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31130230120 = 23511435872803
BaseRepresentation
bin11100111111100000…
…011001110101101000
32222100112000112121221
4130333200121311220
51002223314330440
622145004511424
72151302406253
oct347740316550
988315015557
1031130230120
1112225226710
12604954b574
132c2159b712
1417145b609a
15c22e81d4a
hex73f819d68

31130230120 has 128 divisors (see below), whose sum is σ = 78348695040. Its totient is φ = 11034051840.

The previous prime is 31130230111. The next prime is 31130230139. The reversal of 31130230120 is 2103203113.

It is a junction number, because it is equal to n+sod(n) for n = 31130230094 and 31130230103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11104639 + ... + 11107441.

It is an arithmetic number, because the mean of its divisors is an integer number (612099180).

Almost surely, 231130230120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31130230120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39174347520).

31130230120 is an abundant number, since it is smaller than the sum of its proper divisors (47218464920).

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

31130230120 is a wasteful number, since it uses less digits than its factorization.

31130230120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3455 (or 3451 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 31130230120 its reverse (2103203113), we get a palindrome (33233433233).

The spelling of 31130230120 in words is "thirty-one billion, one hundred thirty million, two hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 43 44 55 86 88 110 172 215 220 344 430 440 473 587 860 946 1174 1720 1892 2348 2365 2803 2935 3784 4696 4730 5606 5870 6457 9460 11212 11740 12914 14015 18920 22424 23480 25241 25828 28030 30833 32285 50482 51656 56060 61666 64570 100964 112120 120529 123332 126205 129140 154165 201928 241058 246664 252410 258280 277651 308330 482116 504820 555302 602645 616660 964232 1009640 1110604 1205290 1233320 1325819 1388255 1645361 2221208 2410580 2651638 2776510 3290722 4821160 5303276 5553020 6581444 6629095 8226805 10606552 11106040 13162888 13258190 16453610 18098971 26516380 32907220 36197942 53032760 65814440 70750523 72395884 90494855 141501046 144791768 180989710 283002092 353752615 361979420 566004184 707505230 723958840 778255753 1415010460 1556511506 2830020920 3113023012 3891278765 6226046024 7782557530 15565115060 31130230120