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31300435031400 = 233252107162515239
BaseRepresentation
bin1110001110111101100110…
…10011111011010101101000
311002211021220010122002121100
413013132303103323111220
513100311242332001100
6150323115451041400
76410244646644663
oct707366323732550
9132737803562540
1031300435031400
119a78492635827
123616298440260
1314608066c2102
147a2d406186da
153942e1ed2400
hex1c77b34fb568

31300435031400 has 144 divisors (see below), whose sum is σ = 106099699586400. Its totient is φ = 8268775309440.

The previous prime is 31300435031377. The next prime is 31300435031423. The reversal of 31300435031400 is 413053400313.

31300435031400 is a `hidden beast` number, since 3 + 1 + 300 + 4 + 350 + 3 + 1 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (31300435031377) and next prime (31300435031423).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 81065020 + ... + 81450219.

It is an arithmetic number, because the mean of its divisors is an integer number (736803469350).

Almost surely, 231300435031400 is an apocalyptic number.

31300435031400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31300435031400 is an abundant number, since it is smaller than the sum of its proper divisors (74799264555000).

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

31300435031400 is a wasteful number, since it uses less digits than its factorization.

31300435031400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162515368 (or 162515356 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 31300435031400 its reverse (413053400313), we get a palindrome (31713488431713).

The spelling of 31300435031400 in words is "thirty-one trillion, three hundred billion, four hundred thirty-five million, thirty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 107 120 150 180 200 214 225 300 321 360 428 450 535 600 642 856 900 963 1070 1284 1605 1800 1926 2140 2568 2675 3210 3852 4280 4815 5350 6420 7704 8025 9630 10700 12840 16050 19260 21400 24075 32100 38520 48150 64200 96300 192600 162515239 325030478 487545717 650060956 812576195 975091434 1300121912 1462637151 1625152390 1950182868 2437728585 2925274302 3250304780 3900365736 4062880975 4875457170 5850548604 6500609560 7313185755 8125761950 9750914340 11701097208 12188642925 14626371510 16251523900 17389130573 19501828680 24377285850 29252743020 32503047800 34778261146 36565928775 48754571700 52167391719 58505486040 69556522292 73131857550 86945652865 97509143400 104334783438 139113044584 146263715100 156502175157 173891305730 208669566876 260836958595 292527430200 313004350314 347782611460 417339133752 434728264325 521673917190 626008700628 695565222920 782510875785 869456528650 1043347834380 1252017401256 1304184792975 1565021751570 1738913057300 2086695668760 2608369585950 3130043503140 3477826114600 3912554378925 5216739171900 6260087006280 7825108757850 10433478343800 15650217515700 31300435031400