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231201020131120 = 24513379173655003
BaseRepresentation
bin110100100100011010101110…
…101011010011011100110000
31010022121121020121120221212001
4310210122232223103130300
5220300444142123143440
62135420140554143344
766461502544464214
oct6444325653233460
91108547217527761
10231201020131120
1167738890514066
1221b20381a21b54
139c01216450cc0
144114290ba6944
151bae1083aeb9a
hexd246aead3730

231201020131120 has 160 divisors (see below), whose sum is σ = 594603230582592. Its totient is φ = 83050145427456.

The previous prime is 231201020131097. The next prime is 231201020131141. The reversal of 231201020131120 is 21131020102132.

231201020131120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 352649539 + ... + 353304541.

Almost surely, 2231201020131120 is an apocalyptic number.

231201020131120 is a gapful number since it is divisible by the number (20) 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 231201020131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297301615291296).

231201020131120 is an abundant number, since it is smaller than the sum of its proper divisors (363402210451472).

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

231201020131120 is a wasteful number, since it uses less digits than its factorization.

231201020131120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664239 (or 664233 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 231201020131120 its reverse (21131020102132), we get a palindrome (252332040233252).

The spelling of 231201020131120 in words is "two hundred thirty-one trillion, two hundred one billion, twenty million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 37 40 52 65 74 80 104 130 148 185 208 260 296 370 481 520 592 740 962 1040 1480 1924 2405 2960 3848 4810 7696 9173 9620 18346 19240 36692 38480 45865 73384 91730 119249 146768 183460 238498 339401 366920 476996 596245 655003 678802 733840 953992 1192490 1310006 1357604 1697005 1907984 2384980 2620012 2715208 3275015 3394010 4412213 4769960 5240024 5430416 6550030 6788020 8515039 8824426 9539920 10480048 13100060 13576040 17030078 17648852 22061065 24235111 26200120 27152080 34060156 35297704 42575195 44122130 48470222 52400240 68120312 70595408 85150390 88244260 96940444 121175555 136240624 170300780 176488520 193880888 242351110 315056443 340601560 352977040 387761776 484702220 630112886 681203120 969404440 1260225772 1575282215 1938808880 2520451544 3150564430 5040903088 6008342519 6301128860 12016685038 12602257720 24033370076 25204515440 30041712595 48066740152 60083425190 78108452747 96133480304 120166850380 156216905494 222308673203 240333700760 312433810988 390542263735 444617346406 480667401520 624867621976 781084527470 889234692812 1111543366015 1249735243952 1562169054940 1778469385624 2223086732030 2890012751639 3124338109880 3556938771248 4446173464060 5780025503278 6248676219760 8892346928120 11560051006556 14450063758195 17784693856240 23120102013112 28900127516390 46240204026224 57800255032780 115600510065560 231201020131120