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1020010011012 = 223334927061711
BaseRepresentation
bin11101101011111010101…
…01011001100110000100
310121111211020210022021000
432311331111121212010
5113202440030323022
62100330334253300
7133456541016366
oct16657525314604
93544736708230
101020010011012
11363647072383
12145827357230
1375256a6a045
1437523bb6d36
151b7ed30d6ac
hexed7d559984

1020010011012 has 48 divisors (see below), whose sum is σ = 2652047776000. Its totient is φ = 339029102880.

The previous prime is 1020010010963. The next prime is 1020010011023. The reversal of 1020010011012 is 2101100100201.

It is a happy number.

It is a super-2 number, since 2×10200100110122 (a number of 25 digits) contains 22 as substring.

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 = 1020010010985 and 1020010011003.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13493164 + ... + 13568547.

Almost surely, 21020010011012 is an apocalyptic number.

1020010011012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1020010011012 is an abundant number, since it is smaller than the sum of its proper divisors (1632037764988).

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

1020010011012 is a wasteful number, since it uses less digits than its factorization.

1020010011012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27062073 (or 27062065 counting only the distinct ones).

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

Adding to 1020010011012 its reverse (2101100100201), we get a palindrome (3121110111213).

The spelling of 1020010011012 in words is "one trillion, twenty billion, ten million, eleven thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 349 698 1047 1396 2094 3141 4188 6282 9423 12564 18846 37692 27061711 54123422 81185133 108246844 162370266 243555399 324740532 487110798 730666197 974221596 1461332394 2922664788 9444537139 18889074278 28333611417 37778148556 56667222834 85000834251 113334445668 170001668502 255002502753 340003337004 510005005506 1020010011012