Search a number
-
+
102784405431 = 31912487144409
BaseRepresentation
bin101111110111001101…
…1011000111110110111
3100211022012222210102210
41133232123120332313
53141000301433211
6115115110304503
710266044013411
oct1375633307667
9324265883383
10102784405431
113a655132114
1217b06358133
139900639816
144d90b859b1
152a188e39a6
hex17ee6d8fb7

102784405431 has 16 divisors (see below), whose sum is σ = 144271366400. Its totient is φ = 64910818368.

The previous prime is 102784405363. The next prime is 102784405463. The reversal of 102784405431 is 134504487201.

It is a de Polignac number, because none of the positive numbers 2k-102784405431 is a prime.

It is a super-2 number, since 2×1027844054312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102784405431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102784405931) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 639555 + ... + 783963.

It is an arithmetic number, because the mean of its divisors is an integer number (9016960400).

Almost surely, 2102784405431 is an apocalyptic number.

102784405431 is a deficient number, since it is larger than the sum of its proper divisors (41486960969).

102784405431 is a wasteful number, since it uses less digits than its factorization.

102784405431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156918.

The product of its (nonzero) digits is 107520, while the sum is 39.

The spelling of 102784405431 in words is "one hundred two billion, seven hundred eighty-four million, four hundred five thousand, four hundred thirty-one".

Divisors: 1 3 19 57 12487 37461 144409 237253 433227 711759 2743771 8231313 1803235183 5409705549 34261468477 102784405431