Search a number
-
+
2121210201012 = 223765938319427
BaseRepresentation
bin11110110111100001111…
…110110000001110110100
321111210012210020001011020
4132313201332300032310
5234223214302413022
64302245344141140
7306152365133220
oct36674176601664
97453183201136
102121210201012
11748666949931
122a31310077b0
1312504c3a50c6
147494a81d780
153a29e33635c
hex1ede1fb03b4

2121210201012 has 48 divisors (see below), whose sum is σ = 5665144235520. Its totient is φ = 605140375392.

The previous prime is 2121210201007. The next prime is 2121210201023. The reversal of 2121210201012 is 2101020121212.

It is a super-3 number, since 3×21212102010123 (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2121210200982 and 2121210201000.

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, 19104358 + ... + 19215069.

It is an arithmetic number, because the mean of its divisors is an integer number (118023838240).

Almost surely, 22121210201012 is an apocalyptic number.

It is an amenable number.

2121210201012 is an abundant number, since it is smaller than the sum of its proper divisors (3543934034508).

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

2121210201012 is a wasteful number, since it uses less digits than its factorization.

2121210201012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38320100 (or 38320098 counting only the distinct ones).

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

Adding to 2121210201012 its reverse (2101020121212), we get a palindrome (4222230322224).

The spelling of 2121210201012 in words is "two trillion, one hundred twenty-one billion, two hundred ten million, two hundred one thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 659 1318 1977 2636 3954 4613 7908 9226 13839 18452 27678 55356 38319427 76638854 114958281 153277708 229916562 268235989 459833124 536471978 804707967 1072943956 1609415934 3218831868 25252502393 50505004786 75757507179 101010009572 151515014358 176767516751 303030028716 353535033502 530302550253 707070067004 1060605100506 2121210201012