Search a number
-
+
20010123432 = 23321324118867
BaseRepresentation
bin10010101000101100…
…100100000010101000
31220122112120120222200
4102220230210002220
5311440042422212
613105330220200
71305604146165
oct225054440250
956575516880
1020010123432
1185392139a2
123a65424660
131b6b810730
14d7b79d06c
157c1aba6dc
hex4a8b240a8

20010123432 has 96 divisors (see below), whose sum is σ = 58393651680. Its totient is φ = 6153713280.

The previous prime is 20010123409. The next prime is 20010123473. The reversal of 20010123432 is 23432101002.

20010123432 is a `hidden beast` number, since 200 + 10 + 1 + 23 + 432 = 666.

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

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, 2252263 + ... + 2261129.

It is an arithmetic number, because the mean of its divisors is an integer number (608267205).

Almost surely, 220010123432 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 20010123432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29196825840).

20010123432 is an abundant number, since it is smaller than the sum of its proper divisors (38383528248).

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

20010123432 is a wasteful number, since it uses less digits than its factorization.

20010123432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11303 (or 11296 counting only the distinct ones).

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

Adding to 20010123432 its reverse (23432101002), we get a palindrome (43442224434).

The spelling of 20010123432 in words is "twenty billion, ten million, one hundred twenty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 2411 4822 7233 8867 9644 14466 17734 19288 21699 26601 28932 31343 35468 43398 53202 57864 62686 70936 79803 86796 94029 106404 115271 125372 159606 173592 188058 212808 230542 250744 282087 319212 345813 376116 461084 564174 638424 691626 752232 922168 1037439 1128348 1383252 2074878 2256696 2766504 4149756 8299512 21378337 42756674 64135011 85513348 128270022 171026696 192405033 256540044 277918381 384810066 513080088 555836762 769620132 833755143 1111673524 1539240264 1667510286 2223347048 2501265429 3335020572 5002530858 6670041144 10005061716 20010123432