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1087349240200 = 235253102580117
BaseRepresentation
bin11111101001010110001…
…00001011000110001000
310211221122020102120202111
433310223010023012020
5120303342401141300
62151304335512104
7141362346020626
oct17645304130610
93757566376674
101087349240200
1138a162331a03
1215689b088634
137b6c8b849a2
143a8b128c516
151d4400379ba
hexfd2b10b188

1087349240200 has 48 divisors (see below), whose sum is σ = 2575786762980. Its totient is φ = 426733282560.

The previous prime is 1087349240167. The next prime is 1087349240203. The reversal of 1087349240200 is 20429437801.

It can be written as a sum of positive squares in 6 ways, for example, as 491084199076 + 596265041124 = 700774^2 + 772182^2 .

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1087349240203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51279459 + ... + 51300658.

Almost surely, 21087349240200 is an apocalyptic number.

1087349240200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1087349240200 is an abundant number, since it is smaller than the sum of its proper divisors (1488437522780).

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

1087349240200 is a wasteful number, since it uses less digits than its factorization.

1087349240200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102580186 (or 102580177 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 1087349240200 in words is "one trillion, eighty-seven billion, three hundred forty-nine million, two hundred forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 200 212 265 424 530 1060 1325 2120 2650 5300 10600 102580117 205160234 410320468 512900585 820640936 1025801170 2051602340 2564502925 4103204680 5129005850 5436746201 10258011700 10873492402 20516023400 21746984804 27183731005 43493969608 54367462010 108734924020 135918655025 217469848040 271837310050 543674620100 1087349240200