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42315020502261 = 3132967558415093
BaseRepresentation
bin10011001111100001110111…
…10001000000010011110101
312112211021110112102110112020
421213300323301000103311
521021242130222033021
6225555130235543353
711625105440454063
oct1147607361002365
9175737415373466
1042315020502261
1112534776a17891
1248b4b268bab59
131a7c39b8046a0
14a640b4d0b033
154d5a9ddbc7c6
hex267c3bc404f5

42315020502261 has 32 divisors (see below), whose sum is σ = 63793340338560. Its totient is φ = 24766826160384.

The previous prime is 42315020502233. The next prime is 42315020502263. The reversal of 42315020502261 is 16220502051324.

It is a happy number.

42315020502261 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42315020502261 - 25 = 42315020502229 is a prime.

It is a super-2 number, since 2×423150205022612 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42315020502263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 279131770 + ... + 279283323.

It is an arithmetic number, because the mean of its divisors is an integer number (1993541885580).

Almost surely, 242315020502261 is an apocalyptic number.

It is an amenable number.

42315020502261 is a deficient number, since it is larger than the sum of its proper divisors (21478319836299).

42315020502261 is a wasteful number, since it uses less digits than its factorization.

42315020502261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558415205.

The product of its (nonzero) digits is 28800, while the sum is 33.

Adding to 42315020502261 its reverse (16220502051324), we get a palindrome (58535522553585).

The spelling of 42315020502261 in words is "forty-two trillion, three hundred fifteen billion, twenty million, five hundred two thousand, two hundred sixty-one".

Divisors: 1 3 13 29 39 67 87 201 377 871 1131 1943 2613 5829 25259 75777 558415093 1675245279 7259396209 16194037697 21778188627 37413811231 48582113091 112241433693 210522490061 486379546003 631567470183 1085000525699 1459138638009 3255001577097 14105006834087 42315020502261