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1022010200100 = 2232523730690997
BaseRepresentation
bin11101101111101001000…
…11100001000000100100
310121200222122111102212100
432313310203201000210
5113221034102400400
62101301025252100
7133560236236431
oct16676443410044
93550878442770
101022010200100
1136448312900a
121460a5194030
13754b527c496
14376736c0b88
151b8b8c0c100
hexedf48e1024

1022010200100 has 108 divisors (see below), whose sum is σ = 3290013603604. Its totient is φ = 265170205440.

The previous prime is 1022010200087. The next prime is 1022010200149. The reversal of 1022010200100 is 10020102201.

It can be written as a sum of positive squares in 6 ways, for example, as 108789148224 + 913221051876 = 329832^2 + 955626^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15312199 + ... + 15378798.

Almost surely, 21022010200100 is an apocalyptic number.

1022010200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022010200100 is an abundant number, since it is smaller than the sum of its proper divisors (2268003403504).

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

1022010200100 is a wasteful number, since it uses less digits than its factorization.

1022010200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30691054 (or 30691044 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1022010200100 its reverse (10020102201), we get a palindrome (1032030302301).

The spelling of 1022010200100 in words is "one trillion, twenty-two billion, ten million, two hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 37 45 50 60 74 75 90 100 111 148 150 180 185 222 225 300 333 370 444 450 555 666 740 900 925 1110 1332 1665 1850 2220 2775 3330 3700 5550 6660 8325 11100 16650 33300 30690997 61381994 92072991 122763988 153454985 184145982 276218973 306909970 368291964 460364955 552437946 613819940 767274925 920729910 1104875892 1135566889 1381094865 1534549850 1841459820 2271133778 2301824775 2762189730 3069099700 3406700667 4542267556 4603649550 5524379460 5677834445 6813401334 6905474325 9207299100 10220102001 11355668890 13626802668 13810948650 17033503335 20440204002 22711337780 27621897300 28389172225 34067006670 40880408004 51100510005 56778344450 68134013340 85167516675 102201020010 113556688900 170335033350 204402040020 255502550025 340670066700 511005100050 1022010200100