Search a number
-
+
102303569214 = 23371133773009
BaseRepresentation
bin101111101000111000…
…1001001010100111110
3100210001201012210011000
41133101301021110332
53134004203203324
6114555252311130
710251114663510
oct1372161112476
9323051183130
10102303569214
113a428774810
12179b13124a6
139854b34352
144d46d7bbb0
1529db5b39c9
hex17d1c4953e

102303569214 has 128 divisors (see below), whose sum is σ = 284283417600. Its totient is φ = 26493143040.

The previous prime is 102303569183. The next prime is 102303569243. The reversal of 102303569214 is 412965303201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1364742 + ... + 1437750.

It is an arithmetic number, because the mean of its divisors is an integer number (2220964200).

Almost surely, 2102303569214 is an apocalyptic number.

102303569214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102303569214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142141708800).

102303569214 is an abundant number, since it is smaller than the sum of its proper divisors (181979848386).

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

102303569214 is a wasteful number, since it uses less digits than its factorization.

102303569214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73375 (or 73369 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 102303569214 in words is "one hundred two billion, three hundred three million, five hundred sixty-nine thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 126 154 189 198 231 297 337 378 462 594 674 693 1011 1386 2022 2079 2359 3033 3707 4158 4718 6066 7077 7414 9099 11121 14154 18198 21231 22242 25949 33363 42462 51898 63693 66726 73009 77847 100089 127386 146018 155694 200178 219027 233541 438054 467082 511063 657081 700623 803099 1022126 1314162 1401246 1533189 1606198 1971243 2409297 3066378 3942486 4599567 4818594 5621693 7227891 9199134 11243386 13798701 14455782 16865079 21683673 24604033 27597402 33730158 43367346 49208066 50595237 73812099 101190474 147624198 151785711 172228231 221436297 270644363 303571422 344456462 442872594 516684693 541288726 664308891 811933089 1033369386 1328617782 1550054079 1623866178 1894510541 2435799267 3100108158 3789021082 4650162237 4871598534 5683531623 7307397801 9300324474 11367063246 14614795602 17050594869 34101189738 51151784607 102303569214