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1020121202320 = 245113313349903
BaseRepresentation
bin11101101100000111111…
…01100011111010010000
310121112010000000102001121
432312003331203322100
5113203202011433240
62100345345412024
7133462361102323
oct16660375437220
93545100012047
101020121202320
113636a3908020
1214585863a014
1375273acb70c
143753487c7ba
151b807e7404a
hexed83f63e90

1020121202320 has 80 divisors (see below), whose sum is σ = 2588186702592. Its totient is φ = 370840135680.

The previous prime is 1020121202311. The next prime is 1020121202323. The reversal of 1020121202320 is 232021210201.

It is a happy number.

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 = 1020121202294 and 1020121202303.

It is not an unprimeable number, because it can be changed into a prime (1020121202323) 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, 2740489 + ... + 3090391.

Almost surely, 21020121202320 is an apocalyptic number.

1020121202320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020121202320 is an abundant number, since it is smaller than the sum of its proper divisors (1568065500272).

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

1020121202320 is a wasteful number, since it uses less digits than its factorization.

1020121202320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353240 (or 353234 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1020121202320 its reverse (232021210201), we get a palindrome (1252142412521).

The spelling of 1020121202320 in words is "one trillion, twenty billion, one hundred twenty-one million, two hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 3313 6626 13252 16565 26504 33130 36443 53008 66260 72886 132520 145772 182215 265040 291544 349903 364430 583088 699806 728860 1399612 1457720 1749515 2799224 2915440 3499030 3848933 5598448 6998060 7697866 13996120 15395732 19244665 27992240 30791464 38489330 61582928 76978660 153957320 307914640 1159228639 2318457278 4636914556 5796143195 9273829112 11592286390 12751515029 18547658224 23184572780 25503030058 46369145560 51006060116 63757575145 92738291120 102012120232 127515150290 204024240464 255030300580 510060601160 1020121202320