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1201301210320 = 24541973775777
BaseRepresentation
bin10001011110110011001…
…000011100010011010000
311020211202202011102222021
4101132303020130103100
5124140231102212240
62315511542021224
7152535235544101
oct21366310342320
94224682142867
101201301210320
11423518240722
121749a1417814
1389389057843
14422012823a8
15213ae06954a
hex117b321c4d0

1201301210320 has 80 divisors (see below), whose sum is σ = 2890645018128. Its totient is φ = 463967354880.

The previous prime is 1201301210303. The next prime is 1201301210327. The reversal of 1201301210320 is 230121031021.

It can be written as a sum of positive squares in 8 ways, for example, as 192988004416 + 1008313205904 = 439304^2 + 1004148^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1201301210294 and 1201301210303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201301210327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1569729 + ... + 2206048.

Almost surely, 21201301210320 is an apocalyptic number.

1201301210320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1201301210320 is an abundant number, since it is smaller than the sum of its proper divisors (1689343807808).

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

1201301210320 is a wasteful number, since it uses less digits than its factorization.

1201301210320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3775928 (or 3775922 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1201301210320 its reverse (230121031021), we get a palindrome (1431422241341).

The spelling of 1201301210320 in words is "one trillion, two hundred one billion, three hundred one million, two hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 97 164 194 205 328 388 410 485 656 776 820 970 1552 1640 1940 3280 3880 3977 7760 7954 15908 19885 31816 39770 63632 79540 159080 318160 3775777 7551554 15103108 18878885 30206216 37757770 60412432 75515540 151031080 154806857 302062160 309613714 366250369 619227428 732500738 774034285 1238454856 1465001476 1548068570 1831251845 2476909712 2930002952 3096137140 3662503690 5860005904 6192274280 7325007380 12384548560 14650014760 15016265129 29300029520 30032530258 60065060516 75081325645 120130121032 150162651290 240260242064 300325302580 600650605160 1201301210320