Search a number
-
+
1022101021212 = 223642113265081
BaseRepresentation
bin11101101111110011111…
…01111110001000011100
310121201012222101122000020
432313321331332020130
5113221230330134322
62101314032032140
7133562421222135
oct16677175761034
93551188348006
101022101021212
1136451a420287
1214610b692650
13754cb02b09b
14376817a2c8c
151b8c1b9c05c
hexedf9f7e21c

1022101021212 has 24 divisors (see below), whose sum is σ = 2385273984912. Its totient is φ = 340647254400.

The previous prime is 1022101021189. The next prime is 1022101021243. The reversal of 1022101021212 is 2121201012201.

It is a super-3 number, since 3×10221010212123 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1022101021191 and 1022101021200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6555489 + ... + 6709592.

It is an arithmetic number, because the mean of its divisors is an integer number (99386416038).

Almost surely, 21022101021212 is an apocalyptic number.

1022101021212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1022101021212 is an abundant number, since it is smaller than the sum of its proper divisors (1363172963700).

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

1022101021212 is a wasteful number, since it uses less digits than its factorization.

1022101021212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13271509 (or 13271507 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1022101021212 its reverse (2121201012201), we get a palindrome (3143302033413).

The spelling of 1022101021212 in words is "one trillion, twenty-two billion, one hundred one million, twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 6421 12842 19263 25684 38526 77052 13265081 26530162 39795243 53060324 79590486 159180972 85175085101 170350170202 255525255303 340700340404 511050510606 1022101021212