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1003121013300 = 2235272320768551
BaseRepresentation
bin11101001100011101010…
…10111111001000110100
310112220020020011022212020
432212032222333020310
5112413342434411200
62044454420353140
7132321162633120
oct16461652771064
93486206138766
101003121013300
1135746a72a42a
121424b32457b0
1373794a70283
14367a0b50580
151b160760ea0
hexe98eabf234

1003121013300 has 144 divisors (see below), whose sum is σ = 3461203802112. Its totient is φ = 219315888000.

The previous prime is 1003121013281. The next prime is 1003121013313. The reversal of 1003121013300 is 33101213001.

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 1003121013300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10335976 + ... + 10432575.

Almost surely, 21003121013300 is an apocalyptic number.

1003121013300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003121013300 is an abundant number, since it is smaller than the sum of its proper divisors (2458082788812).

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

1003121013300 is a wasteful number, since it uses less digits than its factorization.

1003121013300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20768598 (or 20768591 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 1003121013300 its reverse (33101213001), we get a palindrome (1036222226301).

The spelling of 1003121013300 in words is "one trillion, three billion, one hundred twenty-one million, thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 23 25 28 30 35 42 46 50 60 69 70 75 84 92 100 105 115 138 140 150 161 175 210 230 276 300 322 345 350 420 460 483 525 575 644 690 700 805 966 1050 1150 1380 1610 1725 1932 2100 2300 2415 3220 3450 4025 4830 6900 8050 9660 12075 16100 24150 48300 20768551 41537102 62305653 83074204 103842755 124611306 145379857 207685510 249222612 290759714 311528265 415371020 436139571 477676673 519213775 581519428 623056530 726899285 872279142 955353346 1038427550 1246113060 1433030019 1453798570 1557641325 1744558284 1910706692 2076855100 2180697855 2388383365 2866060038 2907597140 3115282650 3343736711 3634496425 4361395710 4776766730 5732120076 6230565300 6687473422 7165150095 7268992850 8722791420 9553533460 10031210133 10903489275 11941916825 13374946844 14330300190 14537985700 16718683555 20062420266 21806978550 23883833650 28660600380 33437367110 35825750475 40124840532 43613957100 47767667300 50156050665 66874734220 71651500950 83593417775 100312101330 143303001900 167186835550 200624202660 250780253325 334373671100 501560506650 1003121013300