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1311050035220 = 225312223499613
BaseRepresentation
bin10011000101000000101…
…010111111000000010100
311122100001022221101212212
4103011000222333000110
5132440012302111340
62442142120132552
7163502020266452
oct23050052770024
94570038841785
101311050035220
11466016625202
12192110007158
13968294c0213
1447652d619d2
1524184099a65
hex13140abf014

1311050035220 has 144 divisors (see below), whose sum is σ = 2868038208000. Its totient is φ = 503392423680.

The previous prime is 1311050035181. The next prime is 1311050035241. The reversal of 1311050035220 is 225300501131.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2138743634 + ... + 2138744246.

It is an arithmetic number, because the mean of its divisors is an integer number (19916932000).

Almost surely, 21311050035220 is an apocalyptic number.

1311050035220 is a gapful number since it is divisible by the number (10) 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 1311050035220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434019104000).

1311050035220 is an abundant number, since it is smaller than the sum of its proper divisors (1556988172780).

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

1311050035220 is a wasteful number, since it uses less digits than its factorization.

1311050035220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

Adding to 1311050035220 its reverse (225300501131), we get a palindrome (1536350536351).

The spelling of 1311050035220 in words is "one trillion, three hundred eleven billion, fifty million, thirty-five thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 223 310 446 499 613 620 892 961 998 1115 1226 1922 1996 2230 2452 2495 3065 3844 4460 4805 4990 6130 6913 9610 9980 12260 13826 15469 19003 19220 27652 30938 34565 38006 61876 69130 76012 77345 95015 111277 136699 138260 154690 190030 214303 222554 273398 305887 309380 380060 428606 445108 479539 546796 556385 589093 611774 683495 857212 959078 1071515 1112770 1178186 1223548 1366990 1529435 1918156 2143030 2225540 2356372 2397695 2733980 2945465 3058870 3449587 4237669 4286060 4795390 5890930 6117740 6899174 8475338 9482497 9590780 11781860 13798348 16950676 17247935 18964994 21188345 34495870 37929988 42376690 47412485 68212801 68991740 84753380 94824970 106937197 131367739 136425602 189649940 213874394 262735478 272851204 293957407 341064005 427748788 525470956 534685985 587914814 656838695 682128010 1069371970 1175829628 1313677390 1364256020 1469787035 2114596831 2138743940 2627354780 2939574070 4229193662 5879148140 8458387324 10572984155 21145968310 42291936620 65552501761 131105003522 262210007044 327762508805 655525017610 1311050035220