Search a number
-
+
1010130014142 = 23373974336101
BaseRepresentation
bin11101011001100000111…
…00001100111110111110
310120120022200211110111000
432230300130030332332
5113022221240423032
62052014115511130
7132656651310654
oct16546034147676
93516280743430
101010130014142
1135a437071507
1214392a5b84a6
1374340ba8052
1436c67970dd4
151b420c56e7c
hexeb3070cfbe

1010130014142 has 128 divisors (see below), whose sum is σ = 2304628744320. Its totient is φ = 327861043200.

The previous prime is 1010130014083. The next prime is 1010130014161. The reversal of 1010130014142 is 2414100310101.

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

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 165564892 + ... + 165570992.

It is an arithmetic number, because the mean of its divisors is an integer number (18004912065).

Almost surely, 21010130014142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010130014142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152314372160).

1010130014142 is an abundant number, since it is smaller than the sum of its proper divisors (1294498730178).

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

1010130014142 is a wasteful number, since it uses less digits than its factorization.

1010130014142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6715 (or 6709 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1010130014142 its reverse (2414100310101), we get a palindrome (3424230324243).

The spelling of 1010130014142 in words is "one trillion, ten billion, one hundred thirty million, fourteen thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 73 97 146 194 219 291 433 438 582 657 866 873 1299 1314 1746 1971 2598 2619 3897 3942 5238 6101 7081 7794 11691 12202 14162 18303 21243 23382 31609 36606 42001 42486 54909 63218 63729 84002 94827 109818 126003 127458 164727 189654 191187 252006 284481 329454 378009 382374 445373 568962 591797 756018 853443 890746 1134027 1183594 1336119 1706886 1775391 2268054 2641733 2672238 3066073 3550782 4008357 5283466 5326173 6132146 7925199 8016714 9198219 10652346 12025071 15850398 15978519 18396438 23775597 24050142 27594657 31957038 43201181 47551194 55189314 71326791 82783971 86402362 129603543 142653582 165567942 192846509 256248101 259207086 385693018 388810629 512496202 578539527 768744303 777621258 1157079054 1166431887 1537488606 1735618581 2306232909 2332863774 3471237162 4612465818 5206855743 6918698727 10413711486 13837397454 18706111373 37412222746 56118334119 112236668238 168355002357 336710004714 505065007071 1010130014142