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102104331 = 3729389431
BaseRepresentation
bin1100001010111…
…11110100001011
321010010102210220
412011133310023
5202114314311
614044241123
72346605160
oct605376413
9233112726
10102104331
11526a954a
122a2401a3
13181cc584
14d7bc067
158e6d206
hex615fd0b

102104331 has 32 divisors (see below), whose sum is σ = 161740800. Its totient is φ = 56058240.

The previous prime is 102104323. The next prime is 102104369. The reversal of 102104331 is 133401201.

It is not a de Polignac number, because 102104331 - 23 = 102104323 is a prime.

It is a super-3 number, since 3×1021043313 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 102104331.

It is not an unprimeable number, because it can be changed into a prime (102104371) 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, 236686 + ... + 237116.

It is an arithmetic number, because the mean of its divisors is an integer number (5054400).

Almost surely, 2102104331 is an apocalyptic number.

102104331 is a deficient number, since it is larger than the sum of its proper divisors (59636469).

102104331 is a wasteful number, since it uses less digits than its factorization.

102104331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 102104331 is about 10104.6687724042. The cubic root of 102104331 is about 467.3921220577.

Adding to 102104331 its reverse (133401201), we get a palindrome (235505532).

It can be divided in two parts, 10210 and 4331, that added together give a palindrome (14541).

The spelling of 102104331 in words is "one hundred two million, one hundred four thousand, three hundred thirty-one".

Divisors: 1 3 7 21 29 87 203 389 431 609 1167 1293 2723 3017 8169 9051 11281 12499 33843 37497 78967 87493 167659 236901 262479 502977 1173613 3520839 4862111 14586333 34034777 102104331