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1331301131220 = 22351131391412641
BaseRepresentation
bin10011010111110111101…
…110110010001111010100
311201021022122221200002110
4103113313232302033110
5133303001042144340
62455331415311020
7165116611621614
oct23276756621724
94637278850073
101331301131220
11473668866385
1219602207b470
1398705c02368
144861472aa44
152496bdb4680
hex135f7bb23d4

1331301131220 has 96 divisors (see below), whose sum is σ = 3787688741760. Its totient is φ = 349340221440.

The previous prime is 1331301131213. The next prime is 1331301131239. The reversal of 1331301131220 is 221311031331.

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 31 ways as a sum of consecutive naturals, for example, 236100 + ... + 1648740.

It is an arithmetic number, because the mean of its divisors is an integer number (39455091060).

Almost surely, 21331301131220 is an apocalyptic number.

1331301131220 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 1331301131220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1893844370880).

1331301131220 is an abundant number, since it is smaller than the sum of its proper divisors (2456387610540).

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

1331301131220 is a wasteful number, since it uses less digits than its factorization.

1331301131220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412905 (or 1412903 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 1331301131220 its reverse (221311031331), we get a palindrome (1552612162551).

The spelling of 1331301131220 in words is "one trillion, three hundred thirty-one billion, three hundred one million, one hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 113 139 226 278 339 417 452 556 565 678 695 834 1130 1356 1390 1668 1695 2085 2260 2780 3390 4170 6780 8340 15707 31414 47121 62828 78535 94242 157070 188484 235605 314140 471210 942420 1412641 2825282 4237923 5650564 7063205 8475846 14126410 16951692 21189615 28252820 42379230 84758460 159628433 196357099 319256866 392714198 478885299 589071297 638513732 785428396 798142165 957770598 981785495 1178142594 1596284330 1915541196 1963570990 2356285188 2394426495 2945356485 3192568660 3927141980 4788852990 5890712970 9577705980 11781425940 22188352187 44376704374 66565056561 88753408748 110941760935 133130113122 221883521870 266260226244 332825282805 443767043740 665650565610 1331301131220