Search a number
-
+
2121020023023 = 391167146213
BaseRepresentation
bin11110110111010110101…
…001010010000011101111
321111202201112101000000000
4132313112221102003233
5234222322111214043
64302214432035343
7306144565504356
oct36672651220357
97452645330000
102121020023023
11748579565340
122a3099392b53
1312501bb79655
147492d47699d
153a28c7bc2d3
hex1edd6a520ef

2121020023023 has 80 divisors (see below), whose sum is σ = 3522526862976. Its totient is φ = 1266271950240.

The previous prime is 2121020022997. The next prime is 2121020023081. The reversal of 2121020023023 is 3203200201212.

2121020023023 is a `hidden beast` number, since 2 + 1 + 210 + 200 + 230 + 23 = 666.

It is not a de Polignac number, because 2121020023023 - 213 = 2121020014831 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2121020022987 and 2121020023005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121020021023) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14433265 + ... + 14579477.

Almost surely, 22121020023023 is an apocalyptic number.

2121020023023 is a deficient number, since it is larger than the sum of its proper divisors (1401506839953).

2121020023023 is an frugal number, since it uses more digits than its factorization.

2121020023023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146318 (or 146294 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2121020023023 its reverse (3203200201212), we get a palindrome (5324220224235).

The spelling of 2121020023023 in words is "two trillion, one hundred twenty-one billion, twenty million, twenty-three thousand, twenty-three".

Divisors: 1 3 9 11 27 33 67 81 99 201 243 297 603 729 737 891 1809 2187 2211 2673 5427 6561 6633 8019 16281 19683 19899 24057 48843 59697 72171 146213 146529 179091 216513 438639 439587 537273 1315917 1318761 1608343 1611819 3947751 4825029 4835457 9796271 11843253 14475087 14506371 29388813 35529759 43425261 88166439 106589277 107758981 130275783 264499317 319767831 323276943 390827349 793497951 959303493 969830829 1172482047 2380493853 2877910479 2909492487 3517446141 7141481559 8728477461 10552338423 21424444677 26185432383 31657015269 64273334031 78556297149 192820002093 235668891447 707006674341 2121020023023