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1351234010424 = 2331937357113913
BaseRepresentation
bin10011101010011011110…
…100101011110100111000
311210011202211011211220210
4103222123310223310320
5134114311401313144
62512425350151120
7166423560403224
oct23523364536470
94704684154823
101351234010424
11481067410571
12199a656524a0
139a561708b3c
1449585b3d784
1525236cc2ab9
hex13a9bd2bd38

1351234010424 has 128 divisors (see below), whose sum is σ = 3571913030400. Its totient is φ = 424785669120.

The previous prime is 1351234010393. The next prime is 1351234010521. The reversal of 1351234010424 is 4240104321531.

It is a junction number, because it is equal to n+sod(n) for n = 1351234010391 and 1351234010400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97113292 + ... + 97127204.

It is an arithmetic number, because the mean of its divisors is an integer number (27905570550).

Almost surely, 21351234010424 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 1351234010424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785956515200).

1351234010424 is an abundant number, since it is smaller than the sum of its proper divisors (2220679019976).

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

1351234010424 is a wasteful number, since it uses less digits than its factorization.

1351234010424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14885 (or 14881 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 1351234010424 its reverse (4240104321531), we get a palindrome (5591338331955).

The spelling of 1351234010424 in words is "one trillion, three hundred fifty-one billion, two hundred thirty-four million, ten thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 373 456 571 746 1119 1142 1492 1713 2238 2284 2984 3426 4476 4568 6852 7087 8952 10849 13704 13913 14174 21261 21698 27826 28348 32547 41739 42522 43396 55652 56696 65094 83478 85044 86792 111304 130188 166956 170088 212983 260376 264347 333912 425966 528694 638949 793041 851932 1057388 1277898 1586082 1703864 2114776 2555796 3172164 4046677 5111592 5189549 6344328 7944323 8093354 10379098 12140031 15568647 15888646 16186708 20758196 23832969 24280062 31137294 31777292 32373416 41516392 47665938 48560124 62274588 63554584 95331876 97120248 98601431 124549176 150942137 190663752 197202862 295804293 301884274 394405724 452826411 591608586 603768548 788811448 905652822 1183217172 1207537096 1811305644 2366434344 2963232479 3622611288 5926464958 8889697437 11852929916 17779394874 23705859832 35558789748 56301417101 71117579496 112602834202 168904251303 225205668404 337808502606 450411336808 675617005212 1351234010424