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10301133331220 = 22529414007108107
BaseRepresentation
bin1001010111100110101101…
…1001001001101100010100
31100110210000200201110201212
42111321223121021230110
52322233210113044340
633524135245240552
72112142454414414
oct225715331115424
940423020643655
1010301133331220
113311760240896
1211a4518863158
13599514a08104
142788129a8644
1512ce51d6da65
hex95e6b649b14

10301133331220 has 96 divisors (see below), whose sum is σ = 22930070042880. Its totient is φ = 3880330818560.

The previous prime is 10301133331219. The next prime is 10301133331231. The reversal of 10301133331220 is 2213333110301.

10301133331220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×103011333312202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 95232407 + ... + 95340513.

It is an arithmetic number, because the mean of its divisors is an integer number (238854896280).

Almost surely, 210301133331220 is an apocalyptic number.

10301133331220 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 10301133331220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11465035021440).

10301133331220 is an abundant number, since it is smaller than the sum of its proper divisors (12628936711660).

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

10301133331220 is a wasteful number, since it uses less digits than its factorization.

10301133331220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112193 (or 112191 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 10301133331220 its reverse (2213333110301), we get a palindrome (12514466441521).

The spelling of 10301133331220 in words is "ten trillion, three hundred one billion, one hundred thirty-three million, three hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 41 58 82 116 145 164 205 290 410 580 820 1189 2378 4007 4756 5945 8014 11890 16028 20035 23780 40070 80140 108107 116203 164287 216214 232406 328574 432428 464812 540535 581015 657148 821435 1081070 1162030 1642870 2162140 2324060 3135103 3285740 4432387 4764323 6270206 8864774 9528646 12540412 15675515 17729548 19057292 22161935 23821615 31351030 44323870 47643230 62702060 88647740 95286460 128539223 257078446 433184749 514156892 642696115 866369498 1285392230 1732738996 2165923745 2570784460 4331847490 8663694980 12562357721 17760574709 25124715442 35521149418 50249430884 62811788605 71042298836 88802873545 125623577210 177605747090 251247154420 355211494180 515056666561 1030113333122 2060226666244 2575283332805 5150566665610 10301133331220