Search a number
-
+
131030012230200 = 233252292510153491
BaseRepresentation
bin11101110010101111001101…
…010101010111101000111000
3122011221100100211201222022100
4131302233031111113220320
5114133243431112331300
61142402205010423400
736412414565205066
oct3562571525275070
9564840324658270
10131030012230200
1138828574a5a956
12128425b1b91b60
135816100608805
14244dc5a515036
1510235d0a52700
hex772bcd557a38

131030012230200 has 144 divisors (see below), whose sum is σ = 455216335774200. Its totient is φ = 33736462905600.

The previous prime is 131030012230151. The next prime is 131030012230291. The reversal of 131030012230200 is 2032210030131.

131030012230200 is a `hidden beast` number, since 1 + 3 + 10 + 300 + 122 + 30 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1255024546 + ... + 1255128945.

Almost surely, 2131030012230200 is an apocalyptic number.

131030012230200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131030012230200 is an abundant number, since it is smaller than the sum of its proper divisors (324186323544000).

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

131030012230200 is a wasteful number, since it uses less digits than its factorization.

131030012230200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2510153542 (or 2510153530 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 131030012230200 its reverse (2032210030131), we get a palindrome (133062222260331).

The spelling of 131030012230200 in words is "one hundred thirty-one trillion, thirty billion, twelve million, two hundred thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 29 30 36 40 45 50 58 60 72 75 87 90 100 116 120 145 150 174 180 200 225 232 261 290 300 348 360 435 450 522 580 600 696 725 870 900 1044 1160 1305 1450 1740 1800 2088 2175 2610 2900 3480 4350 5220 5800 6525 8700 10440 13050 17400 26100 52200 2510153491 5020306982 7530460473 10040613964 12550767455 15060920946 20081227928 22591381419 25101534910 30121841892 37652302365 45182762838 50203069820 60243683784 62753837275 72794451239 75304604730 90365525676 100406139640 112956907095 125507674550 145588902478 150609209460 180731051352 188261511825 218383353717 225913814190 251015349100 291177804956 301218418920 363972256195 376523023650 436766707434 451827628380 502030698200 564784535475 582355609912 655150061151 727944512390 753046047300 873533414868 903655256760 1091916768585 1129569070950 1310300122302 1455889024780 1506092094600 1747066829736 1819861280975 2183833537170 2259138141900 2620600244604 2911778049560 3275750305755 3639722561950 4367667074340 4518276283800 5241200489208 5459583842925 6551500611510 7279445123900 8735334148680 10919167685850 13103001223020 14558890247800 16378751528775 21838335371700 26206002446040 32757503057550 43676670743400 65515006115100 131030012230200