Search a number
-
+
31410002140101 = 3213256336680087
BaseRepresentation
bin1110010010001001101100…
…00001010001101111000101
311010012202201001110220202100
413021010312001101233011
513104110141021440401
6150445320014302313
76421204064003454
oct711046601215705
9133182631426670
1031410002140101
11a00a9a8395232
1236335761b7999
13146ac48302700
147a8376114b9b
153970a60bab86
hex1c9136051bc5

31410002140101 has 36 divisors (see below), whose sum is σ = 49215728154528. Its totient is φ = 19294898998752.

The previous prime is 31410002140091. The next prime is 31410002140171. The reversal of 31410002140101 is 10104120001413.

31410002140101 is a `hidden beast` number, since 31 + 410 + 0 + 0 + 214 + 0 + 10 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2k-31410002140101 is a prime.

It is a super-2 number, since 2×314100021401012 (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 (31410002140171) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17483721 + ... + 19196366.

It is an arithmetic number, because the mean of its divisors is an integer number (1367103559848).

Almost surely, 231410002140101 is an apocalyptic number.

It is an amenable number.

31410002140101 is a deficient number, since it is larger than the sum of its proper divisors (17805726014427).

31410002140101 is a wasteful number, since it uses less digits than its factorization.

31410002140101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36680682 (or 36680666 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 31410002140101 its reverse (10104120001413), we get a palindrome (41514122141514).

The spelling of 31410002140101 in words is "thirty-one trillion, four hundred ten billion, two million, one hundred forty thousand, one hundred one".

Divisors: 1 3 9 13 39 117 169 507 563 1521 1689 5067 7319 21957 65871 95147 285441 856323 36680087 110040261 330120783 476841131 1430523393 4291570179 6198934703 18596804109 20650888981 55790412327 61952666943 185858000829 268461556753 805384670259 2416154010777 3490000237789 10470000713367 31410002140101