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100774103344 = 24171989219097
BaseRepresentation
bin101110111011010011…
…0101100100100110000
3100122010010020212101221
41131312212230210300
53122341132301334
6114143414434424
710165163513365
oct1356646544460
9318103225357
10100774103344
1139813399432
1217645062a14
13966ccc6265
144c3dba846c
15294c1988b4
hex17769ac930

100774103344 has 80 divisors (see below), whose sum is σ = 220062031200. Its totient is φ = 44422152192.

The previous prime is 100774103333. The next prime is 100774103351. The reversal of 100774103344 is 443301477001.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 350404 + ... + 569500.

It is an arithmetic number, because the mean of its divisors is an integer number (2750775390).

Almost surely, 2100774103344 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 100774103344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110031015600).

100774103344 is an abundant number, since it is smaller than the sum of its proper divisors (119287927856).

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

100774103344 is a wasteful number, since it uses less digits than its factorization.

100774103344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219230 (or 219224 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 34.

The spelling of 100774103344 in words is "one hundred billion, seven hundred seventy-four million, one hundred three thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 17 19 34 38 68 76 89 136 152 178 272 304 323 356 646 712 1292 1424 1513 1691 2584 3026 3382 5168 6052 6764 12104 13528 24208 27056 28747 57494 114988 219097 229976 438194 459952 876388 1752776 3505552 3724649 4162843 7449298 8325686 14898596 16651372 19499633 29797192 33302744 38999266 59594384 66605488 70768331 77998532 141536662 155997064 283073324 311994128 331493761 370493027 566146648 662987522 740986054 1132293296 1325975044 1481972108 2651950088 2963944216 5303900176 5927888432 6298381459 12596762918 25193525836 50387051672 100774103344