Search a number
-
+
1321304101020 = 22325291607157513
BaseRepresentation
bin10011001110100011110…
…111001001000010011100
311200022111221202220202200
4103032203313021002130
5133122012322213040
62450555420251500
7164314101356151
oct23164367110234
94608457686680
101321304101020
1146a3a879a652
121940b20a0b90
13977a1a14887
1447d46b3c228
15245843e1630
hex133a3dc909c

1321304101020 has 144 divisors (see below), whose sum is σ = 4148767546560. Its totient is φ = 339983981568.

The previous prime is 1321304100983. The next prime is 1321304101063. The reversal of 1321304101020 is 201014031231.

1321304101020 is a `hidden beast` number, since 1 + 321 + 304 + 10 + 10 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1321304100984 and 1321304101002.

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, 8309784 + ... + 8467296.

It is an arithmetic number, because the mean of its divisors is an integer number (28810885740).

Almost surely, 21321304101020 is an apocalyptic number.

1321304101020 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 1321304101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2074383773280).

1321304101020 is an abundant number, since it is smaller than the sum of its proper divisors (2827463445540).

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

1321304101020 is a wasteful number, since it uses less digits than its factorization.

1321304101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159164 (or 159159 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1321304101020 its reverse (201014031231), we get a palindrome (1522318132251).

The spelling of 1321304101020 in words is "one trillion, three hundred twenty-one billion, three hundred four million, one hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1607 1740 2610 3214 4821 5220 6428 8035 9642 14463 16070 19284 24105 28926 32140 46603 48210 57852 72315 93206 96420 139809 144630 157513 186412 233015 279618 289260 315026 419427 466030 472539 559236 630052 699045 787565 838854 932060 945078 1398090 1417617 1575130 1677708 1890156 2097135 2362695 2796180 2835234 3150260 4194270 4567877 4725390 5670468 7088085 8388540 9135754 9450780 13703631 14176170 18271508 22839385 27407262 28352340 41110893 45678770 54814524 68518155 82221786 91357540 137036310 164443572 205554465 253123391 274072620 411108930 506246782 759370173 822217860 1012493564 1265616955 1518740346 2278110519 2531233910 3037480692 3796850865 4556221038 5062467820 7340578339 7593701730 9112442076 11390552595 14681156678 15187403460 22021735017 22781105190 29362313356 36702891695 44043470034 45562210380 66065205051 73405783390 88086940068 110108675085 132130410102 146811566780 220217350170 264260820204 330326025255 440434700340 660652050510 1321304101020