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1022110010000 = 2454107955243
BaseRepresentation
bin11101101111110101000…
…00010000101010010000
310121201020121022022022022
432313322200100222100
5113221240130310000
62101314552431012
7133562560510412
oct16677240205220
93551217268268
101022110010000
113645244aa732
121461126a8468
13754ccb575b1
1437682a629b2
151b8c2875585
hexedfa810a90

1022110010000 has 100 divisors (see below), whose sum is σ = 2497760548272. Its totient is φ = 405022608000.

The previous prime is 1022110009997. The next prime is 1022110010027. The reversal of 1022110010000 is 100112201.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 1022110010000.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 592379 + ... + 1547621.

Almost surely, 21022110010000 is an apocalyptic number.

1022110010000 is a gapful number since it is divisible by the number (10) 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 1022110010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248880274136).

1022110010000 is an abundant number, since it is smaller than the sum of its proper divisors (1475650538272).

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

1022110010000 is an equidigital number, since it uses as much as digits as its factorization.

1022110010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955378 (or 955357 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1022110010000 its reverse (100112201), we get a palindrome (1022210122201).

The spelling of 1022110010000 in words is "one trillion, twenty-two billion, one hundred ten million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 107 125 200 214 250 400 428 500 535 625 856 1000 1070 1250 1712 2000 2140 2500 2675 4280 5000 5350 8560 10000 10700 13375 21400 26750 42800 53500 66875 107000 133750 214000 267500 535000 955243 1070000 1910486 3820972 4776215 7641944 9552430 15283888 19104860 23881075 38209720 47762150 76419440 95524300 102211001 119405375 191048600 204422002 238810750 382097200 408844004 477621500 511055005 597026875 817688008 955243000 1022110010 1194053750 1635376016 1910486000 2044220020 2388107500 2555275025 4088440040 4776215000 5110550050 8176880080 9552430000 10221100100 12776375125 20442200200 25552750250 40884400400 51105500500 63881875625 102211001000 127763751250 204422002000 255527502500 511055005000 1022110010000