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10124241333402 = 23737101599107687
BaseRepresentation
bin1001001101010011101111…
…0011101110110010011010
31022211212102210012220222010
42103110323303232302122
52311333421240132102
633311002352010350
72063311065301230
oct223247363566232
938755383186863
1010124241333402
113253737326759
12117618bb309b6
13585933c61011
1427003188a950
1512854c43ed6c
hex9353bceec9a

10124241333402 has 128 divisors (see below), whose sum is σ = 24042164428800. Its totient is φ = 2781917049600.

The previous prime is 10124241333391. The next prime is 10124241333407. The reversal of 10124241333402 is 20433314242101.

It is a self number, because there is not a number n which added to its sum of digits gives 10124241333402.

It is not an unprimeable number, because it can be changed into a prime (10124241333407) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 93961603 + ... + 94069289.

It is an arithmetic number, because the mean of its divisors is an integer number (187829409600).

Almost surely, 210124241333402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10124241333402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12021082214400).

10124241333402 is an abundant number, since it is smaller than the sum of its proper divisors (13917923095398).

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

10124241333402 is a wasteful number, since it uses less digits than its factorization.

10124241333402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108436.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 10124241333402 its reverse (20433314242101), we get a palindrome (30557555575503).

The spelling of 10124241333402 in words is "ten trillion, one hundred twenty-four billion, two hundred forty-one million, three hundred thirty-three thousand, four hundred two".

Divisors: 1 2 3 6 7 14 21 37 42 74 101 111 202 222 259 303 518 599 606 707 777 1198 1414 1554 1797 2121 3594 3737 4193 4242 7474 8386 11211 12579 22163 22422 25158 26159 44326 52318 60499 66489 78477 107687 120998 132978 155141 156954 181497 215374 310282 323061 362994 423493 465423 646122 753809 846986 930846 1270479 1507618 2238463 2261427 2540958 3984419 4476926 4522854 6715389 7968838 10876387 11953257 13430778 15669241 21752774 23906514 27890933 31338482 32629161 47007723 55781866 64504513 65258322 76134709 83672799 94015446 129009026 152269418 167345598 193513539 228404127 387027078 402426319 451531591 456808254 804852638 903063182 1207278957 1354594773 2386666981 2414557914 2709189546 2816984233 4773333962 5633968466 6514955813 7160000943 8450952699 13029911626 14320001886 16706668867 16901905398 19544867439 33413337734 39089734878 45604690691 50120006601 91209381382 100240013202 136814072073 241053365081 273628144146 482106730162 723160095243 1446320190486 1687373555567 3374747111134 5062120666701 10124241333402