Search a number
-
+
10202210201144 = 23131747691177679
BaseRepresentation
bin1001010001110110001100…
…0111010110111000111000
31100010022200120101210022102
42110131203013112320320
52314123111302414034
633410455231242532
72102041164605363
oct224354307267070
940108616353272
1010202210201144
113283807762035
12118930b679448
135900ab33b310
14273b0a9850da
1512a5b244b97e
hex947631d6e38

10202210201144 has 128 divisors (see below), whose sum is σ = 22308875366400. Its totient is φ = 4331135784960.

The previous prime is 10202210201143. The next prime is 10202210201147. The reversal of 10202210201144 is 44110201220201.

10202210201144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202210201143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57330497 + ... + 57508175.

It is an arithmetic number, because the mean of its divisors is an integer number (174288088800).

Almost surely, 210202210201144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10202210201144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11154437683200).

10202210201144 is an abundant number, since it is smaller than the sum of its proper divisors (12106665165256).

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

10202210201144 is a wasteful number, since it uses less digits than its factorization.

10202210201144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178453 (or 178449 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 10202210201144 its reverse (44110201220201), we get a palindrome (54312411421345).

The spelling of 10202210201144 in words is "ten trillion, two hundred two billion, two hundred ten million, two hundred one thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 17 26 34 47 52 68 94 104 136 188 221 376 442 611 691 799 884 1222 1382 1598 1768 2444 2764 3196 4888 5528 6392 8983 10387 11747 17966 20774 23494 32477 35932 41548 46988 64954 71864 83096 93976 129908 152711 177679 259816 305422 355358 422201 552109 610844 710716 844402 1104218 1221688 1421432 1688804 2208436 2309827 3020543 3377608 4416872 4619654 6041086 7177417 8350913 9239308 12082172 14354834 16701826 18478616 24164344 28709668 33403652 39267059 57419336 66807304 78534118 108561869 122776189 141965521 157068236 217123738 245552378 283931042 314136472 434247476 491104756 567862084 868494952 982209512 1135724168 1596090457 1845551773 2087195213 3192180914 3691103546 4174390426 5770480883 6384361828 7382207092 8348780852 11540961766 12768723656 14764414184 16697561704 23081923532 27133537769 46163847064 54267075538 75016251479 98098175011 108534151076 150032502958 196196350022 217068302152 300065005916 392392700044 600130011832 784785400088 1275276275143 2550552550286 5101105100572 10202210201144