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130063225635 = 3457292695881
BaseRepresentation
bin111100100100001011…
…1110101001100100011
3110102201022220102220000
41321020113311030203
54112332141210020
6135430014151043
712253042114440
oct1711027651443
9412638812800
10130063225635
1150183333522
1221259ab2483
13c35a010a55
14641ba469c7
1535b36a2090
hex1e485f5323

130063225635 has 160 divisors (see below), whose sum is σ = 276717513600. Its totient is φ = 57184081920.

The previous prime is 130063225603. The next prime is 130063225637. The reversal of 130063225635 is 536522360031.

130063225635 is a `hidden beast` number, since 1 + 30 + 0 + 63 + 2 + 2 + 563 + 5 = 666.

It is not a de Polignac number, because 130063225635 - 25 = 130063225603 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 130063225635.

It is not an unprimeable number, because it can be changed into a prime (130063225637) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 22112895 + ... + 22118775.

It is an arithmetic number, because the mean of its divisors is an integer number (1729484460).

Almost surely, 2130063225635 is an apocalyptic number.

130063225635 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

130063225635 is an abundant number, since it is smaller than the sum of its proper divisors (146654287965).

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

130063225635 is a wasteful number, since it uses less digits than its factorization.

130063225635 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6203 (or 6194 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

Adding to 130063225635 its reverse (536522360031), we get a palindrome (666585585666).

The spelling of 130063225635 in words is "one hundred thirty billion, sixty-three million, two hundred twenty-five thousand, six hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 27 29 35 45 63 81 87 105 135 145 189 203 261 269 315 405 435 567 609 783 807 945 1015 1305 1345 1827 1883 2349 2421 2835 3045 3915 4035 5481 5649 5881 7263 7801 9135 9415 11745 12105 16443 16947 17643 21789 23403 27405 28245 29405 36315 39005 41167 50841 52929 54607 70209 82215 84735 88215 108945 117015 123501 152523 158787 163821 170549 205835 210627 254205 264645 273035 351045 370503 476361 491463 511647 617505 631881 762615 793935 819105 852745 1053135 1111509 1193843 1474389 1534941 1581989 1852515 2381805 2457315 2558235 3159405 3334527 3581529 4423167 4604823 4745967 5557545 5969215 7371945 7674705 7909945 10744587 11073923 13814469 14237901 16672635 17907645 22115835 23024115 23729835 32233761 33221769 42713703 45877681 53722935 55369615 69072345 71189505 96701283 99665307 128141109 137633043 161168805 166108845 213568515 229388405 298995921 321143767 412899129 483506415 498326535 640705545 688165215 896987763 963431301 1238697387 1494979605 1605718835 2064495645 2890293903 3716092161 4484938815 4817156505 6193486935 8670881709 14451469515 18580460805 26012645127 43354408545 130063225635