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1002121221 = 33141892953
BaseRepresentation
bin111011101110110…
…010100000000101
32120211200000212210
4323232302200011
54023020334341
6243234534033
733555614133
oct7356624005
92524600783
101002121221
11474742562
1223b737319
1312c80084a
1497140753
155ce9ec16
hex3bbb2805

1002121221 has 32 divisors (see below), whose sum is σ = 1429263360. Its totient is φ = 623462400.

The previous prime is 1002121217. The next prime is 1002121243. The reversal of 1002121221 is 1221212001.

1002121221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1002121221 - 22 = 1002121217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1002121197 and 1002121206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002121291) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 337881 + ... + 340833.

It is an arithmetic number, because the mean of its divisors is an integer number (44664480).

Almost surely, 21002121221 is an apocalyptic number.

It is an amenable number.

1002121221 is a deficient number, since it is larger than the sum of its proper divisors (427142139).

1002121221 is a wasteful number, since it uses less digits than its factorization.

1002121221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3117.

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1002121221 is about 31656.2982832801. The cubic root of 1002121221 is about 1000.7065743018.

Adding to 1002121221 its reverse (1221212001), we get a palindrome (2223333222).

The spelling of 1002121221 in words is "one billion, two million, one hundred twenty-one thousand, two hundred twenty-one".

Divisors: 1 3 31 41 89 93 123 267 1271 2759 2953 3649 3813 8277 8859 10947 91543 113119 121073 262817 274629 339357 363219 788451 3753263 8147327 10775497 11259789 24441981 32326491 334040407 1002121221