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1230202311102 = 23219101211116871
BaseRepresentation
bin10001111001101101110…
…001011001000110111110
311100121100220200111000100
4101321231301121012332
5130123423242423402
62341051440541530
7154610363053122
oct21715561310676
94317326614010
101230202311102
114347a9151486
1217a5083218a6
138c013865ccb
1443783797582
152200147871c
hex11e6dc591be

1230202311102 has 96 divisors (see below), whose sum is σ = 2835014307840. Its totient is φ = 384433560000.

The previous prime is 1230202311101. The next prime is 1230202311109. The reversal of 1230202311102 is 2011132020321.

1230202311102 is a `hidden beast` number, since 1 + 230 + 20 + 2 + 311 + 102 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1230202311101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72909727 + ... + 72926597.

It is an arithmetic number, because the mean of its divisors is an integer number (29531399040).

Almost surely, 21230202311102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1230202311102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1417507153920).

1230202311102 is an abundant number, since it is smaller than the sum of its proper divisors (1604811996738).

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

1230202311102 is a wasteful number, since it uses less digits than its factorization.

1230202311102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19110 (or 19107 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1230202311102 its reverse (2011132020321), we get a palindrome (3241334331423).

The spelling of 1230202311102 in words is "one trillion, two hundred thirty billion, two hundred two million, three hundred eleven thousand, one hundred two".

Divisors: 1 2 3 6 9 18 19 38 57 101 114 171 202 303 342 606 909 1818 1919 2111 3838 4222 5757 6333 11514 12666 16871 17271 18999 33742 34542 37998 40109 50613 80218 101226 120327 151839 213211 240654 303678 320549 360981 426422 639633 641098 721962 961647 1279266 1703971 1918899 1923294 2884941 3407942 3837798 4051009 5111913 5769882 8102018 10223826 12153027 15335739 24306054 30671478 32375449 35614681 36459081 64750898 71229362 72918162 97126347 106844043 194252694 213688086 291379041 320532129 582758082 641064258 676678939 1353357878 2030036817 3597082781 4060073634 6090110451 7194165562 10791248343 12180220902 21582496686 32373745029 64747490058 68344572839 136689145678 205033718517 410067437034 615101155551 1230202311102