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100441734341 = 13243132110463
BaseRepresentation
bin101110110001011001…
…0110011110011000101
3100121020221211202211212
41131202302303303011
53121201040444331
6114050422541205
710154016440504
oct1354262636305
9317227752755
10100441734341
1139662816703
1217571897805
1396191a4100
144c0b9aa83b
15292cde3d2b
hex1762cb3cc5

100441734341 has 24 divisors (see below), whose sum is σ = 111386601216. Its totient is φ = 90482071680.

The previous prime is 100441734301. The next prime is 100441734383. The reversal of 100441734341 is 143437144001.

It is not a de Polignac number, because 100441734341 - 222 = 100437540037 is a prime.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100441734298 and 100441734307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100441734301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9594476 + ... + 9604938.

It is an arithmetic number, because the mean of its divisors is an integer number (4641108384).

Almost surely, 2100441734341 is an apocalyptic number.

It is an amenable number.

100441734341 is a deficient number, since it is larger than the sum of its proper divisors (10944866875).

100441734341 is a wasteful number, since it uses less digits than its factorization.

100441734341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11853 (or 11840 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

Adding to 100441734341 its reverse (143437144001), we get a palindrome (243878878342).

The spelling of 100441734341 in words is "one hundred billion, four hundred forty-one million, seven hundred thirty-four thousand, three hundred forty-one".

Divisors: 1 13 43 169 559 1321 7267 10463 17173 56803 136019 223249 449909 738439 1768247 5848817 9599707 13821623 76034621 179681099 594329789 2335854287 7726287257 100441734341