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232042330020030 = 23547216321481403
BaseRepresentation
bin110100110000101010010000…
…101001110101100010111110
31010102121000210221120111010020
4310300222100221311202332
5220403240142441120110
62141302435204553010
766606335152525155
oct6460522051654276
91112530727514106
10232042330020030
1167a32665a68812
12220374369b2766
139c6266196b00a
144142ca167259c
151bc5e4817dd70
hexd30a90a758be

232042330020030 has 96 divisors (see below), whose sum is σ = 572493508401024. Its totient is φ = 60189857296704.

The previous prime is 232042330020013. The next prime is 232042330020047. The reversal of 232042330020030 is 30020033240232.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (232042330020013) and next prime (232042330020047).

It is a super-2 number, since 2×2320423300200302 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61309 + ... + 21542711.

It is an arithmetic number, because the mean of its divisors is an integer number (5963474045844).

Almost surely, 2232042330020030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232042330020030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286246754200512).

232042330020030 is an abundant number, since it is smaller than the sum of its proper divisors (340451178380994).

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

232042330020030 is a wasteful number, since it uses less digits than its factorization.

232042330020030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21481670 (or 21481623 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

Adding to 232042330020030 its reverse (30020033240232), we get a palindrome (262062363260262).

The spelling of 232042330020030 in words is "two hundred thirty-two trillion, forty-two billion, three hundred thirty million, twenty thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 47 94 141 163 235 282 326 470 489 705 815 978 1410 1630 2209 2445 4418 4890 6627 7661 11045 13254 15322 22090 22983 33135 38305 45966 66270 76610 114915 229830 360067 720134 1080201 1800335 2160402 3600670 5401005 10802010 21481403 42962806 64444209 107407015 128888418 214814030 322221045 644442090 1009625941 2019251882 3028877823 3501468689 5048129705 6057755646 7002937378 10096259410 10504406067 15144389115 17507343445 21008812134 30288778230 35014686890 47452419227 52522030335 94904838454 105044060670 142357257681 164569028383 237262096135 284714515362 329138056766 474524192270 493707085149 711786288405 822845141915 987414170298 1423572576810 1645690283830 2468535425745 4937070851490 7734744334001 15469488668002 23204233002003 38673721670005 46408466004006 77347443340010 116021165010015 232042330020030