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10300103142432 = 2531011062304367
BaseRepresentation
bin1001010111100010110111…
…1111010010110000100000
31100110200100220020110101120
42111320231333102300200
52322224102401024212
633523445124532240
72112105105100515
oct225705577226040
940420326213346
1010300103142432
1133112817787a4
1211a428b851080
135993ac45b04c
14278755c3d30c
1512cde16c788c
hex95e2dfd2c20

10300103142432 has 48 divisors (see below), whose sum is σ = 27305471475072. Its totient is φ = 3399373971200.

The previous prime is 10300103142409. The next prime is 10300103142467. The reversal of 10300103142432 is 23424130100301.

It is a happy number.

10300103142432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×103001031424322 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 531142488 + ... + 531161879.

It is an arithmetic number, because the mean of its divisors is an integer number (568863989064).

Almost surely, 210300103142432 is an apocalyptic number.

10300103142432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10300103142432 is an abundant number, since it is smaller than the sum of its proper divisors (17005368332640).

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

10300103142432 is a wasteful number, since it uses less digits than its factorization.

10300103142432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062304481 (or 1062304473 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10300103142432 its reverse (23424130100301), we get a palindrome (33724233242733).

The spelling of 10300103142432 in words is "ten trillion, three hundred billion, one hundred three million, one hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 101 202 303 404 606 808 1212 1616 2424 3232 4848 9696 1062304367 2124608734 3186913101 4249217468 6373826202 8498434936 12747652404 16996869872 25495304808 33993739744 50990609616 101981219232 107292741067 214585482134 321878223201 429170964268 643756446402 858341928536 1287512892804 1716683857072 2575025785608 3433367714144 5150051571216 10300103142432