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331210222222113 = 321343611950155343
BaseRepresentation
bin100101101001110111110001…
…1101001000011101100100001
31121102201101110212021010212200
41023103233203221003230201
5321403022013342101423
63132231513041443413
7126523102032264213
oct11323574351035441
91542641425233780
10331210222222113
11965965148a2413
1231192915340569
13112a6cb3b841b0
145bb0935b985b3
152845810979d43
hex12d3be3a43b21

331210222222113 has 96 divisors (see below), whose sum is σ = 535877411317248. Its totient is φ = 195804423360000.

The previous prime is 331210222222091. The next prime is 331210222222127. The reversal of 331210222222113 is 311222222012133.

331210222222113 is a `hidden beast` number, since 3 + 3 + 1 + 210 + 2 + 222 + 221 + 1 + 3 = 666.

It is not a de Polignac number, because 331210222222113 - 217 = 331210222091041 is a prime.

It is a super-2 number, since 2×3312102222221132 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (331210222222013) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5984653720 + ... + 5984709062.

It is an arithmetic number, because the mean of its divisors is an integer number (5582056367888).

Almost surely, 2331210222222113 is an apocalyptic number.

It is an amenable number.

331210222222113 is a deficient number, since it is larger than the sum of its proper divisors (204667189095135).

331210222222113 is a wasteful number, since it uses less digits than its factorization.

331210222222113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74967 (or 74964 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 331210222222113 its reverse (311222222012133), we get a palindrome (642432444234246).

The spelling of 331210222222113 in words is "three hundred thirty-one trillion, two hundred ten billion, two hundred twenty-two million, two hundred twenty-two thousand, one hundred thirteen".

Divisors: 1 3 9 13 39 43 61 117 129 183 387 549 559 793 1677 2379 2623 5031 7137 7869 19501 23607 34099 55343 58503 102297 166029 175509 253513 306891 498087 719459 760539 838543 1189561 2158377 2281617 2379749 2515629 3375923 3568683 6475131 7139247 7546887 10127769 10706049 10901059 15464293 21417741 30383307 30936737 32703177 43886999 46392879 51151123 92810211 98109531 131660997 139178637 145164689 153453369 278430633 394982991 435494067 460360107 664964599 1079243843 1306482201 1887140957 1994893797 3237731529 5661422871 5984681391 9713194587 14030169959 16984268613 42090509877 46407485249 65833874423 126271529631 139222455747 197501623269 417667367241 592504869807 603297308237 855840367499 1809891924711 2567521102497 2830856600189 5429675774133 7702563307491 8492569800567 25477709401701 36801135802457 110403407407371 331210222222113