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1001001012200 = 235271937631617
BaseRepresentation
bin11101001000100000100…
…11110100101111101000
310112200202111000010001222
432210100103310233220
5112400022224342300
62043504205401212
7132214511133650
oct16442023645750
93480674003058
101001001012200
11356581a80202
12142001269208
137351779b657
143663d379360
151b089597785
hexe9104f4be8

1001001012200 has 96 divisors (see below), whose sum is σ = 2799792379200. Its totient is φ = 325137162240.

The previous prime is 1001001012169. The next prime is 1001001012239. The reversal of 1001001012200 is 22101001001.

It is a Harshad number since it is a multiple of its sum of digits (8).

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 23 ways as a sum of consecutive naturals, for example, 18789209 + ... + 18842408.

It is an arithmetic number, because the mean of its divisors is an integer number (29164503950).

Almost surely, 21001001012200 is an apocalyptic number.

1001001012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001001012200 is an abundant number, since it is smaller than the sum of its proper divisors (1798791367000).

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

1001001012200 is a wasteful number, since it uses less digits than its factorization.

1001001012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37631659 (or 37631650 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1001001012200 its reverse (22101001001), we get a palindrome (1023102013201).

The spelling of 1001001012200 in words is "one trillion, one billion, one million, twelve thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 19 20 25 28 35 38 40 50 56 70 76 95 100 133 140 152 175 190 200 266 280 350 380 475 532 665 700 760 950 1064 1330 1400 1900 2660 3325 3800 5320 6650 13300 26600 37631617 75263234 150526468 188158085 263421319 301052936 376316170 526842638 715000723 752632340 940790425 1053685276 1317106595 1430001446 1505264680 1881580850 2107370552 2634213190 2860002892 3575003615 3763161700 5005005061 5268426380 5720005784 6585532975 7150007230 7526323400 10010010122 10536852760 13171065950 14300014460 17875018075 20020020244 25025025305 26342131900 28600028920 35750036150 40040040488 50050050610 52684263800 71500072300 100100101220 125125126525 143000144600 200200202440 250250253050 500500506100 1001001012200