Search a number
-
+
101216443030000 = 245475941133283
BaseRepresentation
bin10111000000111001001010…
…001000011101100111110000
3111021101012022221111002222021
4113000321022020131213300
5101231312233403430000
6555134105250321224
730214434546245254
oct2700711210354760
9437335287432867
10101216443030000
112a28371a424061
12b428511b89214
1344628922131ac
141adcc8b074264
15ba7d12d1411a
hex5c0e4a21d9f0

101216443030000 has 100 divisors (see below), whose sum is σ = 245060195766408. Its totient is φ = 40485740320000.

The previous prime is 101216443029991. The next prime is 101216443030009. The reversal of 101216443030000 is 30344612101.

It is an interprime number because it is at equal distance from previous prime (101216443029991) and next prime (101216443030009).

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101216443030009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 759343359 + ... + 759476641.

Almost surely, 2101216443030000 is an apocalyptic number.

101216443030000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101216443030000 is an abundant number, since it is smaller than the sum of its proper divisors (143843752736408).

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

101216443030000 is an equidigital number, since it uses as much as digits as its factorization.

101216443030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209252 (or 209231 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 101216443030000 its reverse (30344612101), we get a palindrome (101246787642101).

The spelling of 101216443030000 in words is "one hundred one trillion, two hundred sixteen billion, four hundred forty-three million, thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 75941 133283 151882 266566 303764 379705 533132 607528 666415 759410 1066264 1215056 1332830 1518820 1898525 2132528 2665660 3037640 3332075 3797050 5331320 6075280 6664150 7594100 9492625 10662640 13328300 15188200 16660375 18985250 26656600 30376400 33320750 37970500 47463125 53313200 66641500 75941000 83301875 94926250 133283000 151882000 166603750 189852500 266566000 333207500 379705000 666415000 759410000 1332830000 10121644303 20243288606 40486577212 50608221515 80973154424 101216443030 161946308848 202432886060 253041107575 404865772120 506082215150 809731544240 1012164430300 1265205537875 2024328860600 2530411075750 4048657721200 5060822151500 6326027689375 10121644303000 12652055378750 20243288606000 25304110757500 50608221515000 101216443030000