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10115041342340 = 22511831367405227
BaseRepresentation
bin1001001100110001011101…
…1100100011001110000100
31022210222200121210221210102
42103030113130203032010
52311211101040423330
633302441424143232
72062534103540654
oct223142734431604
938728617727712
1010115041342340
11324a846159260
121174442a67b18
13584ac8c2a81c
1426d7dba96364
151281ae90b945
hex93317723384

10115041342340 has 96 divisors (see below), whose sum is σ = 23469042207744. Its totient is φ = 3631213976960.

The previous prime is 10115041342333. The next prime is 10115041342361. The reversal of 10115041342340 is 4324314051101.

It is a super-2 number, since 2×101150413423402 (a number of 27 digits) contains 22 as substring.

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, 24758807 + ... + 25164033.

It is an arithmetic number, because the mean of its divisors is an integer number (244469189664).

Almost surely, 210115041342340 is an apocalyptic number.

10115041342340 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 10115041342340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11734521103872).

10115041342340 is an abundant number, since it is smaller than the sum of its proper divisors (13354000865404).

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

10115041342340 is a wasteful number, since it uses less digits than its factorization.

10115041342340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406697 (or 406695 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

Adding to 10115041342340 its reverse (4324314051101), we get a palindrome (14439355393441).

The spelling of 10115041342340 in words is "ten trillion, one hundred fifteen billion, forty-one million, three hundred forty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 83 110 166 220 332 415 830 913 1367 1660 1826 2734 3652 4565 5468 6835 9130 13670 15037 18260 27340 30074 60148 75185 113461 150370 226922 300740 405227 453844 567305 810454 1134610 1248071 1620908 2026135 2269220 2496142 4052270 4457497 4992284 6240355 8104540 8914994 12480710 17829988 22287485 24961420 33633841 44574970 67267682 89149940 134535364 168169205 336338410 369972251 553945309 672676820 739944502 1107890618 1479889004 1849861255 2215781236 2769726545 3699722510 5539453090 6093398399 7399445020 11078906180 12186796798 24373593596 30466991995 45977460647 60933983990 91954921294 121867967980 183909842588 229887303235 459774606470 505752067117 919549212940 1011504134234 2023008268468 2528760335585 5057520671170 10115041342340