Search a number
-
+
331222200130101 = 37231212473420919
BaseRepresentation
bin100101101001111101010110…
…1100101001001101000110101
31121102202112101121210220200110
41023103322231211021220311
5321403221031213130401
63132241213401533233
7126524004614646600
oct11323725545115065
91542675347726613
10331222200130101
11965a0601034a25
12311950b87a4219
13112a8172582307
145bb13508a5337
152845cb22d49d6
hex12d3ead949a35

331222200130101 has 48 divisors (see below), whose sum is σ = 530329518735360. Its totient is φ = 183155676046560.

The previous prime is 331222200130099. The next prime is 331222200130139. The reversal of 331222200130101 is 101031002222133.

It is not a de Polignac number, because 331222200130101 - 21 = 331222200130099 is a prime.

It is a super-3 number, since 3×3312222001301013 (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331222200130501) 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, 95112120 + ... + 98533038.

It is an arithmetic number, because the mean of its divisors is an integer number (11048531640320).

Almost surely, 2331222200130101 is an apocalyptic number.

331222200130101 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

331222200130101 is a deficient number, since it is larger than the sum of its proper divisors (199107318605259).

331222200130101 is a wasteful number, since it uses less digits than its factorization.

331222200130101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3442214 (or 3442207 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 331222200130101 its reverse (101031002222133), we get a palindrome (432253202352234).

The spelling of 331222200130101 in words is "three hundred thirty-one trillion, two hundred twenty-two billion, two hundred million, one hundred thirty thousand, one hundred one".

Divisors: 1 3 7 21 31 49 93 147 217 651 1519 4557 21247 63741 148729 446187 658657 1041103 1975971 3123309 3420919 4610599 10262757 13831797 23946433 32274193 71839299 96822579 106048489 167625031 318145467 502875093 742339423 2227018269 5196375961 15589127883 72684265993 218052797979 508789861951 1526369585853 2253212245783 3561529033657 6759636737349 10684587100971 15772485720481 47317457161443 110407400043367 331222200130101