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10141535320 = 235741883409
BaseRepresentation
bin10010111000111101…
…11000110001011000
3222011210002101002021
421130132320301120
5131232213112240
64354200144224
7506213425240
oct113436706130
928153071067
1010141535320
1143346a5654
121b70468074
13c58114597
146c2c86b20
153e551954a
hex25c7b8c58

10141535320 has 64 divisors (see below), whose sum is σ = 26714318400. Its totient is φ = 3392286720.

The previous prime is 10141535303. The next prime is 10141535353. The reversal of 10141535320 is 2353514101.

It is a happy number.

10141535320 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 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, 430225 + ... + 453184.

It is an arithmetic number, because the mean of its divisors is an integer number (417411225).

Almost surely, 210141535320 is an apocalyptic number.

10141535320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10141535320 is an abundant number, since it is smaller than the sum of its proper divisors (16572783080).

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

10141535320 is a wasteful number, since it uses less digits than its factorization.

10141535320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883468 (or 883464 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The spelling of 10141535320 in words is "ten billion, one hundred forty-one million, five hundred thirty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 41 56 70 82 140 164 205 280 287 328 410 574 820 1148 1435 1640 2296 2870 5740 11480 883409 1766818 3533636 4417045 6183863 7067272 8834090 12367726 17668180 24735452 30919315 35336360 36219769 49470904 61838630 72439538 123677260 144879076 181098845 247354520 253538383 289758152 362197690 507076766 724395380 1014153532 1267691915 1448790760 2028307064 2535383830 5070767660 10141535320