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10033113343232 = 28725315091201
BaseRepresentation
bin1001001000000000010000…
…1010000010010100000000
31022112011012220211101020002
42102000010022002110000
52303340304003440412
633201052034535132
72053603621203500
oct222000412022400
938464186741202
1010033113343232
113219023a12991
1211605994374a8
1357a17053ab45
14269868c45a00
15125eb704ddc2
hex92004282500

10033113343232 has 108 divisors (see below), whose sum is σ = 23736317795316. Its totient is φ = 4218775142400.

The previous prime is 10033113343219. The next prime is 10033113343271. The reversal of 10033113343232 is 23234331133001.

It can be written as a sum of positive squares in 2 ways, for example, as 5340240322816 + 4692873020416 = 2310896^2 + 2166304^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10033113343195 and 10033113343204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6880769 + ... + 8210432.

It is an arithmetic number, because the mean of its divisors is an integer number (219780720327).

Almost surely, 210033113343232 is an apocalyptic number.

It is an amenable number.

10033113343232 is an abundant number, since it is smaller than the sum of its proper divisors (13703204452084).

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

10033113343232 is an equidigital number, since it uses as much as digits as its factorization.

10033113343232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15091284 (or 15091263 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 29.

Adding to 10033113343232 its reverse (23234331133001), we get a palindrome (33267444476233).

The spelling of 10033113343232 in words is "ten trillion, thirty-three billion, one hundred thirteen million, three hundred forty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 53 56 64 98 106 112 128 196 212 224 256 371 392 424 448 742 784 848 896 1484 1568 1696 1792 2597 2968 3136 3392 5194 5936 6272 6784 10388 11872 12544 13568 20776 23744 41552 47488 83104 94976 166208 332416 664832 15091201 30182402 60364804 105638407 120729608 211276814 241459216 422553628 482918432 739468849 799833653 845107256 965836864 1478937698 1599667306 1690214512 1931673728 2957875396 3199334612 3380429024 3863347456 5598835571 5915750792 6398669224 6760858048 11197671142 11831501584 12797338448 13521716096 22395342284 23663003168 25594676896 27043432192 39191848997 44790684568 47326006336 51189353792 78383697994 89581369136 94652012672 102378707584 156767395988 179162738272 189304025344 204757415168 313534791976 358325476544 627069583952 716650953088 1254139167904 1433301906176 2508278335808 5016556671616 10033113343232