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10424535220 = 22511611017691
BaseRepresentation
bin10011011010101100…
…11100100010110100
3222220111121020222001
421231112130202310
5132322140111340
64442225545044
7516221041651
oct115526344264
928814536861
1010424535220
11446a418670
12202b1a5184
13ca193c548
1470c6b2c28
154102bb29a
hex26d59c8b4

10424535220 has 96 divisors (see below), whose sum is σ = 24516680832. Its totient is φ = 3691200000.

The previous prime is 10424535161. The next prime is 10424535227. The reversal of 10424535220 is 2253542401.

10424535220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10424535227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1351575 + ... + 1359265.

It is an arithmetic number, because the mean of its divisors is an integer number (255382092).

Almost surely, 210424535220 is an apocalyptic number.

10424535220 is a gapful number since it is divisible by the number (10) 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 10424535220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12258340416).

10424535220 is an abundant number, since it is smaller than the sum of its proper divisors (14092145612).

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

10424535220 is a wasteful number, since it uses less digits than its factorization.

10424535220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7873 (or 7871 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The spelling of 10424535220 in words is "ten billion, four hundred twenty-four million, five hundred thirty-five thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 61 101 110 122 202 220 244 305 404 505 610 671 1010 1111 1220 1342 2020 2222 2684 3355 4444 5555 6161 6710 7691 11110 12322 13420 15382 22220 24644 30764 30805 38455 61610 67771 76910 84601 123220 135542 153820 169202 271084 338404 338855 423005 469151 677710 776791 846010 938302 1355420 1553582 1692020 1876604 2345755 3107164 3883955 4691510 5160661 7767910 8544701 9383020 10321322 15535820 17089402 20642644 25803305 34178804 42723505 47384251 51606610 85447010 94768502 103213220 170894020 189537004 236921255 473842510 521226761 947685020 1042453522 2084907044 2606133805 5212267610 10424535220