100926685 2010121112022 2680161482696 3350201853370 4020242224044 5025302780055 6700403706740 8040484448088 8375504633425 10050605560110 13400807413480 16751009266850 20101211120220 25126513900275 33502018533700 40202422240440 50253027800550 67004037067400 100506055601100 201012111202200