Search a number
-
+
101022142340 = 225719191198839
BaseRepresentation
bin101111000010101100…
…0111000111110000100
3100122202101222112221102
41132011120320332010
53123343132023330
6114224155035232
710204265020220
oct1360530707604
9318671875842
10101022142340
1139930402839
12176b413bb18
1396ac5001b2
144c64ad3780
152963d41945
hex1785638f84

101022142340 has 96 divisors (see below), whose sum is σ = 256551321600. Its totient is φ = 32641246080.

The previous prime is 101022142313. The next prime is 101022142349. The reversal of 101022142340 is 43241220101.

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

It is not an unprimeable number, because it can be changed into a prime (101022142349) 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, 408641 + ... + 607479.

It is an arithmetic number, because the mean of its divisors is an integer number (2672409600).

Almost surely, 2101022142340 is an apocalyptic number.

101022142340 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 101022142340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128275660800).

101022142340 is an abundant number, since it is smaller than the sum of its proper divisors (155529179260).

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

101022142340 is a wasteful number, since it uses less digits than its factorization.

101022142340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199065 (or 199063 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 101022142340 its reverse (43241220101), we get a palindrome (144263362441).

The spelling of 101022142340 in words is "one hundred one billion, twenty-two million, one hundred forty-two thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 191 266 380 382 532 665 764 955 1330 1337 1910 2660 2674 3629 3820 5348 6685 7258 13370 14516 18145 25403 26740 36290 50806 72580 101612 127015 198839 254030 397678 508060 795356 994195 1391873 1988390 2783746 3777941 3976780 5567492 6959365 7555882 13918730 15111764 18889705 26445587 27837460 37779410 37978249 52891174 75558820 75956498 105782348 132227935 151912996 189891245 264455870 265847743 379782490 528911740 531695486 721586731 759564980 1063390972 1329238715 1443173462 2658477430 2886346924 3607933655 5051107117 5316954860 7215867310 10102214234 14431734620 20204428468 25255535585 50511071170 101022142340