Search a number
-
+
331032414012 = 22329532397853
BaseRepresentation
bin1001101000100110001…
…00011100011100111100
31011122110012212222220020
410310103010130130330
520410423244222022
6412024005252140
732626202043516
oct4642304343474
91148405788806
10331032414012
11118432193253
12541a6104050
13252a706c871
1412044734bb6
158926c6d35c
hex4d1311c73c

331032414012 has 144 divisors (see below), whose sum is σ = 817413068640. Its totient is φ = 104143463424.

The previous prime is 331032413939. The next prime is 331032414029. The reversal of 331032414012 is 210414230133.

It is a happy number.

It is a super-2 number, since 2×3310324140122 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 388079778 + ... + 388080630.

Almost surely, 2331032414012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331032414012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408706534320).

331032414012 is an abundant number, since it is smaller than the sum of its proper divisors (486380654628).

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

331032414012 is a wasteful number, since it uses less digits than its factorization.

331032414012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1392 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 331032414012 its reverse (210414230133), we get a palindrome (541446644145).

The spelling of 331032414012 in words is "three hundred thirty-one billion, thirty-two million, four hundred fourteen thousand, twelve".

Divisors: 1 2 3 4 6 12 29 53 58 87 106 116 159 174 212 318 348 397 636 794 853 1191 1537 1588 1706 2382 2559 2809 3074 3412 4611 4764 5118 5618 6148 8427 9222 10236 11236 11513 16854 18444 21041 23026 24737 33708 34539 42082 45209 46052 49474 63123 69078 74211 81461 84164 90418 98948 126246 135627 138156 148422 162922 180836 244383 252492 271254 296844 325844 338641 488766 542508 610189 677282 977532 1015923 1115173 1220378 1311061 1354564 1830567 2031846 2230346 2396077 2440756 2622122 3345519 3661134 3933183 4063692 4460692 4792154 5244244 6691038 7188231 7322268 7866366 9584308 9820589 13382076 14376462 15732732 17947973 19641178 28752924 29461767 32340017 35895946 39282356 53843919 58923534 64680034 69486233 71791892 97020051 107687838 117847068 129360068 138972466 194040102 208458699 215375676 277944932 388080204 416917398 520491217 833834796 951242569 1040982434 1561473651 1902485138 2081964868 2853727707 3122947302 3804970276 5707455414 6245894604 11414910828 27586034501 55172069002 82758103503 110344138004 165516207006 331032414012