Search a number
-
+
101143342320 = 243528111511303
BaseRepresentation
bin101111000110010011…
…1001110110011110000
3100200001212001011001120
41132030213032303300
53124120143423240
6114244204502240
710210266140016
oct1361447166360
9320055034046
10101143342320
1139992864109
121772884a980
1396cb657367
144c76c428b6
15296e7d2ad0
hex178c9cecf0

101143342320 has 160 divisors (see below), whose sum is σ = 315175256064. Its totient is φ = 26831616000.

The previous prime is 101143342271. The next prime is 101143342387. The reversal of 101143342320 is 23243341101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77622789 + ... + 77624091.

Almost surely, 2101143342320 is an apocalyptic number.

101143342320 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 101143342320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157587628032).

101143342320 is an abundant number, since it is smaller than the sum of its proper divisors (214031913744).

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

101143342320 is a wasteful number, since it uses less digits than its factorization.

101143342320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2751 (or 2745 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 101143342320 its reverse (23243341101), we get a palindrome (124386683421).

The spelling of 101143342320 in words is "one hundred one billion, one hundred forty-three million, three hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 281 562 843 1124 1151 1303 1405 1686 2248 2302 2606 2810 3372 3453 3909 4215 4496 4604 5212 5620 5755 6515 6744 6906 7818 8430 9208 10424 11240 11510 13030 13488 13812 15636 16860 17265 18416 19545 20848 22480 23020 26060 27624 31272 33720 34530 39090 46040 52120 55248 62544 67440 69060 78180 92080 104240 138120 156360 276240 312720 323431 366143 646862 732286 970293 1098429 1293724 1464572 1499753 1617155 1830715 1940586 2196858 2587448 2929144 2999506 3234310 3661430 3881172 4393716 4499259 4851465 5174896 5492145 5858288 5999012 6468620 7322860 7498765 7762344 8787432 8998518 9702930 10984290 11998024 12937240 14645720 14997530 15524688 17574864 17997036 19405860 21968580 22496295 23996048 25874480 29291440 29995060 35994072 38811720 43937160 44992590 59990120 71988144 77623440 87874320 89985180 119980240 179970360 359940720 421430593 842861186 1264291779 1685722372 2107152965 2528583558 3371444744 4214305930 5057167116 6321458895 6742889488 8428611860 10114334232 12642917790 16857223720 20228668464 25285835580 33714447440 50571671160 101143342320