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10212423424 = 2878117027
BaseRepresentation
bin10011000001011010…
…10011011100000000
3222100201110212021121
421200231103130000
5131403340022144
64405211402024
7511034111140
oct114055233400
928321425247
1010212423424
114370712965
121b90153314
13c69a043c8
146cc45a920
153eb86d384
hex260b53700

10212423424 has 72 divisors (see below), whose sum is σ = 23329136768. Its totient is φ = 4370734080.

The previous prime is 10212423409. The next prime is 10212423439. The reversal of 10212423424 is 42432421201.

It is an interprime number because it is at equal distance from previous prime (10212423409) and next prime (10212423439).

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, 1449799 + ... + 1456825.

Almost surely, 210212423424 is an apocalyptic number.

10212423424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10212423424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11664568384).

10212423424 is an abundant number, since it is smaller than the sum of its proper divisors (13116713344).

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

10212423424 is an frugal number, since it uses more digits than its factorization.

10212423424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7861 (or 7847 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 10212423424 its reverse (42432421201), we get a palindrome (52644844625).

The spelling of 10212423424 in words is "ten billion, two hundred twelve million, four hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 811 896 1622 1792 3244 5677 6488 7027 11354 12976 14054 22708 25952 28108 45416 49189 51904 56216 90832 98378 103808 112432 181664 196756 207616 224864 363328 393512 449728 726656 787024 899456 1453312 1574048 1798912 3148096 5698897 6296192 11397794 12592384 22795588 39892279 45591176 79784558 91182352 159569116 182364704 319138232 364729408 638276464 729458816 1276552928 1458917632 2553105856 5106211712 10212423424