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100613344 = 25131741347
BaseRepresentation
bin1011111111100…
…11110011100000
321000022200120011
411333303303200
5201224111334
613552254304
72331125236
oct577636340
9230280504
10100613344
1151880327
1229841394
1317ac9a30
14d510956
158c76564
hex5ff3ce0

100613344 has 96 divisors (see below), whose sum is σ = 232043616. Its totient is φ = 42516480.

The previous prime is 100613333. The next prime is 100613351. The reversal of 100613344 is 443316001.

It is a congruent number.

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, 289779 + ... + 290125.

It is an arithmetic number, because the mean of its divisors is an integer number (2417121).

Almost surely, 2100613344 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 100613344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116021808).

100613344 is an abundant number, since it is smaller than the sum of its proper divisors (131430272).

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

100613344 is a wasteful number, since it uses less digits than its factorization.

100613344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 100613344 is about 10030.6203198008. The cubic root of 100613344 is about 465.1059133622.

Adding to 100613344 its reverse (443316001), we get a palindrome (543929345).

The spelling of 100613344 in words is "one hundred million, six hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 17 26 32 34 41 52 68 82 104 136 164 208 221 272 328 347 416 442 533 544 656 694 697 884 1066 1312 1388 1394 1768 2132 2776 2788 3536 4264 4511 5552 5576 5899 7072 8528 9022 9061 11104 11152 11798 14227 17056 18044 18122 22304 23596 28454 36088 36244 47192 56908 72176 72488 76687 94384 113816 144352 144976 153374 184951 188768 227632 241859 289952 306748 369902 455264 483718 613496 739804 967436 1226992 1479608 1934872 2453984 2959216 3144167 3869744 5918432 6288334 7739488 12576668 25153336 50306672 100613344