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1011431114430 = 2351122647105263
BaseRepresentation
bin11101011011111011111…
…11100000011010111110
310120200200101002012112120
432231331333200122332
5113032402331130210
62052351154543410
7133034130423162
oct16557577403276
93520611065476
101011431114430
1135aa44550400
12144032297b66
13744ba609a89
1436d4c69aca2
151b49a0b3270
hexeb7dfe06be

1011431114430 has 96 divisors (see below), whose sum is σ = 2669205353472. Its totient is φ = 245100461760.

The previous prime is 1011431114423. The next prime is 1011431114437. The reversal of 1011431114430 is 344111341101.

It is an interprime number because it is at equal distance from previous prime (1011431114423) and next prime (1011431114437).

It is a super-2 number, since 2×10114311144302 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1011431114430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011431114437) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9555979 + ... + 9661241.

It is an arithmetic number, because the mean of its divisors is an integer number (27804222432).

Almost surely, 21011431114430 is an apocalyptic number.

1011431114430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011431114430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334602676736).

1011431114430 is an abundant number, since it is smaller than the sum of its proper divisors (1657774239042).

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

1011431114430 is a wasteful number, since it uses less digits than its factorization.

1011431114430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107942 (or 107931 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 1011431114430 its reverse (344111341101), we get a palindrome (1355542455531).

The spelling of 1011431114430 in words is "one trillion, eleven billion, four hundred thirty-one million, one hundred fourteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 242 330 363 605 726 1210 1815 2647 3630 5294 7941 13235 15882 26470 29117 39705 58234 79410 87351 105263 145585 174702 210526 291170 315789 320287 436755 526315 631578 640574 873510 960861 1052630 1157893 1578945 1601435 1921722 2315786 3157890 3202870 3473679 4804305 5789465 6947358 9608610 11578930 12736823 17368395 25473646 34736790 38210469 63684115 76420938 127368230 191052345 278631161 382104690 557262322 835893483 1393155805 1671786966 2786311610 3064942771 4179467415 6129885542 8358934830 9194828313 15324713855 18389656626 30649427710 33714370481 45974141565 67428740962 91948283130 101143111443 168571852405 202286222886 337143704810 505715557215 1011431114430