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101142434403340 = 225111134068480869
BaseRepresentation
bin10110111111110100001110…
…110111111101010000001100
3111021010010022011012100002121
4112333310032313331100030
5101224104201201401330
6555040105400502324
730206204545302361
oct2677641667752014
9437103264170077
10101142434403340
112a2552a14964a0
12b4160b877a9a4
1344588c9446705
141ad9469d00468
15ba5e3082717a
hex5bfd0edfd40c

101142434403340 has 48 divisors (see below), whose sum is σ = 233758636866720. Its totient is φ = 36453588577280.

The previous prime is 101142434403301. The next prime is 101142434403377. The reversal of 101142434403340 is 43304434241101.

It is a junction number, because it is equal to n+sod(n) for n = 101142434403296 and 101142434403305.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2034215575 + ... + 2034265294.

It is an arithmetic number, because the mean of its divisors is an integer number (4869971601390).

Almost surely, 2101142434403340 is an apocalyptic number.

101142434403340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101142434403340 is an abundant number, since it is smaller than the sum of its proper divisors (132616202463380).

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

101142434403340 is a wasteful number, since it uses less digits than its factorization.

101142434403340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4068481002 (or 4068481000 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 101142434403340 its reverse (43304434241101), we get a palindrome (144446868644441).

The spelling of 101142434403340 in words is "one hundred one trillion, one hundred forty-two billion, four hundred thirty-four million, four hundred three thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 113 220 226 452 565 1130 1243 2260 2486 4972 6215 12430 24860 4068480869 8136961738 16273923476 20342404345 40684808690 44753289559 81369617380 89506579118 179013158236 223766447795 447532895590 459738338197 895065791180 919476676394 1838953352788 2298691690985 4597383381970 5057121720167 9194766763940 10114243440334 20228486880668 25285608600835 50571217201670 101142434403340