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1002212004200 = 235211644970639
BaseRepresentation
bin11101001010110000111…
…11011001000101101000
310112210212212200212210112
432211120133121011220
5112410012233113300
62044224305233452
7132256514322611
oct16453037310550
93483785625715
101002212004200
11357043604440
1214229a932888
137367b641074
143671612ac08
151b10aa54e35
hexe9587d9168

1002212004200 has 96 divisors (see below), whose sum is σ = 2542404240000. Its totient is φ = 364379059200.

The previous prime is 1002212004191. The next prime is 1002212004223. The reversal of 1002212004200 is 24002122001.

1002212004200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14152481 + ... + 14223119.

It is an arithmetic number, because the mean of its divisors is an integer number (26483377500).

Almost surely, 21002212004200 is an apocalyptic number.

1002212004200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002212004200 is an abundant number, since it is smaller than the sum of its proper divisors (1540192235800).

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

1002212004200 is a wasteful number, since it uses less digits than its factorization.

1002212004200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77115 (or 77106 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 1002212004200 its reverse (24002122001), we get a palindrome (1026214126201).

The spelling of 1002212004200 in words is "one trillion, two billion, two hundred twelve million, four thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 6449 12898 25796 32245 51592 64490 70639 70939 128980 141278 141878 161225 257960 282556 283756 322450 353195 354695 565112 567512 644900 706390 709390 777029 1289800 1412780 1418780 1554058 1765975 1773475 2825560 2837560 3108116 3531950 3546950 3885145 6216232 7063900 7093900 7770290 14127800 14187800 15540580 19425725 31081160 38851450 77702900 155405800 455550911 911101822 1822203644 2277754555 3644407288 4555509110 5011060021 9111018220 10022120042 11388772775 18222036440 20044240084 22777545550 25055300105 40088480168 45555091100 50110600210 91110182200 100221200420 125276500525 200442400840 250553001050 501106002100 1002212004200