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1022011100112 = 243532711482413
BaseRepresentation
bin11101101111101001001…
…10111100101111010000
310121200222201012011110010
432313310212330233100
5113221034320200422
62101301100434520
7133560250005402
oct16676446745720
93550881164403
101022011100112
11364483693222
121460a5548a40
13754b5506032
1437673876b72
151b8b8d38b0c
hexedf49bcbd0

1022011100112 has 80 divisors (see below), whose sum is σ = 2699938407168. Its totient is φ = 333009031680.

The previous prime is 1022011100107. The next prime is 1022011100141. The reversal of 1022011100112 is 2110011102201.

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 15 ways as a sum of consecutive naturals, for example, 51783 + ... + 1430630.

Almost surely, 21022011100112 is an apocalyptic number.

1022011100112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022011100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349969203584).

1022011100112 is an abundant number, since it is smaller than the sum of its proper divisors (1677927307056).

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

1022011100112 is a wasteful number, since it uses less digits than its factorization.

1022011100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1482748 (or 1482742 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1022011100112 its reverse (2110011102201), we get a palindrome (3132022202313).

The spelling of 1022011100112 in words is "one trillion, twenty-two billion, eleven million, one hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 212 271 318 424 542 636 813 848 1084 1272 1626 2168 2544 3252 4336 6504 13008 14363 28726 43089 57452 86178 114904 172356 229808 344712 689424 1482413 2964826 4447239 5929652 8894478 11859304 17788956 23718608 35577912 71155824 78567889 157135778 235703667 314271556 401733923 471407334 628543112 803467846 942814668 1205201769 1257086224 1606935692 1885629336 2410403538 3213871384 3771258672 4820807076 6427742768 9641614152 19283228304 21291897919 42583795838 63875693757 85167591676 127751387514 170335183352 255502775028 340670366704 511005550056 1022011100112