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1321230100140 = 22325101269270167
BaseRepresentation
bin10011001110011111011…
…100110110011010101100
311200022022210112021122100
4103032133130312122230
5133121334401201030
62450544214215100
7164312212360146
oct23163734663254
94608283467570
101321230100140
1146a36aa466a5
12194091354490
139778c5a4c82
1447d3ad97c96
152457cb75360
hex1339f7366ac

1321230100140 has 144 divisors (see below), whose sum is σ = 4062472989120. Its totient is φ = 347541542400.

The previous prime is 1321230100097. The next prime is 1321230100171. The reversal of 1321230100140 is 410010321231.

1321230100140 is a `hidden beast` number, since 1 + 321 + 2 + 301 + 0 + 0 + 1 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4755337 + ... + 5025503.

It is an arithmetic number, because the mean of its divisors is an integer number (28211617980).

Almost surely, 21321230100140 is an apocalyptic number.

1321230100140 is a gapful number since it is divisible by the number (10) 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 1321230100140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2031236494560).

1321230100140 is an abundant number, since it is smaller than the sum of its proper divisors (2741242888980).

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

1321230100140 is a wasteful number, since it uses less digits than its factorization.

1321230100140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270552 (or 270547 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1321230100140 its reverse (410010321231), we get a palindrome (1731240421371).

The spelling of 1321230100140 in words is "one trillion, three hundred twenty-one billion, two hundred thirty million, one hundred thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 269 303 404 505 538 606 807 909 1010 1076 1212 1345 1515 1614 1818 2020 2421 2690 3030 3228 3636 4035 4545 4842 5380 6060 8070 9090 9684 12105 16140 18180 24210 27169 48420 54338 81507 108676 135845 163014 244521 270167 271690 326028 407535 489042 540334 543380 810501 815070 978084 1080668 1222605 1350835 1621002 1630140 2431503 2445210 2701670 3242004 4052505 4863006 4890420 5403340 8105010 9726012 12157515 16210020 24315030 27286867 48630060 54573734 72674923 81860601 109147468 136434335 145349846 163721202 218024769 245581803 272868670 290699692 327442404 363374615 409303005 436049538 491163606 545737340 654074307 726749230 818606010 872099076 982327212 1090123845 1227909015 1308148614 1453498460 1637212020 2180247690 2455818030 2616297228 3270371535 4360495380 4911636060 6540743070 7340167223 13081486140 14680334446 22020501669 29360668892 36700836115 44041003338 66061505007 73401672230 88082006676 110102508345 132123010014 146803344460 220205016690 264246020028 330307525035 440410033380 660615050070 1321230100140