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1003201121130 = 2351310388328283
BaseRepresentation
bin11101001100100110111…
…00100100101101101010
310112220102210220020010220
432212103130210231222
5112414023441334010
62044510401350510
7132323154555465
oct16462334445552
93486383806126
101003201121130
1135750097464a
12142516038436
13737a853a760
14367ab6442dc
151b1677d6970
hexe993724b6a

1003201121130 has 128 divisors (see below), whose sum is σ = 2621120366592. Its totient is φ = 244258737408.

The previous prime is 1003201121099. The next prime is 1003201121149. The reversal of 1003201121130 is 311211023001.

It is a happy number.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35455969 + ... + 35484251.

It is an arithmetic number, because the mean of its divisors is an integer number (20477502864).

Almost surely, 21003201121130 is an apocalyptic number.

1003201121130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003201121130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310560183296).

1003201121130 is an abundant number, since it is smaller than the sum of its proper divisors (1617919245462).

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

1003201121130 is a wasteful number, since it uses less digits than its factorization.

1003201121130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29292.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1003201121130 its reverse (311211023001), we get a palindrome (1314412144131).

The spelling of 1003201121130 in words is "one trillion, three billion, two hundred one million, one hundred twenty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 103 130 195 206 309 390 515 618 883 1030 1339 1545 1766 2649 2678 3090 4017 4415 5298 6695 8034 8830 11479 13245 13390 20085 22958 26490 28283 34437 40170 56566 57395 68874 84849 90949 114790 141415 169698 172185 181898 272847 282830 344370 367679 424245 454745 545694 735358 848490 909490 1103037 1182337 1364235 1838395 2206074 2364674 2728470 2913149 3547011 3676790 5515185 5826298 5911685 7094022 8739447 11030370 11823370 14565745 17478894 17735055 24973889 29131490 35470110 37870937 43697235 49947778 74921667 75741874 87394470 113612811 124869445 149843334 189354685 227225622 249738890 324660557 374608335 378709370 568064055 649321114 749216670 973981671 1136128110 1623302785 1947963342 2572310567 3246605570 4869908355 5144621134 7716931701 9739816710 12861552835 15433863402 25723105670 33440037371 38584658505 66880074742 77169317010 100320112113 167200186855 200640224226 334400373710 501600560565 1003201121130