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1001022020120 = 235191969966863
BaseRepresentation
bin11101001000100011000…
…11111101101000011000
310112200210221112102112002
432210101203331220120
5112400043114120440
62043510235540132
7132215154531353
oct16442143755030
93480727472462
101001022020120
11356592919821
121420082ba648
137351bc45785
143664208729a
151b08b347115
hexe9118fda18

1001022020120 has 64 divisors (see below), whose sum is σ = 2370997440000. Its totient is φ = 379309730688.

The previous prime is 1001022020093. The next prime is 1001022020129. The reversal of 1001022020120 is 210202201001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001022020129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14937809 + ... + 15004671.

It is an arithmetic number, because the mean of its divisors is an integer number (37046835000).

Almost surely, 21001022020120 is an apocalyptic number.

1001022020120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001022020120 is an abundant number, since it is smaller than the sum of its proper divisors (1369975419880).

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

1001022020120 is a wasteful number, since it uses less digits than its factorization.

1001022020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86592 (or 86588 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1001022020120 its reverse (210202201001), we get a palindrome (1211224221121).

The spelling of 1001022020120 in words is "one trillion, one billion, twenty-two million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 19699 39398 66863 78796 98495 133726 157592 196990 267452 334315 374281 393980 534904 668630 748562 787960 1270397 1337260 1497124 1871405 2540794 2674520 2994248 3742810 5081588 6351985 7485620 10163176 12703970 14971240 25407940 50815880 1317134237 2634268474 5268536948 6585671185 10537073896 13171342370 25025550503 26342684740 50051101006 52685369480 100102202012 125127752515 200204404024 250255505030 500511010060 1001022020120