Search a number
-
+
202103213004 = 2232711312351897
BaseRepresentation
bin1011110000111001001…
…0100100101111001100
3201022122220211222100100
42330032102210233030
511302401410304004
6232502301131100
720413206652230
oct2741622445714
9638586758310
10202103213004
1178790aa4270
1233203b59a90
131609ac93604
149ad35665c0
1553cce23739
hex2f0e4a4bcc

202103213004 has 144 divisors (see below), whose sum is σ = 657477789696. Its totient is φ = 50800953600.

The previous prime is 202103212979. The next prime is 202103213027. The reversal of 202103213004 is 400312301202.

202103213004 is a `hidden beast` number, since 20 + 21 + 0 + 321 + 300 + 4 = 666.

202103213004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1090017 + ... + 1261880.

It is an arithmetic number, because the mean of its divisors is an integer number (4565817984).

Almost surely, 2202103213004 is an apocalyptic number.

It is an amenable number.

202103213004 is an abundant number, since it is smaller than the sum of its proper divisors (455374576692).

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

202103213004 is a wasteful number, since it uses less digits than its factorization.

202103213004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2351956 (or 2351951 counting only the distinct ones).

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

Adding to 202103213004 its reverse (400312301202), we get a palindrome (602415514206).

The spelling of 202103213004 in words is "two hundred two billion, one hundred three million, two hundred thirteen thousand, four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 31 33 36 42 44 62 63 66 77 84 93 99 124 126 132 154 186 198 217 231 252 279 308 341 372 396 434 462 558 651 682 693 868 924 1023 1116 1302 1364 1386 1953 2046 2387 2604 2772 3069 3906 4092 4774 6138 7161 7812 9548 12276 14322 21483 28644 42966 85932 2351897 4703794 7055691 9407588 14111382 16463279 21167073 25870867 28222764 32926558 42334146 49389837 51741734 65853116 72908807 77612601 84668292 98779674 103483468 145817614 148169511 155225202 181096069 197559348 218726421 232837803 291635228 296339022 310450404 362192138 437452842 465675606 510361649 543288207 592678044 656179263 724384276 801996877 874905684 931351212 1020723298 1086576414 1312358526 1531084947 1603993754 1629864621 2041446596 2173152828 2405990631 2624717052 3062169894 3207987508 3259729242 4593254841 4811981262 5613978139 6124339788 6519458484 7217971893 9186509682 9623962524 11227956278 14435943786 16841934417 18373019364 22455912556 28871887572 33683868834 50525803251 67367737668 101051606502 202103213004