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232002032001030 = 23352389317418279
BaseRepresentation
bin110100110000000100101110…
…101101000110000000000110
31010102110011210111202000102000
4310300010232231012000012
5220402110130143013110
62141232132342330130
766603410426155254
oct6460045655060006
91112404714660360
10232002032001030
1167a17566869685
122202b66b129946
139c5b90bc32565
144140d5b6895d4
151bc4d8a42a1c0
hexd3012eb46006

232002032001030 has 128 divisors (see below), whose sum is σ = 645579642931200. Its totient is φ = 59176525871232.

The previous prime is 232002032000953. The next prime is 232002032001031. The reversal of 232002032001030 is 30100230200232.

It is a happy number.

232002032001030 is a `hidden beast` number, since 2 + 320 + 0 + 20 + 320 + 0 + 1 + 0 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 232002032000994 and 232002032001012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232002032001031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 554449431 + ... + 554867709.

It is an arithmetic number, because the mean of its divisors is an integer number (5043590960400).

Almost surely, 2232002032001030 is an apocalyptic number.

232002032001030 is an abundant number, since it is smaller than the sum of its proper divisors (413577610930170).

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

232002032001030 is a wasteful number, since it uses less digits than its factorization.

232002032001030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507635 (or 507629 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 232002032001030 its reverse (30100230200232), we get a palindrome (262102262201262).

The spelling of 232002032001030 in words is "two hundred thirty-two trillion, two billion, thirty-two million, one thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 90 115 135 138 207 230 270 345 414 621 690 1035 1242 2070 3105 6210 89317 178634 267951 418279 446585 535902 803853 836558 893170 1254837 1339755 1607706 2054291 2091395 2411559 2509674 2679510 3764511 4019265 4108582 4182790 4823118 6162873 6274185 7529022 8038530 9620417 10271455 11293533 12057795 12325746 12548370 18488619 18822555 19240834 20542910 22587066 24115590 28861251 30814365 36977238 37645110 48102085 55465857 56467665 57722502 61628730 86583753 92443095 96204170 110931714 112935330 144306255 173167506 184886190 259751259 277329285 288612510 432918765 519502518 554658570 865837530 1298756295 2597512590 37359425443 74718850886 112078276329 186797127215 224156552658 336234828987 373594254430 560391381645 672469657974 859266785189 1008704486961 1120782763290 1681174144935 1718533570378 2017408973922 2577800355567 3362348289870 4296333925945 5043522434805 5155600711134 7733401066701 8592667851890 10087044869610 12889001777835 15466802133402 23200203200103 25778003555670 38667005333505 46400406400206 77334010667010 116001016000515 232002032001030