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1020010101012 = 223275376370927
BaseRepresentation
bin11101101011111010101…
…01101111100100010100
310121111211020221212201100
432311331111233210110
5113202440041213022
62100330340230100
7133456541542650
oct16657525574424
93544736855640
101020010101012
11363647123a61
1214582739b330
1375256a9bcb6
1437523bdba60
151b7ed32a1ac
hexed7d56f914

1020010101012 has 72 divisors (see below), whose sum is σ = 3002293921536. Its totient is φ = 285932746944.

The previous prime is 1020010100981. The next prime is 1020010101079. The reversal of 1020010101012 is 2101010100201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1020010100985 and 1020010101003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38172108 + ... + 38198819.

It is an arithmetic number, because the mean of its divisors is an integer number (41698526688).

Almost surely, 21020010101012 is an apocalyptic number.

1020010101012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1020010101012 is an abundant number, since it is smaller than the sum of its proper divisors (1982283820524).

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

1020010101012 is a wasteful number, since it uses less digits than its factorization.

1020010101012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76370997 (or 76370992 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1020010101012 its reverse (2101010100201), we get a palindrome (3121020201213).

The spelling of 1020010101012 in words is "one trillion, twenty billion, ten million, one hundred one thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 53 63 84 106 126 159 212 252 318 371 477 636 742 954 1113 1484 1908 2226 3339 4452 6678 13356 76370927 152741854 229112781 305483708 458225562 534596489 687338343 916451124 1069192978 1374676686 1603789467 2138385956 2749353372 3207578934 4047659131 4811368401 6415157868 8095318262 9622736802 12142977393 16190636524 19245473604 24285954786 28333613917 36428932179 48571909572 56667227834 72857864358 85000841751 113334455668 145715728716 170001683502 255002525253 340003367004 510005050506 1020010101012