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20134313024 = 267291579871
BaseRepresentation
bin10010110000000110…
…010011110001000000
31220222012021002002012
4102300012103301000
5312213341004044
613125524112052
71311642560030
oct226006236100
956865232065
1020134313024
1185a2327421
123a9ab35628
131b8b4735b7
14d900898c0
157cc94c59e
hex4b0193c40

20134313024 has 112 divisors (see below), whose sum is σ = 47541972480. Its totient is φ = 8277534720.

The previous prime is 20134313021. The next prime is 20134313027. The reversal of 20134313024 is 42031343102.

It is an interprime number because it is at equal distance from previous prime (20134313021) and next prime (20134313027).

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×201343130243 (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (20134313021) 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, 2034809 + ... + 2044679.

Almost surely, 220134313024 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 20134313024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23770986240).

20134313024 is an abundant number, since it is smaller than the sum of its proper divisors (27407659456).

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

20134313024 is a wasteful number, since it uses less digits than its factorization.

20134313024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10076 (or 10066 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 20134313024 its reverse (42031343102), we get a palindrome (62165656126).

The spelling of 20134313024 in words is "twenty billion, one hundred thirty-four million, three hundred thirteen thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 157 203 224 232 314 406 448 464 628 812 928 1099 1256 1624 1856 2198 2512 3248 4396 4553 5024 6496 8792 9106 9871 10048 12992 17584 18212 19742 31871 35168 36424 39484 63742 69097 70336 72848 78968 127484 138194 145696 157936 254968 276388 286259 291392 315872 509936 552776 572518 631744 1019872 1105552 1145036 1549747 2003813 2039744 2211104 2290072 3099494 4007626 4422208 4580144 6198988 8015252 9160288 10848229 12397976 16030504 18320576 21696458 24795952 32061008 43392916 44942663 49591904 64122016 86785832 89885326 99183808 128244032 173571664 179770652 314598641 347143328 359541304 629197282 694286656 719082608 1258394564 1438165216 2516789128 2876330432 5033578256 10067156512 20134313024