Search a number
-
+
102154212384 = 2537791924243
BaseRepresentation
bin101111100100011011…
…1011001010000100000
3100202200022011200002120
41133020313121100200
53133202434244014
6114532355144240
710244322323040
oct1371067312040
9322608150076
10102154212384
113a361431814
121796b2a5080
13982cbcc123
144d311bd720
1529cd40eba9
hex17c8dd9420

102154212384 has 96 divisors (see below), whose sum is σ = 310342072320. Its totient is φ = 28817448192.

The previous prime is 102154212343. The next prime is 102154212397. The reversal of 102154212384 is 483212451201.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 909034 + ... + 1015209.

It is an arithmetic number, because the mean of its divisors is an integer number (3232729920).

Almost surely, 2102154212384 is an apocalyptic number.

102154212384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

102154212384 is an abundant number, since it is smaller than the sum of its proper divisors (208187859936).

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

102154212384 is a wasteful number, since it uses less digits than its factorization.

102154212384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1924342 (or 1924334 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

Adding to 102154212384 its reverse (483212451201), we get a palindrome (585366663585).

The spelling of 102154212384 in words is "one hundred two billion, one hundred fifty-four million, two hundred twelve thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 79 84 96 112 158 168 224 237 316 336 474 553 632 672 948 1106 1264 1659 1896 2212 2528 3318 3792 4424 6636 7584 8848 13272 17696 26544 53088 1924243 3848486 5772729 7696972 11545458 13469701 15393944 23090916 26939402 30787888 40409103 46181832 53878804 61575776 80818206 92363664 107757608 152015197 161636412 184727328 215515216 304030394 323272824 431030432 456045591 608060788 646545648 912091182 1064106379 1216121576 1293091296 1824182364 2128212758 2432243152 3192319137 3648364728 4256425516 4864486304 6384638274 7296729456 8512851032 12769276548 14593458912 17025702064 25538553096 34051404128 51077106192 102154212384