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10201242140430 = 235111011631877717
BaseRepresentation
bin1001010001110010100101…
…1010011111111100001110
31100010020012002211012122220
42110130221122133330032
52314114120441443210
633410215210320210
72102005201331055
oct224345132377416
940106162735586
1010201242140430
113283360273760
12118909b429066
1358cc85904a23
14273a5818d39c
1512a557478c70
hex9472969ff0e

10201242140430 has 128 divisors (see below), whose sum is σ = 27138643232256. Its totient is φ = 2433519936000.

The previous prime is 10201242140399. The next prime is 10201242140449. The reversal of 10201242140430 is 3404124210201.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10201242140430.

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, 4493932 + ... + 6371648.

It is an arithmetic number, because the mean of its divisors is an integer number (212020650252).

Almost surely, 210201242140430 is an apocalyptic number.

10201242140430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10201242140430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13569321616128).

10201242140430 is an abundant number, since it is smaller than the sum of its proper divisors (16937401091826).

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

10201242140430 is a wasteful number, since it uses less digits than its factorization.

10201242140430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1878002.

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

Adding to 10201242140430 its reverse (3404124210201), we get a palindrome (13605366350631).

The spelling of 10201242140430 in words is "ten trillion, two hundred one billion, two hundred forty-two million, one hundred forty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 110 163 165 202 303 326 330 489 505 606 815 978 1010 1111 1515 1630 1793 2222 2445 3030 3333 3586 4890 5379 5555 6666 8965 10758 11110 16463 16665 17930 26895 32926 33330 49389 53790 82315 98778 164630 181093 246945 362186 493890 543279 905465 1086558 1810930 1877717 2716395 3755434 5432790 5633151 9388585 11266302 18777170 20654887 28165755 41309774 56331510 61964661 103274435 123929322 189649417 206548870 306067871 309823305 379298834 568948251 612135742 619646610 918203613 948247085 1137896502 1530339355 1836407226 1896494170 2086143587 2844741255 3060678710 3366746581 4172287174 4591018065 5689482510 6258430761 6733493162 9182036130 10100239743 10430717935 12516861522 16833732905 20200479486 20861435870 30912854971 31292153805 33667465810 50501198715 61825709942 62584307610 92738564913 101002397430 154564274855 185477129826 309128549710 340041404681 463692824565 680082809362 927385649130 1020124214043 1700207023405 2040248428086 3400414046810 5100621070215 10201242140430