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103371313536 = 27361107803
BaseRepresentation
bin110000001000101101…
…0010001000110000000
3100212211010100211000000
41200101122101012000
53143201024013121
6115253234000000
710316431444641
oct1402132210600
9325733324000
10103371313536
113a926458937
121804aa16000
13999510041a
145008ac16c8
152a501c7526
hex1811691180

103371313536 has 112 divisors (see below), whose sum is σ = 308761591860. Its totient is φ = 34457073408.

The previous prime is 103371313523. The next prime is 103371313583. The reversal of 103371313536 is 635313173301.

103371313536 is a `hidden beast` number, since 1 + 0 + 337 + 1 + 313 + 5 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 103371313536.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 460590 + ... + 647213.

Almost surely, 2103371313536 is an apocalyptic number.

103371313536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

103371313536 is an abundant number, since it is smaller than the sum of its proper divisors (205390278324).

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

103371313536 is an frugal number, since it uses more digits than its factorization.

103371313536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107835 (or 1107808 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 36.

Adding to 103371313536 its reverse (635313173301), we get a palindrome (738684486837).

The spelling of 103371313536 in words is "one hundred three billion, three hundred seventy-one million, three hundred thirteen thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 729 864 972 1152 1296 1458 1728 1944 2592 2916 3456 3888 5184 5832 7776 10368 11664 15552 23328 31104 46656 93312 1107803 2215606 3323409 4431212 6646818 8862424 9970227 13293636 17724848 19940454 26587272 29910681 35449696 39880908 53174544 59821362 70899392 79761816 89732043 106349088 119642724 141798784 159523632 179464086 212698176 239285448 269196129 319047264 358928172 425396352 478570896 538392258 638094528 717856344 807588387 957141792 1076784516 1276189056 1435712688 1615176774 1914283584 2153569032 2871425376 3230353548 3828567168 4307138064 5742850752 6460707096 8614276128 11485701504 12921414192 17228552256 25842828384 34457104512 51685656768 103371313536