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102321111310 = 2511233110112917
BaseRepresentation
bin101111101001011010…
…0000100000100001110
3100210002221020000101021
41133102310010010032
53134023201030220
6115001120304354
710251420044605
oct1372264040416
9323087200337
10102321111310
113a437666410
12179b71720ba
139858666aa2
144d49426a3c
1529dcdcb4aa
hex17d2d0410e

102321111310 has 128 divisors (see below), whose sum is σ = 218580000768. Its totient is φ = 34098240000.

The previous prime is 102321111281. The next prime is 102321111329. The reversal of 102321111310 is 13111123201.

It is a happy number.

It is a super-2 number, since 2×1023211113102 (a number of 23 digits) contains 22 as substring.

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, 7914972 + ... + 7927888.

It is an arithmetic number, because the mean of its divisors is an integer number (1707656256).

Almost surely, 2102321111310 is an apocalyptic number.

102321111310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102321111310 is an abundant number, since it is smaller than the sum of its proper divisors (116258889458).

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

102321111310 is a wasteful number, since it uses less digits than its factorization.

102321111310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13090.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 102321111310 its reverse (13111123201), we get a palindrome (115432234511).

The spelling of 102321111310 in words is "one hundred two billion, three hundred twenty-one million, one hundred eleven thousand, three hundred ten".

Divisors: 1 2 5 10 11 22 23 31 46 55 62 101 110 115 155 202 230 253 310 341 505 506 682 713 1010 1111 1265 1426 1705 2222 2323 2530 3131 3410 3565 4646 5555 6262 7130 7843 11110 11615 12917 15655 15686 23230 25553 25834 31310 34441 39215 51106 64585 68882 72013 78430 127765 129170 142087 144026 172205 255530 284174 297091 344410 360065 400427 594182 710435 720130 792143 800854 1304617 1420870 1485455 1584286 2002135 2609234 2970910 3268001 3960715 4004270 4404697 6523085 6536002 7921430 8809394 9209821 13046170 14350787 16340005 18419642 22023485 28701574 30006191 32680010 40443127 44046970 46049105 60012382 71753935 80886254 92098210 101308031 143507870 150030955 202215635 202616062 300061910 330068101 404431270 444874397 506540155 660136202 889748794 930191921 1013080310 1650340505 1860383842 2224371985 3300681010 4448743970 4650959605 9301919210 10232111131 20464222262 51160555655 102321111310