Search a number
-
+
131412334020141 = 31920113307346669
BaseRepresentation
bin11101111000010011010001…
…011111010000011000101101
3122020021220012111122020002110
4131320103101133100120231
5114211024430002121031
61143253554241314233
736452141066616066
oct3570232137203055
9566256174566073
10131412334020141
1138965726707399
12128a4710935979
13584318c5a3415
1424645688d356d
15102d50a457c46
hex7784d17d062d

131412334020141 has 32 divisors (see below), whose sum is σ = 184586410585600. Its totient is φ = 82930667762880.

The previous prime is 131412334020119. The next prime is 131412334020169. The reversal of 131412334020141 is 141020433214131.

It is not a de Polignac number, because 131412334020141 - 211 = 131412334018093 is a prime.

It is a super-2 number, since 2×1314123340201412 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131412334020099 and 131412334020108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131412334020641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 378898155 + ... + 379244823.

It is an arithmetic number, because the mean of its divisors is an integer number (5768325330800).

Almost surely, 2131412334020141 is an apocalyptic number.

It is an amenable number.

131412334020141 is a deficient number, since it is larger than the sum of its proper divisors (53174076565459).

131412334020141 is a wasteful number, since it uses less digits than its factorization.

131412334020141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352009.

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 131412334020141 its reverse (141020433214131), we get a palindrome (272432767234272).

The spelling of 131412334020141 in words is "one hundred thirty-one trillion, four hundred twelve billion, three hundred thirty-four million, twenty thousand, one hundred forty-one".

Divisors: 1 3 19 57 2011 3307 6033 9921 38209 62833 114627 188499 346669 1040007 6586711 6650377 19760133 19951131 126357163 379071489 697151359 1146434383 2091454077 3439303149 13245875821 21782253277 39737627463 65346759831 2305479544213 6916438632639 43804111340047 131412334020141