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401213030121024 = 26311626833030619
BaseRepresentation
bin101101100111001101011000…
…0001000111011111001000000
31221121120120221220102221212020
41123032122300020323321000
5410041433241202333044
63541150415504201440
7150336453622554402
oct13316326010737100
91847516856387766
10401213030121024
111069255439a0550
1238bb9934009280
13142b42c3522534
147110b584dcb72
15315b711c1aa19
hex16ce6b023be40

401213030121024 has 112 divisors (see below), whose sum is σ = 1158065557351680. Its totient is φ = 121577726384640.

The previous prime is 401213030121011. The next prime is 401213030121133. The reversal of 401213030121024 is 420121030312104.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 401213030120985 and 401213030121003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130871187 + ... + 133901805.

Almost surely, 2401213030121024 is an apocalyptic number.

401213030121024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

401213030121024 is an abundant number, since it is smaller than the sum of its proper divisors (756852527230656).

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

401213030121024 is a wasteful number, since it uses less digits than its factorization.

401213030121024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3093328 (or 3093318 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 401213030121024 its reverse (420121030312104), we get a palindrome (821334060433128).

The spelling of 401213030121024 in words is "four hundred one trillion, two hundred thirteen billion, thirty million, one hundred twenty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 62683 125366 188049 250732 376098 501464 689513 752196 1002928 1379026 1504392 2005856 2068539 2758052 3008784 3030619 4011712 4137078 5516104 6017568 6061238 8274156 9091857 11032208 12035136 12122476 16548312 18183714 22064416 24244952 33096624 33336809 36367428 44128832 48489904 66193248 66673618 72734856 96979808 100010427 132386496 133347236 145469712 193959616 200020854 266694472 290939424 400041708 533388944 581878848 800083416 1066777888 1600166832 2133555776 3200333664 6400667328 189968290777 379936581554 569904872331 759873163108 1139809744662 1519746326216 2089651198547 2279619489324 3039492652432 4179302397094 4559238978648 6078985304864 6268953595641 8358604794188 9118477957296 12157970609728 12537907191282 16717209588376 18236955914592 25075814382564 33434419176752 36473911829184 50151628765128 66868838353504 100303257530256 133737676707008 200606515060512 401213030121024