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1012022120200 = 235271355605611
BaseRepresentation
bin11101011101000010011…
…10000000111100001000
310120202012120011102001011
432232201032000330020
5113040110130321300
62052525550133304
7133054565042110
oct16564116007410
93522176142034
101012022120200
11360218115823
121441781b1234
1374582ba6830
1436da6d82040
151b4d1e05eba
hexeba1380f08

1012022120200 has 96 divisors (see below), whose sum is σ = 2895940272960. Its totient is φ = 320288313600.

The previous prime is 1012022120183. The next prime is 1012022120203. The reversal of 1012022120200 is 20212202101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (1012022120203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27784606 + ... + 27821005.

It is an arithmetic number, because the mean of its divisors is an integer number (30166044510).

Almost surely, 21012022120200 is an apocalyptic number.

1012022120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012022120200 is an abundant number, since it is smaller than the sum of its proper divisors (1883918152760).

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

1012022120200 is a wasteful number, since it uses less digits than its factorization.

1012022120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55605647 (or 55605638 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1012022120200 its reverse (20212202101), we get a palindrome (1032234322301).

The spelling of 1012022120200 in words is "one trillion, twelve billion, twenty-two million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 50 52 56 65 70 91 100 104 130 140 175 182 200 260 280 325 350 364 455 520 650 700 728 910 1300 1400 1820 2275 2600 3640 4550 9100 18200 55605611 111211222 222422444 278028055 389239277 444844888 556056110 722872943 778478554 1112112220 1390140275 1445745886 1556957108 1946196385 2224224440 2780280550 2891491772 3113914216 3614364715 3892392770 5060110601 5560561100 5782983544 7228729430 7784785540 9730981925 10120221202 11121122200 14457458860 15569571080 18071823575 19461963850 20240442404 25300553005 28914917720 36143647150 38923927700 40480884808 50601106010 72287294300 77847855400 101202212020 126502765025 144574588600 202404424040 253005530050 506011060100 1012022120200