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10203114432 = 26377591603
BaseRepresentation
bin10011000000010011…
…10010101111000000
3222100001221220202010
421200021302233000
5131343444130212
64404240052520
7510562020210
oct114011625700
928301856663
1010203114432
114366434985
121b89004140
13c67ac5224
146cb116240
153eab3003c
hex260272bc0

10203114432 has 56 divisors (see below), whose sum is σ = 30852278656. Its totient is φ = 2915175168.

The previous prime is 10203114421. The next prime is 10203114511. The reversal of 10203114432 is 23441130201.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×102031144322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 10203114399 and 10203114408.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3794458 + ... + 3797145.

Almost surely, 210203114432 is an apocalyptic number.

10203114432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10203114432 is an abundant number, since it is smaller than the sum of its proper divisors (20649164224).

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

10203114432 is an equidigital number, since it uses as much as digits as its factorization.

10203114432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7591625 (or 7591615 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10203114432 its reverse (23441130201), we get a palindrome (33644244633).

The spelling of 10203114432 in words is "ten billion, two hundred three million, one hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 7591603 15183206 22774809 30366412 45549618 53141221 60732824 91099236 106282442 121465648 159423663 182198472 212564884 242931296 318847326 364396944 425129768 485862592 637694652 728793888 850259536 1275389304 1457587776 1700519072 2550778608 3401038144 5101557216 10203114432