Search a number
-
+
31023200131120 = 2451771347925891
BaseRepresentation
bin1110000110111001001101…
…10100101101100000110000
311001211210022011020221211201
413003130212310231200300
513031241003213143440
6145551510021020544
76351231551116411
oct703344664554060
9131753264227751
1031023200131120
11998095777892a
123590606b54754
131440624098b12
14793760ad9808
1538beb81d319a
hex1c3726d2d830

31023200131120 has 160 divisors (see below), whose sum is σ = 77670754039296. Its totient is φ = 11481628569600.

The previous prime is 31023200131093. The next prime is 31023200131139. The reversal of 31023200131120 is 2113100232013.

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, 33043375 + ... + 33969265.

Almost surely, 231023200131120 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 31023200131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38835377019648).

31023200131120 is an abundant number, since it is smaller than the sum of its proper divisors (46647553908176).

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

31023200131120 is a wasteful number, since it uses less digits than its factorization.

31023200131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926339 (or 926333 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 31023200131120 its reverse (2113100232013), we get a palindrome (33136300363133).

The spelling of 31023200131120 in words is "thirty-one trillion, twenty-three billion, two hundred million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 71 80 85 136 142 170 272 284 340 347 355 568 680 694 710 1136 1207 1360 1388 1420 1735 2414 2776 2840 3470 4828 5552 5680 5899 6035 6940 9656 11798 12070 13880 19312 23596 24140 24637 27760 29495 47192 48280 49274 58990 94384 96560 98548 117980 123185 197096 235960 246370 394192 418829 471920 492740 837658 925891 985480 1675316 1851782 1970960 2094145 3350632 3703564 4188290 4629455 6701264 7407128 8376580 9258910 14814256 15740147 16753160 18517820 31480294 33506320 37035640 62960588 65738261 74071280 78700735 125921176 131476522 157401470 251842352 262953044 314802940 321284177 328691305 525906088 629605880 642568354 657382610 1051812176 1117550437 1259211760 1285136708 1314765220 1606420885 2235100874 2570273416 2629530440 3212841770 4470201748 5140546832 5259060880 5461831009 5587752185 6425683540 8940403496 10923662018 11175504370 12851367080 17880806992 21847324036 22351008740 22811176567 25702734160 27309155045 43694648072 44702017480 45622353134 54618310090 87389296144 89404034960 91244706268 109236620180 114055882835 182489412536 218473240360 228111765670 364978825072 387790001639 436946480720 456223531340 775580003278 912447062680 1551160006556 1824894125360 1938950008195 3102320013112 3877900016390 6204640026224 7755800032780 15511600065560 31023200131120