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1000210130040 = 2335111136705619
BaseRepresentation
bin11101000111000010010…
…10110110010001111000
310112121201100211010201010
432203201022312101320
5112341412243130130
62043253514153520
7132156065554032
oct16434112662170
93477640733633
101000210130040
113562065a7790
12141a204228a0
137341c98b944
14365a6304c52
151b03ee220b0
hexe8e12b6478

1000210130040 has 128 divisors (see below), whose sum is σ = 3302383737600. Its totient is φ = 240329349120.

The previous prime is 1000210130039. The next prime is 1000210130047. The reversal of 1000210130040 is 400310120001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1000210129998 and 1000210130025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000210130047) 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 31 ways as a sum of consecutive naturals, for example, 3203650 + ... + 3501969.

It is an arithmetic number, because the mean of its divisors is an integer number (25799872950).

Almost surely, 21000210130040 is an apocalyptic number.

1000210130040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000210130040 is an abundant number, since it is smaller than the sum of its proper divisors (2302173607560).

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

1000210130040 is a wasteful number, since it uses less digits than its factorization.

1000210130040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6705757 (or 6705753 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1000210130040 its reverse (400310120001), we get a palindrome (1400520250041).

The spelling of 1000210130040 in words is "one trillion, two hundred ten million, one hundred thirty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 113 120 132 165 220 226 264 330 339 440 452 565 660 678 904 1130 1243 1320 1356 1695 2260 2486 2712 3390 3729 4520 4972 6215 6780 7458 9944 12430 13560 14916 18645 24860 29832 37290 49720 74580 149160 6705619 13411238 20116857 26822476 33528095 40233714 53644952 67056190 73761809 80467428 100584285 134112380 147523618 160934856 201168570 221285427 268224760 295047236 368809045 402337140 442570854 590094472 737618090 757734947 804674280 885141708 1106427135 1475236180 1515469894 1770283416 2212854270 2273204841 2950472360 3030939788 3788674735 4425708540 4546409682 6061879576 7577349470 8335084417 8851417080 9092819364 11366024205 15154698940 16670168834 18185638728 22732048410 25005253251 30309397880 33340337668 41675422085 45464096820 50010506502 66680675336 83350844170 90928193640 100021013004 125026266255 166701688340 200042026008 250052532510 333403376680 500105065020 1000210130040