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102540441604532 = 222915746112213401
BaseRepresentation
bin10111010100001010001110…
…100110001101000110110100
3111110001202210200101110112012
4113110022032212031012310
5101420010311022321112
61002030232322543352
730412205506402361
oct2724121646150664
9443052720343465
10102540441604532
112a744180075518
12b601036507b58
13452a6a3227b99
141b46dab9a7468
15bcc4a3a48022
hex5d428e98d1b4

102540441604532 has 48 divisors (see below), whose sum is σ = 187221193402320. Its totient is φ = 49080280704000.

The previous prime is 102540441604493. The next prime is 102540441604537. The reversal of 102540441604532 is 235406144045201.

It can be written as a sum of positive squares in 8 ways, for example, as 1158822108196 + 101381619496336 = 1076486^2 + 10068844^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 102540441604532.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102540441604537) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2289032 + ... + 14502432.

It is an arithmetic number, because the mean of its divisors is an integer number (3900441529215).

Almost surely, 2102540441604532 is an apocalyptic number.

It is an amenable number.

102540441604532 is a deficient number, since it is larger than the sum of its proper divisors (84680751797788).

102540441604532 is a wasteful number, since it uses less digits than its factorization.

102540441604532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12214052 (or 12214050 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 41.

Adding to 102540441604532 its reverse (235406144045201), we get a palindrome (337946585649733).

The spelling of 102540441604532 in words is "one hundred two trillion, five hundred forty billion, four hundred forty-one million, six hundred four thousand, five hundred thirty-two".

Divisors: 1 2 4 29 58 116 157 314 461 628 922 1844 4553 9106 13369 18212 26738 53476 72377 144754 289508 2098933 4197866 8395732 12213401 24426802 48853604 354188629 708377258 1416754516 1917503957 3835007914 5630377861 7670015828 11260755722 22521511444 55607614753 111215229506 163280957969 222430459012 326561915938 653123831876 883969324177 1767938648354 3535877296708 25635110401133 51270220802266 102540441604532