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10133344520 = 2351391121391
BaseRepresentation
bin10010110111111111…
…01001000100001000
3222011012200020102022
421123333221010020
5131223114011040
64353304424012
7506054002325
oct113377510410
928135606368
1010133344520
1143300107a2
121b69778008
13c56507360
146c1b53b4c
153e494c6b5
hex25bfe9108

10133344520 has 64 divisors (see below), whose sum is σ = 24581975040. Its totient is φ = 3737260800.

The previous prime is 10133344519. The next prime is 10133344579. The reversal of 10133344520 is 2544333101.

10133344520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101333445202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 10133344520.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 463025 + ... + 484415.

It is an arithmetic number, because the mean of its divisors is an integer number (384093360).

Almost surely, 210133344520 is an apocalyptic number.

10133344520 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 10133344520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12290987520).

10133344520 is an abundant number, since it is smaller than the sum of its proper divisors (14448630520).

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

10133344520 is a wasteful number, since it uses less digits than its factorization.

10133344520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22326 (or 22322 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 10133344520 its reverse (2544333101), we get a palindrome (12677677621).

The spelling of 10133344520 in words is "ten billion, one hundred thirty-three million, three hundred forty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 911 1822 3644 4555 7288 9110 11843 18220 21391 23686 36440 42782 47372 59215 85564 94744 106955 118430 171128 213910 236860 278083 427820 473720 556166 855640 1112332 1390415 2224664 2780830 5561660 11123320 19487201 38974402 77948804 97436005 155897608 194872010 253333613 389744020 506667226 779488040 1013334452 1266668065 2026668904 2533336130 5066672260 10133344520