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20133431430 = 23573126911497
BaseRepresentation
bin10010110000000010…
…111100100010000110
31220222010121021202120
4102300002330202012
5312213124301210
613125453150410
71311632225550
oct226002744206
956863537676
1020133431430
1185a1885032
123a9a78b406
131b8b225248
14d8dcda4d0
157cc826270
hex4b00bc886

20133431430 has 128 divisors (see below), whose sum is σ = 57221406720. Its totient is φ = 4436536320.

The previous prime is 20133431333. The next prime is 20133431443. The reversal of 20133431430 is 3413433102.

It is a super-2 number, since 2×201334314302 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20133431430.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1745442 + ... + 1756938.

It is an arithmetic number, because the mean of its divisors is an integer number (447042240).

Almost surely, 220133431430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20133431430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28610703360).

20133431430 is an abundant number, since it is smaller than the sum of its proper divisors (37087975290).

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

20133431430 is a wasteful number, since it uses less digits than its factorization.

20133431430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11814.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 20133431430 its reverse (3413433102), we get a palindrome (23546864532).

The spelling of 20133431430 in words is "twenty billion, one hundred thirty-three million, four hundred thirty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 31 35 42 62 70 93 105 155 186 210 217 269 310 434 465 538 651 807 930 1085 1302 1345 1614 1883 2170 2690 3255 3766 4035 5649 6510 8070 8339 9415 11298 11497 16678 18830 22994 25017 28245 34491 41695 50034 56490 57485 58373 68982 80479 83390 114970 116746 125085 160958 172455 175119 241437 250170 291865 344910 350238 356407 402395 482874 583730 712814 804790 875595 1069221 1207185 1751190 1782035 2138442 2414370 2494849 3092693 3564070 4989698 5346105 6185386 7484547 9278079 10692210 12474245 14969094 15463465 18556158 21648851 24948490 30926930 37422735 43297702 46390395 64946553 74845470 92780790 95873483 108244255 129893106 191746966 216488510 287620449 324732765 479367415 575240898 649465530 671114381 958734830 1342228762 1438102245 2013343143 2876204490 3355571905 4026686286 6711143810 10066715715 20133431430