Search a number
-
+
131422413241002 = 231329108315364241
BaseRepresentation
bin11101111000011100101010…
…010000011011101010101010
3122020022212012221110200210210
4131320130222100123222222
5114211211100242203002
61143302342334121550
736452645625600462
oct3570345220335252
9566285187420723
10131422413241002
1138969a29110194
12128a66643502b6
13584410780a430
142464c43398ba2
15102d8ea26396c
hex77872a41baaa

131422413241002 has 64 divisors (see below), whose sum is σ = 292851565493760. Its totient is φ = 39039651302400.

The previous prime is 131422413241001. The next prime is 131422413241043. The reversal of 131422413241002 is 200142314224131.

It is a happy number.

It is a super-3 number, since 3×1314224132410023 (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (131422413241001) 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, 21817602 + ... + 27181842.

It is an arithmetic number, because the mean of its divisors is an integer number (4575805710840).

Almost surely, 2131422413241002 is an apocalyptic number.

131422413241002 is an abundant number, since it is smaller than the sum of its proper divisors (161429152252758).

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

131422413241002 is a wasteful number, since it uses less digits than its factorization.

131422413241002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5375119.

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 131422413241002 its reverse (200142314224131), we get a palindrome (331564727465133).

The spelling of 131422413241002 in words is "one hundred thirty-one trillion, four hundred twenty-two billion, four hundred thirteen million, two hundred forty-one thousand, two".

Divisors: 1 2 3 6 13 26 29 39 58 78 87 174 377 754 1131 2262 10831 21662 32493 64986 140803 281606 314099 422409 628198 844818 942297 1884594 4083287 5364241 8166574 10728482 12249861 16092723 24499722 32185446 69735133 139470266 155562989 209205399 311125978 418410798 466688967 933377934 2022318857 4044637714 6066956571 12133913142 58100094271 116200188542 174300282813 348600565626 755301225523 1510602451046 1684902733859 2265903676569 3369805467718 4531807353138 5054708201577 10109416403154 21903735540167 43807471080334 65711206620501 131422413241002