Search a number
-
+
31301211120322 = 211134731319133889
BaseRepresentation
bin1110001110111111000011…
…00100011110001011000010
311002211100220012222111110111
413013133201210132023002
513100314340021322242
6150323324453221534
76410303122412623
oct707374144361302
9132740805874414
1031301211120322
119a78850724930
1236164743318aa
1314608cb422620
147a2db571ba4a
1539433a1d4817
hex1c77e191e2c2

31301211120322 has 128 divisors (see below), whose sum is σ = 56557858452480. Its totient is φ = 12802884157440.

The previous prime is 31301211120271. The next prime is 31301211120341. The reversal of 31301211120322 is 22302111210313.

It is a super-2 number, since 2×313012111203222 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 31301211120293 and 31301211120302.

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 63 ways as a sum of consecutive naturals, for example, 8048650954 + ... + 8048654842.

It is an arithmetic number, because the mean of its divisors is an integer number (441858269160).

Almost surely, 231301211120322 is an apocalyptic number.

31301211120322 is a deficient number, since it is larger than the sum of its proper divisors (25256647332158).

31301211120322 is a wasteful number, since it uses less digits than its factorization.

31301211120322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6188.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 31301211120322 its reverse (22302111210313), we get a palindrome (53603322330635).

The spelling of 31301211120322 in words is "thirty-one trillion, three hundred one billion, two hundred eleven million, one hundred twenty thousand, three hundred twenty-two".

Divisors: 1 2 11 13 22 26 47 94 143 286 313 517 611 626 1034 1222 1913 3443 3826 3889 4069 6721 6886 7778 8138 13442 14711 21043 24869 29422 42086 42779 44759 49738 50557 85558 89518 89911 101114 161821 179822 182783 191243 273559 323642 365566 382486 547118 556127 598769 989021 1112254 1168843 1197538 1217257 1978042 2010613 2103673 2337686 2376179 2434514 4021226 4207346 4752358 6586459 7439657 7783997 12857273 13172918 13389827 14879314 15567994 15824341 25714546 26137969 26779654 28142143 31648682 52275938 56284286 57211079 81836227 85623967 96715541 114422158 163672454 171247934 174067751 193431082 309563573 348135502 349663879 365847859 619127146 629321869 699327758 731695718 743744027 1063870951 1258643738 1487488054 2127741902 2328612641 3846302669 4024326449 4545630427 4657225282 7692605338 8048652898 8181184297 9091260854 16362368594 25614739051 30271964333 50001934697 51229478102 60543928666 100003869394 109444794127 218889588254 332991607663 665983215326 1203892735397 1422782323651 2407785470794 2845564647302 15650605560161 31301211120322