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231330220232310 = 23357376913152597
BaseRepresentation
bin110100100110010011000011…
…100110100100111001110110
31010100001221201210101010121000
4310212103003212210321312
5220310103242334413220
62135555345220504130
766504025336306113
oct6446230346447166
91110057653333530
10231330220232310
11677886606113a1
1221b4141a84b046
139c104666a9a14
14411a629d3190a
151bb266adbb390
hexd264c39a4e76

231330220232310 has 128 divisors (see below), whose sum is σ = 625343234636160. Its totient is φ = 60841827053568.

The previous prime is 231330220232303. The next prime is 231330220232351. The reversal of 231330220232310 is 13232022033132.

231330220232310 is a `hidden beast` number, since 2 + 3 + 1 + 3 + 302 + 20 + 2 + 323 + 10 = 666.

231330220232310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2313302202323102 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1515878932 + ... + 1516031528.

It is an arithmetic number, because the mean of its divisors is an integer number (4885494020595).

Almost surely, 2231330220232310 is an apocalyptic number.

231330220232310 is an abundant number, since it is smaller than the sum of its proper divisors (394013014403850).

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

231330220232310 is a wasteful number, since it uses less digits than its factorization.

231330220232310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229599 (or 229593 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 231330220232310 its reverse (13232022033132), we get a palindrome (244562242265442).

The spelling of 231330220232310 in words is "two hundred thirty-one trillion, three hundred thirty billion, two hundred twenty million, two hundred thirty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 73 90 135 146 219 270 365 438 657 730 1095 1314 1971 2190 3285 3942 6570 9855 19710 76913 152597 153826 230739 305194 384565 457791 461478 692217 762985 769130 915582 1153695 1373373 1384434 1525970 2076651 2288955 2307390 2746746 3461085 4120119 4153302 4577910 5614649 6866865 6922170 8240238 10383255 11139581 11229298 13733730 16843947 20600595 20766510 22279162 28073245 33418743 33687894 41201190 50531841 55697905 56146490 66837486 84219735 100256229 101063682 111395810 151595523 167093715 168439470 200512458 252659205 300768687 303191046 334187430 501281145 505318410 601537374 757977615 1002562290 1503843435 1515955230 3007686870 11736693061 23473386122 35210079183 58683465305 70420158366 105630237549 117366930610 176050395915 211260475098 316890712647 352100791830 528151187745 633781425294 856778593453 1056302375490 1584453563235 1713557186906 2570335780359 3168907126470 4283892967265 5140671560718 7711007341077 8567785934530 12851678901795 15422014682154 23133022023231 25703357803590 38555036705385 46266044046462 77110073410770 115665110116155 231330220232310