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102111330031332 = 223292109301130829
BaseRepresentation
bin10111001101111010100101…
…100011011101011011100100
3111101112202012011020221121120
4113031322211203131123210
5101340443000442000312
61001101144124413540
730336204643250166
oct2715724543353344
9441482164227546
10102111330031332
112a599198847316
12b551a399a72b0
1344c90985c84ab
141b30301382936
15bc123b51828c
hex5cdea58dd6e4

102111330031332 has 144 divisors (see below), whose sum is σ = 249113557492800. Its totient is φ = 32550047147520.

The previous prime is 102111330031327. The next prime is 102111330031339. The reversal of 102111330031332 is 233130033111201.

It is not an unprimeable number, because it can be changed into a prime (102111330031339) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3312168894 + ... + 3312199722.

Almost surely, 2102111330031332 is an apocalyptic number.

102111330031332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102111330031332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124556778746400).

102111330031332 is an abundant number, since it is smaller than the sum of its proper divisors (147002227461468).

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

102111330031332 is a wasteful number, since it uses less digits than its factorization.

102111330031332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34014 (or 33983 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 102111330031332 its reverse (233130033111201), we get a palindrome (335241363142533).

The spelling of 102111330031332 in words is "one hundred two trillion, one hundred eleven billion, three hundred thirty million, thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 29 58 87 109 116 174 218 327 348 436 654 841 1308 1682 2523 3011 3161 3364 5046 6022 6322 9033 9483 10092 12044 12644 18066 18966 30829 36132 37932 61658 87319 91669 92487 123316 174638 183338 184974 261957 275007 328199 349276 366676 369948 523914 550014 656398 894041 984597 1047828 1100028 1312796 1788082 1969194 2532251 2682123 3360361 3576164 3938388 5064502 5364246 6720722 7596753 9517771 10081083 10129004 10728492 13441444 15193506 19035542 20162166 25927189 28553313 30387012 38071084 40324332 51854378 57106626 77781567 92826119 97450469 103708756 114213252 155563134 185652238 194900938 276015359 278478357 292351407 311126268 371304476 389801876 552030718 556956714 584702814 828046077 1104061436 1113913428 1169405628 1656092154 2691957451 2826063601 3312184308 5383914902 5652127202 8075872353 8478190803 10118046971 10767829804 11304254404 16151744706 16956381606 20236093942 30354140913 32303489412 33912763212 40472187884 60708281826 78066766079 121416563652 156133532158 234200298237 293423362159 312267064316 468400596474 586846724318 880270086477 936801192948 1173693448636 1760540172954 3521080345908 8509277502611 17018555005222 25527832507833 34037110010444 51055665015666 102111330031332