Search a number
-
+
210202120212021 = 32741541390738501
BaseRepresentation
bin101111110010110101111110…
…101101001100111000110101
31000120021010102011200221000100
4233302311332231030320311
5210022422420233241041
62023021304304104313
762163413331304230
oct5762657655147065
91016233364627010
10210202120212021
1160a822449a1203
121b6aa6b4905099
139039c89a801a2
1439c9ba0662417
151947c8d6626b6
hexbf2d7eb4ce35

210202120212021 has 96 divisors (see below), whose sum is σ = 356221198884096. Its totient is φ = 116936265600000.

The previous prime is 210202120212011. The next prime is 210202120212061. The reversal of 210202120212021 is 120212021202012.

It is a happy number.

210202120212021 is a `hidden beast` number, since 210 + 20 + 212 + 0 + 21 + 202 + 1 = 666.

It is not a de Polignac number, because 210202120212021 - 27 = 210202120211893 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 210202120211985 and 210202120212003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210202120212001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5459634271 + ... + 5459672771.

It is an arithmetic number, because the mean of its divisors is an integer number (3710637488376).

Almost surely, 2210202120212021 is an apocalyptic number.

210202120212021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

210202120212021 is a deficient number, since it is larger than the sum of its proper divisors (146019078672075).

210202120212021 is a wasteful number, since it uses less digits than its factorization.

210202120212021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43003 (or 43000 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 210202120212021 its reverse (120212021202012), we get a palindrome (330414141414033).

The spelling of 210202120212021 in words is "two hundred ten trillion, two hundred two billion, one hundred twenty million, two hundred twelve thousand, twenty-one".

Divisors: 1 3 7 9 21 41 63 123 287 369 541 861 1623 2583 3787 3907 4869 11361 11721 22181 27349 34083 35163 38501 66543 82047 115503 155267 160187 199629 246141 269507 346509 465801 480561 808521 1121309 1397403 1441683 1578541 2113687 2425563 3363927 4735623 6341061 10091781 11049787 14206869 14795809 19023183 20829041 33149361 44387427 62487123 86661167 99448083 133162281 145803287 150423407 187461369 259983501 437409861 451270221 606628169 779950503 853990681 1052963849 1312229583 1353810663 1819884507 2561972043 3158891547 5459653521 5977934767 6167359687 7685916129 9476674641 17933804301 18502079061 43171517809 53801412903 55506237183 81379063187 129514553427 244137189561 388543660281 569653442309 732411568683 1708960326927 3336541590667 5126880980781 10009624772001 23355791134669 30028874316003 70067373404007 210202120212021