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1022012102112 = 25335929654483
BaseRepresentation
bin11101101111101001010…
…10110001010111100000
310121200222210002001221020
432313310222301113200
5113221040044231422
62101301134125440
7133560261350601
oct16676452612740
93550883061836
101022012102112
11364484208021
121460a5950880
13754b5797131
1437673a57da8
151b8b8e8595c
hexedf4ab15e0

1022012102112 has 48 divisors (see below), whose sum is σ = 2690254788480. Its totient is φ = 339721745792.

The previous prime is 1022012102107. The next prime is 1022012102123. The reversal of 1022012102112 is 2112012102201.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10220121021122 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1022012102091 and 1022012102100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14792778 + ... + 14861705.

It is an arithmetic number, because the mean of its divisors is an integer number (56046974760).

Almost surely, 21022012102112 is an apocalyptic number.

1022012102112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1022012102112 is an abundant number, since it is smaller than the sum of its proper divisors (1668242686368).

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

1022012102112 is a wasteful number, since it uses less digits than its factorization.

1022012102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29654855 (or 29654847 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1022012102112 its reverse (2112012102201), we get a palindrome (3134024204313).

The spelling of 1022012102112 in words is "one trillion, twenty-two billion, twelve million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 359 718 1077 1436 2154 2872 4308 5744 8616 11488 17232 34464 29654483 59308966 88963449 118617932 177926898 237235864 355853796 474471728 711707592 948943456 1423415184 2846830368 10645959397 21291918794 31937878191 42583837588 63875756382 85167675176 127751512764 170335350352 255503025528 340670700704 511006051056 1022012102112