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120141331000 = 2353373978179
BaseRepresentation
bin110111111100011111…
…0110011101000111000
3102111002212002222011221
41233320332303220320
53432022140043000
6131105301401424
711452133315065
oct1577076635070
9374085088157
10120141331000
1146a517161a9
121b34b109274
13b43856c492
145b5a015c6c
1531d25c161a
hex1bf8fb3a38

120141331000 has 128 divisors (see below), whose sum is σ = 289491508800. Its totient is φ = 46634227200.

The previous prime is 120141330929. The next prime is 120141331043. The reversal of 120141331000 is 133141021.

It is a super-2 number, since 2×1201413310002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14684911 + ... + 14693089.

Almost surely, 2120141331000 is an apocalyptic number.

120141331000 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 120141331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144745754400).

120141331000 is an abundant number, since it is smaller than the sum of its proper divisors (169350177800).

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

120141331000 is a wasteful number, since it uses less digits than its factorization.

120141331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8634 (or 8620 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 120141331000 its reverse (133141021), we get a palindrome (120274472021).

The spelling of 120141331000 in words is "one hundred twenty billion, one hundred forty-one million, three hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 125 148 185 200 250 296 370 397 500 740 794 925 1000 1480 1588 1850 1985 3176 3700 3970 4625 7400 7940 8179 9250 9925 14689 15880 16358 18500 19850 29378 32716 37000 39700 40895 49625 58756 65432 73445 79400 81790 99250 117512 146890 163580 198500 204475 293780 302623 327160 367225 397000 408950 587560 605246 734450 817900 1022375 1210492 1468900 1513115 1635800 1836125 2044750 2420984 2937800 3026230 3247063 3672250 4089500 6052460 6494126 7344500 7565575 8179000 12104920 12988252 14689000 15131150 16235315 25976504 30262300 32470630 37827875 60524600 64941260 75655750 81176575 120141331 129882520 151311500 162353150 240282662 302623000 324706300 405882875 480565324 600706655 649412600 811765750 961130648 1201413310 1623531500 2402826620 3003533275 3247063000 4805653240 6007066550 12014133100 15017666375 24028266200 30035332750 60070665500 120141331000