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103309088306832 = 24322947526356731
BaseRepresentation
bin10111011111010110000101…
…100000101011011010010000
3111112210020210222202122200200
4113133112011200223122100
5102020104003101304312
61003415312345215200
730521556341514252
oct2737260540533220
9445706728678620
10103309088306832
112aa101580a5631
12b705bb0791500
13458500b6330a5
141b72287c8bcd2
15be248e4e40dc
hex5df58582b690

103309088306832 has 120 divisors (see below), whose sum is σ = 305455338714240. Its totient is φ = 32541478475520.

The previous prime is 103309088306791. The next prime is 103309088306839. The reversal of 103309088306832 is 238603880903301.

It is not an unprimeable number, because it can be changed into a prime (103309088306839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 262982094 + ... + 263374637.

It is an arithmetic number, because the mean of its divisors is an integer number (2545461155952).

Almost surely, 2103309088306832 is an apocalyptic number.

103309088306832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103309088306832 is an abundant number, since it is smaller than the sum of its proper divisors (202146250407408).

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

103309088306832 is a wasteful number, since it uses less digits than its factorization.

103309088306832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526356821 (or 526356812 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 103309088306832 in words is "one hundred three trillion, three hundred nine billion, eighty-eight million, three hundred six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 47 48 58 72 87 94 116 141 144 174 188 232 261 282 348 376 423 464 522 564 696 752 846 1044 1128 1363 1392 1692 2088 2256 2726 3384 4089 4176 5452 6768 8178 10904 12267 16356 21808 24534 32712 49068 65424 98136 196272 526356731 1052713462 1579070193 2105426924 3158140386 4210853848 4737210579 6316280772 8421707696 9474421158 12632561544 15264345199 18948842316 24738766357 25265123088 30528690398 37897684632 45793035597 49477532714 61057380796 74216299071 75795369264 91586071194 98955065428 122114761592 137379106791 148432598142 183172142388 197910130856 222648897213 244229523184 274758213582 296865196284 366344284776 395820261712 445297794426 549516427164 593730392568 717424224353 732688569552 890595588852 1099032854328 1187460785136 1434848448706 1781191177704 2152272673059 2198065708656 2869696897412 3562382355408 4304545346118 5739393794824 6456818019177 8609090692236 11478787589648 12913636038354 17218181384472 25827272076708 34436362768944 51654544153416 103309088306832