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1020005000520 = 2335117310585357
BaseRepresentation
bin11101101011111010000…
…10010010010101001000
310121111210220100202011020
432311331002102111020
5113202432240004040
62100330035032440
7133456450310502
oct16657502222510
93544726322136
101020005000520
1136364425a980
1214582573b720
1375255a0455c
1437523270d72
151b7ecb6dcd0
hexed7d092548

1020005000520 has 128 divisors (see below), whose sum is σ = 3383927245440. Its totient is φ = 243886602240.

The previous prime is 1020005000513. The next prime is 1020005000587. The reversal of 1020005000520 is 250005000201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1020005000520.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5196319 + ... + 5389038.

It is an arithmetic number, because the mean of its divisors is an integer number (26436931605).

Almost surely, 21020005000520 is an apocalyptic number.

1020005000520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020005000520 is an abundant number, since it is smaller than the sum of its proper divisors (2363922244920).

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

1020005000520 is a wasteful number, since it uses less digits than its factorization.

1020005000520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10585455 (or 10585451 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The spelling of 1020005000520 in words is "one trillion, twenty billion, five million, five hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 73 88 110 120 132 146 165 219 220 264 292 330 365 438 440 584 660 730 803 876 1095 1320 1460 1606 1752 2190 2409 2920 3212 4015 4380 4818 6424 8030 8760 9636 12045 16060 19272 24090 32120 48180 96360 10585357 21170714 31756071 42341428 52926785 63512142 84682856 105853570 116438927 127024284 158780355 211707140 232877854 254048568 317560710 349316781 423414280 465755708 582194635 635121420 698633562 772731061 931511416 1164389270 1270242840 1397267124 1545462122 1746583905 2318193183 2328778540 2794534248 3090924244 3493167810 3863655305 4636386366 4657557080 6181848488 6986335620 7727310610 8500041671 9272772732 11590965915 13972671240 15454621220 17000083342 18545545464 23181931830 25500125013 30909242440 34000166684 42500208355 46363863660 51000250026 68000333368 85000416710 92727727320 102000500052 127500625065 170000833420 204001000104 255001250130 340001666840 510002500260 1020005000520