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10000101403242 = 23316717330720879
BaseRepresentation
bin1001000110000101010001…
…1111011110101001101010
31022102000000021001001221000
42101201110133132221222
52302320201424400432
633133552210255430
72051324556302466
oct221412437365152
938360007031830
1010000101403242
1132060235a3855
121156105887576
1357700c170942
142680167a74a6
151251d3cc357c
hex918547dea6a

10000101403242 has 128 divisors (see below), whose sum is σ = 22559059353600. Its totient is φ = 3283366477248.

The previous prime is 10000101403219. The next prime is 10000101403249. The reversal of 10000101403242 is 24230410100001.

10000101403242 is a `hidden beast` number, since 10 + 0 + 0 + 0 + 10 + 1 + 403 + 242 = 666.

10000101403242 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100001014032422 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10000101403249) 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, 478944559 + ... + 478965437.

It is an arithmetic number, because the mean of its divisors is an integer number (176242651200).

Almost surely, 210000101403242 is an apocalyptic number.

10000101403242 is an abundant number, since it is smaller than the sum of its proper divisors (12558957950358).

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

10000101403242 is a wasteful number, since it uses less digits than its factorization.

10000101403242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21537 (or 21531 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10000101403242 its reverse (24230410100001), we get a palindrome (34230511503243).

The spelling of 10000101403242 in words is "ten trillion, one hundred one million, four hundred three thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 167 173 307 334 346 501 519 614 921 1002 1038 1503 1557 1842 2763 3006 3114 4509 4671 5526 8289 9018 9342 16578 20879 28891 41758 51269 53111 57782 62637 86673 102538 106222 125274 153807 159333 173346 187911 260019 307614 318666 375822 461421 477999 520038 563733 780057 922842 955998 1127466 1384263 1433997 1560114 2768526 2867994 3486793 3612067 6409853 6973586 7224134 8869537 10460379 10836201 12819706 17739074 19229559 20920758 21672402 26608611 31381137 32508603 38459118 53217222 57688677 62762274 65017206 79825833 94143411 97525809 115377354 159651666 173066031 188286822 195051618 239477499 346132062 478954998 603215189 1070445451 1108904569 1206430378 1809645567 2140890902 2217809138 3211336353 3326713707 3619291134 5428936701 6422672706 6653427414 9634009059 9980141121 10857873402 16286810103 19268018118 19960282242 28902027177 29940423363 32573620206 57804054354 59880846726 185187063023 370374126046 555561189069 1111122378138 1666683567207 3333367134414 5000050701621 10000101403242