Search a number
-
+
23211100013400 = 23325213991927351
BaseRepresentation
bin1010100011100010000010…
…10111110000001101011000
310001011221220110122120102200
411101301001113300031120
511020242313100412100
6121211010535330200
74613642460545055
oct521610127601530
9101157813576380
1023211100013400
117439854933302
12272a572520960
13cc4a499a7070
145a35cd4dc02c
152a3b92296e00
hex151c415f0358

23211100013400 has 144 divisors (see below), whose sum is σ = 83946811799760. Its totient is φ = 5713501536000.

The previous prime is 23211100013357. The next prime is 23211100013441. The reversal of 23211100013400 is 431000111232.

23211100013400 is a `hidden beast` number, since 2 + 321 + 1 + 1 + 0 + 0 + 0 + 1 + 340 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 495940276 + ... + 495987075.

Almost surely, 223211100013400 is an apocalyptic number.

23211100013400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23211100013400 is an abundant number, since it is smaller than the sum of its proper divisors (60735711786360).

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

23211100013400 is a wasteful number, since it uses less digits than its factorization.

23211100013400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991927386 (or 991927374 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 23211100013400 its reverse (431000111232), we get a palindrome (23642100124632).

The spelling of 23211100013400 in words is "twenty-three trillion, two hundred eleven billion, one hundred million, thirteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 25 26 30 36 39 40 45 50 52 60 65 72 75 78 90 100 104 117 120 130 150 156 180 195 200 225 234 260 300 312 325 360 390 450 468 520 585 600 650 780 900 936 975 1170 1300 1560 1800 1950 2340 2600 2925 3900 4680 5850 7800 11700 23400 991927351 1983854702 2975782053 3967709404 4959636755 5951564106 7935418808 8927346159 9919273510 11903128212 12895055563 14878910265 17854692318 19838547020 23806256424 24798183775 25790111126 29757820530 35709384636 38685166689 39677094040 44636730795 49596367550 51580222252 59515641060 64475277815 71418769272 74394551325 77370333378 89273461590 99192735100 103160444504 116055500067 119031282120 128950555630 148789102650 154740666756 178546923180 193425833445 198385470200 223183653975 232111000134 257901111260 297578205300 309481333512 322376389075 357093846360 386851666890 446367307950 464222000268 515802222520 580277500335 595156410600 644752778150 773703333780 892734615900 928444000536 967129167225 1160555000670 1289505556300 1547406667560 1785469231800 1934258334450 2321110001340 2579011112600 2901387501675 3868516668900 4642220002680 5802775003350 7737033337800 11605550006700 23211100013400