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103421034432 = 2632428941863
BaseRepresentation
bin110000001010001011…
…1111011111111000000
3100212221120220220020200
41200110113323333000
53143301241100212
6115302211405200
710320604200552
oct1402427737700
9325846826220
10103421034432
113a951528991
12180635b3800
1399a24bb781
1450115454d2
152a547496dc
hex18145fbfc0

103421034432 has 84 divisors (see below), whose sum is σ = 296513920560. Its totient is φ = 34464817152.

The previous prime is 103421034413. The next prime is 103421034433. The reversal of 103421034432 is 234430124301.

103421034432 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 210 + 3 + 443 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 103421034396 and 103421034405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103421034433) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2449533 + ... + 2491395.

Almost surely, 2103421034432 is an apocalyptic number.

103421034432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103421034432 is an abundant number, since it is smaller than the sum of its proper divisors (193092886128).

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

103421034432 is a wasteful number, since it uses less digits than its factorization.

103421034432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46170 (or 46157 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 103421034432 its reverse (234430124301), we get a palindrome (337851158733).

The spelling of 103421034432 in words is "one hundred three billion, four hundred twenty-one million, thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 4289 8578 12867 17156 25734 34312 38601 41863 51468 68624 77202 83726 102936 125589 137248 154404 167452 205872 251178 274496 308808 334904 376767 411744 502356 617616 669808 753534 823488 1004712 1235232 1339616 1507068 2009424 2470464 2679232 3014136 4018848 6028272 8037696 12056544 24113088 179550407 359100814 538651221 718201628 1077302442 1436403256 1615953663 2154604884 2872806512 3231907326 4309209768 5745613024 6463814652 8618419536 11491226048 12927629304 17236839072 25855258608 34473678144 51710517216 103421034432