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103109577984 = 283276393203
BaseRepresentation
bin110000000000111001…
…1110100110100000000
3100212010212212021022200
41200001303310310000
53142132022443414
6115211244033200
710310102644350
oct1400163646400
9325125767280
10103109577984
113a80173a066
1217b97232800
139952b0c20a
144dc202cb60
152a37226109
hex1801cf4d00

103109577984 has 108 divisors (see below), whose sum is σ = 339760433376. Its totient is φ = 29459874816.

The previous prime is 103109577983. The next prime is 103109578021. The reversal of 103109577984 is 489775901301.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 103109577984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103109577983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3180474 + ... + 3212729.

Almost surely, 2103109577984 is an apocalyptic number.

103109577984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

103109577984 is an abundant number, since it is smaller than the sum of its proper divisors (236650855392).

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

103109577984 is an equidigital number, since it uses as much as digits as its factorization.

103109577984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6393232 (or 6393215 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 103109577984 in words is "one hundred three billion, one hundred nine million, five hundred seventy-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 576 672 768 896 1008 1152 1344 1792 2016 2304 2688 4032 5376 8064 16128 6393203 12786406 19179609 25572812 38359218 44752421 51145624 57538827 76718436 89504842 102291248 115077654 134257263 153436872 179009684 204582496 230155308 268514526 306873744 358019368 402771789 409164992 460310616 537029052 613747488 716038736 805543578 818329984 920621232 1074058104 1227494976 1432077472 1611087156 1636659968 1841242464 2148116208 2454989952 2864154944 3222174312 3682484928 4296232416 4909979904 5728309888 6444348624 7364969856 8592464832 11456619776 12888697248 14729939712 17184929664 25777394496 34369859328 51554788992 103109577984