Search a number
-
+
232311001020120 = 233251158664394197
BaseRepresentation
bin110100110100100100011110…
…101100010111011011011000
31010110112201022002110102100100
4310310210132230113123120
5220422140412230120440
62142030111152535400
766634626112406421
oct6464443654273330
91113481262412310
10232311001020120
11680265a6816750
122207b518251560
139c81aaac84b49
144151caba5a648
151bcce201e6230
hexd3491eb176d8

232311001020120 has 96 divisors (see below), whose sum is σ = 823648094539920. Its totient is φ = 56317818428160.

The previous prime is 232311001020097. The next prime is 232311001020149. The reversal of 232311001020120 is 21020100113232.

232311001020120 is a `hidden beast` number, since 2 + 323 + 110 + 0 + 10 + 201 + 20 = 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 = 232311001020093 and 232311001020102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29332193139 + ... + 29332201058.

Almost surely, 2232311001020120 is an apocalyptic number.

232311001020120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232311001020120 is an abundant number, since it is smaller than the sum of its proper divisors (591337093519800).

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

232311001020120 is a wasteful number, since it uses less digits than its factorization.

232311001020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58664394225 (or 58664394218 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 232311001020120 its reverse (21020100113232), we get a palindrome (253331101133352).

The spelling of 232311001020120 in words is "two hundred thirty-two trillion, three hundred eleven billion, one million, twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 58664394197 117328788394 175993182591 234657576788 293321970985 351986365182 469315153576 527979547773 586643941970 645308336167 703972730364 879965912955 1055959095546 1173287883940 1290616672334 1407945460728 1759931825910 1935925008501 2111918191092 2346575767880 2581233344668 2639897738865 3226541680835 3519863651820 3871850017002 4223836382184 5162466689336 5279795477730 5807775025503 6453083361670 7039727303640 7743700034004 9679625042505 10559590955460 11615550051006 12906166723340 15487400068008 19359250085010 21119181910920 23231100102012 25812333446680 29038875127515 38718500170020 46462200204024 58077750255030 77437000340040 116155500510060 232311001020120