Search a number
-
+
2121221001012 = 2232372307106291
BaseRepresentation
bin11110110111100010100…
…111111100111100110100
321111210020112112201222020
4132313202213330330310
5234223230034013022
64302250411433140
7306152556004131
oct36674247747464
97453215481866
102121221001012
11748671a56053
122a31347557b0
131250516b6b39
147494c031588
153a2a026b35c
hex1ede29fcf34

2121221001012 has 48 divisors (see below), whose sum is σ = 5164832020992. Its totient is φ = 676315617120.

The previous prime is 2121221000947. The next prime is 2121221001139. The reversal of 2121221001012 is 2101001221212.

It is a junction number, because it is equal to n+sod(n) for n = 2121221000982 and 2121221001000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19903587 + ... + 20009877.

It is an arithmetic number, because the mean of its divisors is an integer number (107600667104).

Almost surely, 22121221001012 is an apocalyptic number.

It is an amenable number.

2121221001012 is an abundant number, since it is smaller than the sum of its proper divisors (3043611019980).

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

2121221001012 is a wasteful number, since it uses less digits than its factorization.

2121221001012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178628 (or 178626 counting only the distinct ones).

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

Adding to 2121221001012 its reverse (2101001221212), we get a palindrome (4222222222224).

The spelling of 2121221001012 in words is "two trillion, one hundred twenty-one billion, two hundred twenty-one million, one thousand, twelve".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 72307 106291 144614 212582 216921 289228 318873 425164 433842 637746 867684 1275492 1663061 2444693 3326122 4889386 4989183 6652244 7334079 9778772 9978366 14668158 19956732 29336316 7685583337 15371166674 23056750011 30742333348 46113500022 92227000044 176768416751 353536833502 530305250253 707073667004 1060610500506 2121221001012