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1022131110012 = 2232329669124823
BaseRepresentation
bin11101101111110111100…
…00110000000001111100
310121201022002000022002020
432313323300300001330
5113221311031010022
62101321025000140
7133563235040445
oct16677360600174
93551262008066
101022131110012
11364535401461
12146119783050
13755043345cc
14376857962cc
151b8c464235c
hexedfbc3007c

1022131110012 has 48 divisors (see below), whose sum is σ = 2488770869760. Its totient is φ = 325883280448.

The previous prime is 1022131109981. The next prime is 1022131110017. The reversal of 1022131110012 is 2100111312201.

It is a junction number, because it is equal to n+sod(n) for n = 1022131109973 and 1022131110000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022131110017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8126233 + ... + 8251055.

It is an arithmetic number, because the mean of its divisors is an integer number (51849393120).

Almost surely, 21022131110012 is an apocalyptic number.

1022131110012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1022131110012 is an abundant number, since it is smaller than the sum of its proper divisors (1466639759748).

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

1022131110012 is a wasteful number, since it uses less digits than its factorization.

1022131110012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154522 (or 154520 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 1022131110012 its reverse (2100111312201), we get a palindrome (3122242422213).

The spelling of 1022131110012 in words is "one trillion, twenty-two billion, one hundred thirty-one million, one hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 29669 59338 89007 118676 124823 178014 249646 356028 374469 499292 682387 748938 1364774 1497876 2047161 2729548 2870929 4094322 5741858 8188644 8612787 11483716 17225574 34451148 3703373587 7406747174 11110120761 14813494348 22220241522 44440483044 85177592501 170355185002 255532777503 340710370004 511065555006 1022131110012