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136642051100 = 225219318572707
BaseRepresentation
bin111111101000010000…
…0000011110000011100
3111001200211010101211102
41333100200003300130
54214320331113400
6142434505212232
712605055161552
oct1772040036034
9431624111742
10136642051100
1152a4996a465
1222595191078
13cb67ca0499
146883689bd2
15384b0239d5
hex1fd0803c1c

136642051100 has 144 divisors (see below), whose sum is σ = 322682680320. Its totient is φ = 50032857600.

The previous prime is 136642051097. The next prime is 136642051141. The reversal of 136642051100 is 1150246631.

It is a happy number.

It is a super-2 number, since 2×1366420511002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50475947 + ... + 50478653.

Almost surely, 2136642051100 is an apocalyptic number.

136642051100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136642051100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161341340160).

136642051100 is an abundant number, since it is smaller than the sum of its proper divisors (186040629220).

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

136642051100 is a wasteful number, since it uses less digits than its factorization.

136642051100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3628 (or 3621 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

Adding to 136642051100 its reverse (1150246631), we get a palindrome (137792297731).

The spelling of 136642051100 in words is "one hundred thirty-six billion, six hundred forty-two million, fifty-one thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 31 38 50 62 76 95 100 124 155 190 310 380 475 589 620 775 857 950 1178 1550 1714 1900 2356 2707 2945 3100 3428 4285 5414 5890 8570 10828 11780 13535 14725 16283 17140 21425 26567 27070 29450 32566 42850 51433 53134 54140 58900 65132 67675 81415 83917 85700 102866 106268 132835 135350 162830 167834 205732 257165 265670 270700 325660 335668 407075 419585 504773 514330 531340 664175 814150 839170 1009546 1028660 1285825 1328350 1594423 1628300 1678340 2019092 2097925 2319899 2523865 2571650 2656700 3188846 4195850 4639798 5047730 5143300 6377692 7972115 8391700 9279596 10095460 11599495 12619325 15944230 23198990 25238650 31888460 39860575 44078081 46397980 50477300 57997475 71916869 79721150 88156162 115994950 143833738 159442300 176312324 220390405 231989900 287667476 359584345 440780810 719168690 881561620 1101952025 1366420511 1438337380 1797921725 2203904050 2732841022 3595843450 4407808100 5465682044 6832102555 7191686900 13664205110 27328410220 34160512775 68321025550 136642051100