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110020012200012 = 223431934312563229
BaseRepresentation
bin11001000001000000000111…
…101111101101000001001100
3112102112210212211000212122010
4121001000013233231001030
5103410031441110400022
61025554255034421220
732113453315435155
oct3101000757550114
9472483784025563
10110020012200012
1132068252742272
121040a747591810
134950ac535b125
141d24dd5ac092c
15cabd1658d50c
hex641007bed04c

110020012200012 has 96 divisors (see below), whose sum is σ = 264657229562880. Its totient is φ = 35552177418240.

The previous prime is 110020012200011. The next prime is 110020012200013. The reversal of 110020012200012 is 210002210020011.

It is an interprime number because it is at equal distance from previous prime (110020012200011) and next prime (110020012200013).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (110020012200011) 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 31 ways as a sum of consecutive naturals, for example, 41640814 + ... + 44204042.

It is an arithmetic number, because the mean of its divisors is an integer number (2756846141280).

Almost surely, 2110020012200012 is an apocalyptic number.

110020012200012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110020012200012 is an abundant number, since it is smaller than the sum of its proper divisors (154637217362868).

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

110020012200012 is a wasteful number, since it uses less digits than its factorization.

110020012200012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2563903 (or 2563901 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 110020012200012 its reverse (210002210020011), we get a palindrome (320022222220023).

The spelling of 110020012200012 in words is "one hundred ten trillion, twenty billion, twelve million, two hundred thousand, twelve".

Divisors: 1 2 3 4 6 12 43 86 129 172 193 258 386 431 516 579 772 862 1158 1293 1724 2316 2586 5172 8299 16598 18533 24897 33196 37066 49794 55599 74132 83183 99588 111198 166366 222396 249549 332732 499098 998196 2563229 3576869 5126458 7153738 7689687 10252916 10730607 14307476 15379374 21461214 30758748 42922428 110218847 220437694 330656541 440875388 494703197 661313082 989406394 1104751699 1322626164 1484109591 1978812788 2209503398 2968219182 3314255097 4419006796 5936438364 6628510194 13257020388 21272237471 42544474942 47504323057 63816712413 85088949884 95008646114 127633424826 142512969171 190017292228 213217077907 255266849652 285025938342 426434155814 570051876684 639651233721 852868311628 1279302467442 2558604934884 9168334350001 18336668700002 27505003050003 36673337400004 55010006100006 110020012200012