Search a number
-
+
23330131020 = 22325788121017
BaseRepresentation
bin10101101110100101…
…011000110001001100
32020012220202110012200
4111232211120301030
5340240003143040
614415005401500
71454066561460
oct255645306114
966186673180
1023330131020
119992283819
124631269290
13227a5a9771
1411b46a64a0
159182c1630
hex56e958c4c

23330131020 has 144 divisors (see below), whose sum is σ = 80973442368. Its totient is φ = 5326295040.

The previous prime is 23330130977. The next prime is 23330131039. The reversal of 23330131020 is 2013103332.

23330131020 is a `hidden beast` number, since 2 + 3 + 330 + 1 + 310 + 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 = 23330130984 and 23330131002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1099552 + ... + 1120568.

It is an arithmetic number, because the mean of its divisors is an integer number (562315572).

Almost surely, 223330131020 is an apocalyptic number.

23330131020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23330131020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40486721184).

23330131020 is an abundant number, since it is smaller than the sum of its proper divisors (57643311348).

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

23330131020 is a wasteful number, since it uses less digits than its factorization.

23330131020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21920 (or 21915 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 23330131020 its reverse (2013103332), we get a palindrome (25343234352).

The spelling of 23330131020 in words is "twenty-three billion, three hundred thirty million, one hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 881 1260 1762 2643 3524 4405 5286 6167 7929 8810 10572 12334 13215 15858 17620 18501 21017 24668 26430 30835 31716 37002 39645 42034 52860 55503 61670 63051 74004 79290 84068 92505 105085 111006 123340 126102 147119 158580 185010 189153 210170 222012 252204 277515 294238 315255 370020 378306 420340 441357 555030 588476 630510 735595 756612 882714 945765 1110060 1261020 1324071 1471190 1765428 1891530 2206785 2648142 2942380 3783060 4413570 5296284 6620355 8827140 13240710 18515977 26481420 37031954 55547931 74063908 92579885 111095862 129611839 166643793 185159770 222191724 259223678 277739655 333287586 370319540 388835517 518447356 555479310 648059195 666575172 777671034 833218965 1110958620 1166506551 1296118390 1555342068 1666437930 1944177585 2333013102 2592236780 3332875860 3888355170 4666026204 5832532755 7776710340 11665065510 23330131020