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10120422304014 = 23111096179412423
BaseRepresentation
bin1001001101000101100000…
…1011010010100100001110
31022211111120122001010112020
42103101120023102210032
52311303111102212024
633305131404551010
72063114333134611
oct223213013224416
938744518033466
1010120422304014
113252057608420
1211754a4b52466
13585475993209
1426db8c5a4178
151283c7015979
hex934582d290e

10120422304014 has 128 divisors (see below), whose sum is σ = 22352554920960. Its totient is φ = 3029259340800.

The previous prime is 10120422304007. The next prime is 10120422304051. The reversal of 10120422304014 is 41040322402101.

It is a super-2 number, since 2×101204223040142 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4176813607 + ... + 4176816029.

It is an arithmetic number, because the mean of its divisors is an integer number (174629335320).

Almost surely, 210120422304014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10120422304014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11176277460480).

10120422304014 is an abundant number, since it is smaller than the sum of its proper divisors (12232132616946).

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

10120422304014 is a wasteful number, since it uses less digits than its factorization.

10120422304014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4106.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10120422304014 its reverse (41040322402101), we get a palindrome (51160744706115).

The spelling of 10120422304014 in words is "ten trillion, one hundred twenty billion, four hundred twenty-two million, three hundred four thousand, fourteen".

Divisors: 1 2 3 6 11 22 33 66 109 218 327 617 654 941 1199 1234 1851 1882 2398 2423 2823 3597 3702 4846 5646 6787 7194 7269 10351 13574 14538 20361 20702 26653 31053 40722 53306 62106 67253 79959 102569 134506 159918 201759 205138 264107 307707 403518 528214 580597 615414 739783 792321 1128259 1161194 1479566 1494991 1584642 1741791 2219349 2256518 2280043 2905177 2989982 3384777 3483582 4438698 4484973 4560086 5810354 6386567 6769554 6840129 8715531 8969946 12773134 13680258 16444901 17431062 19159701 25080473 32889802 38319402 49334703 50160946 63285073 75241419 98669406 126570146 150482838 162954019 189855219 248524687 325908038 379710438 488862057 497049374 696135803 745574061 977724114 1392271606 1406786531 1491148122 1792494209 2088407409 2733771557 2813573062 3584988418 4176814818 4220359593 5377482627 5467543114 8201314671 8440719186 10754965254 15474651841 16402629342 30949303682 46423955523 92847911046 153339731879 306679463758 460019195637 920038391274 1686737050669 3373474101338 5060211152007 10120422304014