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1010022102012 = 2237113113514783
BaseRepresentation
bin11101011001010100000…
…00100011001111111100
310120120001011202221212110
432230222000203033330
5113022011124231022
62051555302534020
7132654201133230
oct16545200431774
93516034687773
101010022102012
1135a391166530
121438ba437310
1374324724111
1436c574c05c0
151b41653d00c
hexeb2a0233fc

1010022102012 has 96 divisors (see below), whose sum is σ = 2947694690304. Its totient is φ = 261499780800.

The previous prime is 1010022101993. The next prime is 1010022102079. The reversal of 1010022102012 is 2102012200101.

1010022102012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1470028 + ... + 2044755.

It is an arithmetic number, because the mean of its divisors is an integer number (30705153024).

Almost surely, 21010022102012 is an apocalyptic number.

1010022102012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1010022102012 is an abundant number, since it is smaller than the sum of its proper divisors (1937672588292).

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

1010022102012 is a wasteful number, since it uses less digits than its factorization.

1010022102012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3515119 (or 3515117 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1010022102012 its reverse (2102012200101), we get a palindrome (3112034302113).

The spelling of 1010022102012 in words is "one trillion, ten billion, twenty-two million, one hundred two thousand, twelve".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 311 462 622 924 933 1244 1866 2177 3421 3732 4354 6531 6842 8708 10263 13062 13684 20526 23947 26124 41052 47894 71841 95788 143682 287364 3514783 7029566 10544349 14059132 21088698 24603481 38662613 42177396 49206962 73810443 77325226 98413924 115987839 147620886 154650452 231975678 270638291 295241772 463951356 541276582 811914873 1082553164 1093097513 1623829746 2186195026 3247659492 3279292539 4372390052 6558585078 7651682591 12024072643 13117170156 15303365182 22955047773 24048145286 30606730364 36072217929 45910095546 48096290572 72144435858 84168508501 91820191092 144288871716 168337017002 252505525503 336674034004 505011051006 1010022102012