Search a number
-
+
102014302431 = 3477156917909
BaseRepresentation
bin101111100000010000…
…1101011100011011111
3100202022112220111201110
41133000201223203133
53132411130134211
6114510440313103
710241003156226
oct1370041534337
9322275814643
10102014302431
113a29a461358
1217930472793
139809c23a82
144d1a79dcbd
1529c0ec4ea6
hex17c086b8df

102014302431 has 32 divisors (see below), whose sum is σ = 141125068800. Its totient is φ = 65506031360.

The previous prime is 102014302421. The next prime is 102014302451. The reversal of 102014302431 is 134203410201.

It is not a de Polignac number, because 102014302431 - 222 = 102010108127 is a prime.

It is a super-2 number, since 2×1020143024312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102014302398 and 102014302407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102014302421) 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, 5687305 + ... + 5705213.

It is an arithmetic number, because the mean of its divisors is an integer number (4410158400).

Almost surely, 2102014302431 is an apocalyptic number.

102014302431 is a deficient number, since it is larger than the sum of its proper divisors (39110766369).

102014302431 is a wasteful number, since it uses less digits than its factorization.

102014302431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18599.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 102014302431 its reverse (134203410201), we get a palindrome (236217712632).

The spelling of 102014302431 in words is "one hundred two billion, fourteen million, three hundred two thousand, four hundred thirty-one".

Divisors: 1 3 47 71 141 213 569 1707 3337 10011 17909 26743 40399 53727 80229 121197 841723 1271539 1898753 2525169 3814617 5696259 10190221 30570663 59762333 179286999 478940387 723505691 1436821161 2170517073 34004767477 102014302431