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4232131020 = 22325131939371
BaseRepresentation
bin1111110001000001…
…0011000111001100
3101220221111112100100
43330100103013030
532131411143040
61535541131100
7206606343255
oct37420230714
911827445310
104232131020
111881a22747
129a13b9a90
13525a48950
142c20dbb2c
1519b829b30
hexfc4131cc

4232131020 has 144 divisors (see below), whose sum is σ = 13898076192. Its totient is φ = 1036247040.

The previous prime is 4232131019. The next prime is 4232131051. The reversal of 4232131020 is 201312324.

4232131020 is a `hidden beast` number, since 423 + 213 + 10 + 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 = 4232130984 and 4232131002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 446935 + ... + 456305.

It is an arithmetic number, because the mean of its divisors is an integer number (96514418).

Almost surely, 24232131020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4232131020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6949038096).

4232131020 is an abundant number, since it is smaller than the sum of its proper divisors (9665945172).

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

4232131020 is a wasteful number, since it uses less digits than its factorization.

4232131020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9592 (or 9587 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4232131020 is about 65054.8308736561. The cubic root of 4232131020 is about 1617.5325720631.

Adding to 4232131020 its reverse (201312324), we get a palindrome (4433443344).

The spelling of 4232131020 in words is "four billion, two hundred thirty-two million, one hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 193 195 234 260 386 390 468 579 585 772 780 965 1158 1170 1737 1930 2316 2340 2509 2895 3474 3860 5018 5790 6948 7527 8685 9371 10036 11580 12545 15054 17370 18742 22581 25090 28113 30108 34740 37484 37635 45162 46855 50180 56226 75270 84339 90324 93710 112452 112905 121823 140565 150540 168678 187420 225810 243646 281130 337356 365469 421695 451620 487292 562260 609115 730938 843390 1096407 1218230 1461876 1686780 1808603 1827345 2192814 2436460 3617206 3654690 4385628 5425809 5482035 7234412 7309380 9043015 10851618 10964070 16277427 18086030 21703236 21928140 23511839 27129045 32554854 36172060 47023678 54258090 65109708 70535517 81387135 94047356 108516180 117559195 141071034 162774270 211606551 235118390 282142068 325548540 352677585 423213102 470236780 705355170 846426204 1058032755 1410710340 2116065510 4232131020