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100443264304 = 241723112914221
BaseRepresentation
bin101110110001011100…
…0101001010100110000
3100121021001201111120011
41131202320221110300
53121201433424204
6114050515424304
710154035442155
oct1354270512460
9317231644504
10100443264304
1139663671139
12175722b5094
1396195bb606
144c0bc8822c
15292d0e7304
hex1762e29530

100443264304 has 80 divisors (see below), whose sum is σ = 215220957120. Its totient is φ = 45169090560.

The previous prime is 100443264293. The next prime is 100443264319. The reversal of 100443264304 is 403462344001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7055914 + ... + 7070134.

It is an arithmetic number, because the mean of its divisors is an integer number (2690261964).

Almost surely, 2100443264304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100443264304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107610478560).

100443264304 is an abundant number, since it is smaller than the sum of its proper divisors (114777692816).

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

100443264304 is a wasteful number, since it uses less digits than its factorization.

100443264304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15398 (or 15392 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

The spelling of 100443264304 in words is "one hundred billion, four hundred forty-three million, two hundred sixty-four thousand, three hundred four".

Divisors: 1 2 4 8 16 17 23 34 46 68 92 136 184 272 368 391 782 1129 1564 2258 3128 4516 6256 9032 14221 18064 19193 25967 28442 38386 51934 56884 76772 103868 113768 153544 207736 227536 241757 307088 327083 415472 441439 483514 654166 882878 967028 1308332 1765756 1934056 2616664 3531512 3868112 5233328 5560411 7063024 11120822 16055509 22241644 32111018 44483288 64222036 88966576 128444072 256888144 272943653 369276707 545887306 738553414 1091774612 1477106828 2183549224 2954213656 4367098448 5908427312 6277704019 12555408038 25110816076 50221632152 100443264304