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100244004041000 = 2353233430231777
BaseRepresentation
bin10110110010101111100000…
…010000000111000100101000
3111010221020021222222002221102
4112302233200100013010220
5101114344210013303000
6553111243144100532
730054250604234051
oct2662574020070450
9433836258862842
10100244004041000
1129a39274a1a706
12b2abb62164748
1343c1c79c224b1
141aa7b9b187728
15b8c89aeed3d5
hex5b2be0407128

100244004041000 has 64 divisors (see below), whose sum is σ = 235577712361680. Its totient is φ = 39925508812800.

The previous prime is 100244004040987. The next prime is 100244004041029. The reversal of 100244004041000 is 140400442001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 11818455088804 + 88425548952196 = 3437798^2 + 9403486^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 15 ways as a sum of consecutive naturals, for example, 214882889 + ... + 215348888.

Almost surely, 2100244004041000 is an apocalyptic number.

100244004041000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100244004041000 is an abundant number, since it is smaller than the sum of its proper divisors (135333708320680).

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

100244004041000 is a wasteful number, since it uses less digits than its factorization.

100244004041000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430232031 (or 430232017 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 100244004041000 its reverse (140400442001), we get a palindrome (100384404483001).

The spelling of 100244004041000 in words is "one hundred trillion, two hundred forty-four billion, four million, forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 233 250 466 500 932 1000 1165 1864 2330 4660 5825 9320 11650 23300 29125 46600 58250 116500 233000 430231777 860463554 1720927108 2151158885 3441854216 4302317770 8604635540 10755794425 17209271080 21511588850 43023177700 53778972125 86046355400 100244004041 107557944250 200488008082 215115888500 400976016164 430231777000 501220020205 801952032328 1002440040410 2004880080820 2506100101025 4009760161640 5012200202050 10024400404100 12530500505125 20048800808200 25061001010250 50122002020500 100244004041000