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1021230312021 = 323167109749801
BaseRepresentation
bin11101101110001100001…
…00011110101001010101
310121121222022000000112200
432313012010132221111
5113212434424441041
62101051405435113
7133532016266313
oct16670604365125
93547868000480
101021230312021
11364112984607
12145b07b6ba99
13753bc81b94a
14375dbcad0b3
151b8705091b6
hexedc611ea55

1021230312021 has 48 divisors (see below), whose sum is σ = 1546861275648. Its totient is φ = 648419904000.

The previous prime is 1021230311971. The next prime is 1021230312071. The reversal of 1021230312021 is 1202130321201.

1021230312021 is a `hidden beast` number, since 10 + 212 + 303 + 120 + 21 = 666.

It is an interprime number because it is at equal distance from previous prime (1021230311971) and next prime (1021230312071).

It is not a de Polignac number, because 1021230312021 - 221 = 1021228214869 is a prime.

It is a super-2 number, since 2×10212303120212 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1021230311985 and 1021230312003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021230312071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20481321 + ... + 20531121.

It is an arithmetic number, because the mean of its divisors is an integer number (32226276576).

Almost surely, 21021230312021 is an apocalyptic number.

It is an amenable number.

1021230312021 is a deficient number, since it is larger than the sum of its proper divisors (525630963627).

1021230312021 is a wasteful number, since it uses less digits than its factorization.

1021230312021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51002 (or 50999 counting only the distinct ones).

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

Adding to 1021230312021 its reverse (1202130321201), we get a palindrome (2223360633222).

The spelling of 1021230312021 in words is "one trillion, twenty-one billion, two hundred thirty million, three hundred twelve thousand, twenty-one".

Divisors: 1 3 9 31 67 93 201 279 603 1097 2077 3291 6231 9873 18693 34007 49801 73499 102021 149403 220497 306063 448209 661491 1543831 2278469 3336667 4631493 6835407 10010001 13894479 20506221 30030003 54631697 103436677 163895091 310310031 491685273 930930093 1693582607 3660323699 5080747821 10980971097 15242243463 32942913291 113470034669 340410104007 1021230312021