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20123001234 = 234767833191
BaseRepresentation
bin10010101111011011…
…001010000110010010
31220221101222101020000
4102233123022012102
5312202442014414
613124441430430
71311444455040
oct225733120622
956841871200
1020123001234
118596a00736
123a9719b416
131b8901292b
14d8c783390
157cb965b09
hex4af6ca192

20123001234 has 160 divisors (see below), whose sum is σ = 52947772416. Its totient is φ = 5593626720.

The previous prime is 20123001233. The next prime is 20123001247. The reversal of 20123001234 is 43210032102.

20123001234 is a `hidden beast` number, since 201 + 230 + 0 + 1 + 234 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (20123001233) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 6304579 + ... + 6307769.

Almost surely, 220123001234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20123001234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26473886208).

20123001234 is an abundant number, since it is smaller than the sum of its proper divisors (32824771182).

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

20123001234 is a wasteful number, since it uses less digits than its factorization.

20123001234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3362 (or 3353 counting only the distinct ones).

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

Adding to 20123001234 its reverse (43210032102), we get a palindrome (63333033336).

The spelling of 20123001234 in words is "twenty billion, one hundred twenty-three million, one thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 67 81 83 126 134 162 166 189 201 249 378 402 469 498 567 581 603 747 938 1134 1162 1206 1407 1494 1743 1809 2241 2814 3191 3486 3618 4221 4482 5229 5427 5561 6382 6723 8442 9573 10458 10854 11122 12663 13446 15687 16683 19146 22337 25326 28719 31374 33366 37989 38927 44674 47061 50049 57438 67011 75978 77854 86157 94122 100098 116781 134022 150147 172314 201033 213797 233562 258471 264853 300294 350343 402066 427594 450441 516942 529706 603099 641391 700686 794559 900882 1051029 1206198 1282782 1496579 1589118 1809297 1853971 1924173 2102058 2383677 2993158 3153087 3618594 3707942 3848346 4489737 4767354 5561913 5772519 6306174 7151031 8979474 11123826 11545038 13469211 14302062 16685739 17317557 17745151 21453093 26938422 33371478 34635114 35490302 40407633 42906186 50057217 53235453 80815266 100114434 106470906 121222899 124216057 150171651 159706359 242445798 248432114 300343302 319412718 372648171 479119077 745296342 958238154 1117944513 1437357231 2235889026 2874714462 3353833539 6707667078 10061500617 20123001234