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20023133230120 = 2357091523346349
BaseRepresentation
bin1001000110101111111111…
…01111100101010000101000
32121220012012120201100121111
410203113333233211100220
510111024334101330440
6110330300031320104
74134423623154316
oct443277757452050
977805176640544
1020023133230120
11641a843785239
1222b474a980034
13b23233b4c997
144d31a670b0b6
1524acaac114ea
hex1235ffbe5428

20023133230120 has 64 divisors (see below), whose sum is σ = 45119528010000. Its totient is φ = 7997259153408.

The previous prime is 20023133230117. The next prime is 20023133230123. The reversal of 20023133230120 is 2103233132002.

It is an interprime number because it is at equal distance from previous prime (20023133230117) and next prime (20023133230123).

It can be written as a sum of positive squares in 8 ways, for example, as 430133975716 + 19592999254404 = 655846^2 + 4426398^2 .

It is a super-2 number, since 2×200231332301202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20023133230091 and 20023133230100.

It is not an unprimeable number, because it can be changed into a prime (20023133230123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 431984706 + ... + 432031054.

Almost surely, 220023133230120 is an apocalyptic number.

20023133230120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20023133230120 is an abundant number, since it is smaller than the sum of its proper divisors (25096394779880).

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

20023133230120 is a wasteful number, since it uses less digits than its factorization.

20023133230120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62302 (or 62298 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 20023133230120 its reverse (2103233132002), we get a palindrome (22126366362122).

The spelling of 20023133230120 in words is "twenty trillion, twenty-three billion, one hundred thirty-three million, two hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 709 1418 2836 3545 5672 7090 14180 15233 28360 30466 46349 60932 76165 92698 121864 152330 185396 231745 304660 370792 463490 609320 926980 1853960 10800197 21600394 32861441 43200788 54000985 65722882 86401576 108001970 131445764 164307205 216003940 262891528 328614410 432007880 657228820 706034317 1314457640 1412068634 2824137268 3530171585 5648274536 7060343170 14120686340 28241372680 500578330753 1001156661506 2002313323012 2502891653765 4004626646024 5005783307530 10011566615060 20023133230120