Search a number
-
+
102114030402 = 2345967159457
BaseRepresentation
bin101111100011001111…
…0000111001101000010
3100202120111120012210000
41133012132013031002
53133112142433102
6114524402020430
710243323636306
oct1370636071502
9322514505700
10102114030402
113a34078746a
1217959947716
1398247a07c7
144d29b1dd06
1529c9b2401c
hex17c6787342

102114030402 has 80 divisors (see below), whose sum is σ = 236163676320. Its totient is φ = 32961468672.

The previous prime is 102114030391. The next prime is 102114030437. The reversal of 102114030402 is 204030411201.

102114030402 is a `hidden beast` number, since 10 + 211 + 40 + 3 + 0 + 402 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 560658 + ... + 720114.

It is an arithmetic number, because the mean of its divisors is an integer number (2952045954).

Almost surely, 2102114030402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102114030402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118081838160).

102114030402 is an abundant number, since it is smaller than the sum of its proper divisors (134049645918).

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

102114030402 is a wasteful number, since it uses less digits than its factorization.

102114030402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159597 (or 159588 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 102114030402 its reverse (204030411201), we get a palindrome (306144441603).

The spelling of 102114030402 in words is "one hundred two billion, one hundred fourteen million, thirty thousand, four hundred two".

Divisors: 1 2 3 6 9 18 27 54 59 67 81 118 134 162 177 201 354 402 531 603 1062 1206 1593 1809 3186 3618 3953 4779 5427 7906 9558 10854 11859 23718 35577 71154 106731 159457 213462 318914 320193 478371 640386 956742 1435113 2870226 4305339 8610678 9407963 10683619 12916017 18815926 21367238 25832034 28223889 32050857 56447778 64101714 84671667 96152571 169343334 192305142 254015001 288457713 508030002 576915426 630333521 762045003 865373139 1260667042 1524090006 1730746278 1891000563 3782001126 5673001689 11346003378 17019005067 34038010134 51057015201 102114030402