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1022132131000 = 23531099377359
BaseRepresentation
bin11101101111110111101…
…00101001010010111000
310121201022010221011121121
432313323310221102320
5113221311311143000
62101321102515024
7133563246522211
oct16677364512270
93551263834547
101022132131000
11364535a39552
12146119b95a74
1375504601246
1437685980408
151b8c4794b1a
hexedfbd294b8

1022132131000 has 64 divisors (see below), whose sum is σ = 2413732464000. Its totient is φ = 405101865600.

The previous prime is 1022132130983. The next prime is 1022132131001. The reversal of 1022132131000 is 1312312201.

It is a super-2 number, since 2×10221321310002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022132131001) 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, 4579680 + ... + 4797679.

It is an arithmetic number, because the mean of its divisors is an integer number (37714569750).

Almost surely, 21022132131000 is an apocalyptic number.

1022132131000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022132131000 is an abundant number, since it is smaller than the sum of its proper divisors (1391600333000).

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

1022132131000 is a wasteful number, since it uses less digits than its factorization.

1022132131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9377489 (or 9377475 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1022132131000 its reverse (1312312201), we get a palindrome (1023444443201).

The spelling of 1022132131000 in words is "one trillion, twenty-two billion, one hundred thirty-two million, one hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 109 125 200 218 250 436 500 545 872 1000 1090 2180 2725 4360 5450 10900 13625 21800 27250 54500 109000 9377359 18754718 37509436 46886795 75018872 93773590 187547180 234433975 375094360 468867950 937735900 1022132131 1172169875 1875471800 2044264262 2344339750 4088528524 4688679500 5110660655 8177057048 9377359000 10221321310 20442642620 25553303275 40885285240 51106606550 102213213100 127766516375 204426426200 255533032750 511066065500 1022132131000