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330030331133132 = 2273318987186259
BaseRepresentation
bin100101100001010010010110…
…0101001101111110011001100
31121021112120222020000112222102
41023002210230221233303030
5321224204104232230012
63125525501400534232
7126341622160433000
oct11302445451576314
91537476866015872
10330030331133132
1196181094062853
123102210a181378
131121c95a6b7906
145b6d7a61c6700
152824ca63702c2
hex12c292ca6fccc

330030331133132 has 96 divisors (see below), whose sum is σ = 703070000640000. Its totient is φ = 135340972018560.

The previous prime is 330030331133131. The next prime is 330030331133143. The reversal of 330030331133132 is 231331133030033.

It is a happy number.

It is a super-2 number, since 2×3300303311331322 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 330030331133095 and 330030331133104.

It is not an unprimeable number, because it can be changed into a prime (330030331133131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39807782 + ... + 47378477.

It is an arithmetic number, because the mean of its divisors is an integer number (7323645840000).

Almost surely, 2330030331133132 is an apocalyptic number.

It is an amenable number.

330030331133132 is an abundant number, since it is smaller than the sum of its proper divisors (373039669506868).

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

330030331133132 is a wasteful number, since it uses less digits than its factorization.

330030331133132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87186404 (or 87186388 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 29.

Adding to 330030331133132 its reverse (231331133030033), we get a palindrome (561361464163165).

The spelling of 330030331133132 in words is "three hundred thirty trillion, thirty billion, three hundred thirty-one million, one hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 31 49 62 89 98 124 178 196 217 343 356 434 623 686 868 1246 1372 1519 2492 2759 3038 4361 5518 6076 8722 10633 11036 17444 19313 21266 30527 38626 42532 61054 77252 122108 135191 270382 540764 946337 1892674 3785348 87186259 174372518 348745036 610303813 1220607626 2441215252 2702774029 4272126691 5405548058 7759577051 8544253382 10811096116 15519154102 17088506764 18919418203 29904886837 31038308204 37838836406 54317039357 59809773674 75677672812 108634078714 119619547348 132435927421 217268157428 240546888581 264871854842 380219275499 481093777162 529743709684 760438550998 927051491947 962187554324 1520877101996 1683828220067 1854102983894 2661534928493 3367656440134 3708205967788 5323069856986 6735312880268 10646139713972 11786797540469 23573595080938 47147190161876 82507582783283 165015165566566 330030331133132