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2135102420 = 22511172324821
BaseRepresentation
bin111111101000011…
…0001001111010100
312111210120102220102
41333100301033110
513333041234140
6551510353232
7103624033253
oct17720611724
95453512812
102135102420
119a6234060
124b705b818
1328045b419
141637c679a
15c769ce15
hex7f4313d4

2135102420 has 96 divisors (see below), whose sum is σ = 5404444416. Its totient is φ = 698931200.

The previous prime is 2135102341. The next prime is 2135102423. The reversal of 2135102420 is 242015312.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2135102392 and 2135102401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2135102423) 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 31 ways as a sum of consecutive naturals, for example, 73610 + ... + 98430.

It is an arithmetic number, because the mean of its divisors is an integer number (56296296).

Almost surely, 22135102420 is an apocalyptic number.

2135102420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2135102420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2702222208).

2135102420 is an abundant number, since it is smaller than the sum of its proper divisors (3269341996).

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

2135102420 is a wasteful number, since it uses less digits than its factorization.

2135102420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24881 (or 24879 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2135102420 is about 46207.1684914798. The cubic root of 2135102420 is about 1287.6749216575.

Adding to 2135102420 its reverse (242015312), we get a palindrome (2377117732).

The spelling of 2135102420 in words is "two billion, one hundred thirty-five million, one hundred two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 23 34 44 46 55 68 85 92 110 115 170 187 220 230 253 340 374 391 460 506 748 782 935 1012 1265 1564 1870 1955 2530 3740 3910 4301 5060 7820 8602 17204 21505 24821 43010 49642 86020 99284 124105 248210 273031 421957 496420 546062 570883 843914 1092124 1141766 1365155 1687828 2109785 2283532 2730310 2854415 4219570 4641527 5460620 5708830 6279713 8439140 9283054 9705011 11417660 12559426 18566108 19410022 23207635 25118852 31398565 38820044 46415270 48525055 62797130 92830540 97050110 106755121 125594260 194100220 213510242 427020484 533775605 1067551210 2135102420