Search a number
-
+
201010020201200 = 24527121758988737
BaseRepresentation
bin101101101101000101001010…
…110110011011001011110000
3222100201100222220211110000102
4231231011022312123023300
5202321322010132414300
61551302421203411532
760224331454343240
oct5555051266331360
9870640886743012
10201010020201200
11590589640a0761
121a665109083ba8
138821218498a52
14378cd18b6bb20
151838aea3540d5
hexb6d14ad9b2f0

201010020201200 has 120 divisors (see below), whose sum is σ = 552369598812192. Its totient is φ = 68861090856960.

The previous prime is 201010020201167. The next prime is 201010020201223. The reversal of 201010020201200 is 2102020010102.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26086769 + ... + 32901968.

Almost surely, 2201010020201200 is an apocalyptic number.

201010020201200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201010020201200 is an abundant number, since it is smaller than the sum of its proper divisors (351359578610992).

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

201010020201200 is a wasteful number, since it uses less digits than its factorization.

201010020201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58989979 (or 58989968 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 201010020201200 its reverse (2102020010102), we get a palindrome (203112040211302).

The spelling of 201010020201200 in words is "two hundred one trillion, ten billion, twenty million, two hundred one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1217 1400 2434 2800 4868 6085 8519 9736 12170 17038 19472 24340 30425 34076 42595 48680 60850 68152 85190 97360 121700 136304 170380 212975 243400 340760 425950 486800 681520 851900 1703800 3407600 58988737 117977474 235954948 294943685 412921159 471909896 589887370 825842318 943819792 1179774740 1474718425 1651684636 2064605795 2359549480 2949436850 3303369272 4129211590 4719098960 5898873700 6606738544 8258423180 10323028975 11797747400 16516846360 20646057950 23595494800 33033692720 41292115900 71789292929 82584231800 143578585858 165168463600 287157171716 358946464645 502525050503 574314343432 717892929290 1005050101006 1148628686864 1435785858580 1794732323225 2010100202012 2512625252515 2871571717160 3589464646450 4020200404024 5025250505030 5743143434320 7178929292900 8040400808048 10050501010060 12563126262575 14357858585800 20101002020120 25126252525150 28715717171600 40202004040240 50252505050300 100505010100600 201010020201200