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100010101111002 = 23319191510344147
BaseRepresentation
bin10110101111010101101010…
…100011001111100011011010
3111010002212112220100010122000
4112233111222203033203122
5101102031141341023002
6552412001200341430
730031330352154405
oct2657255243174332
9433085486303560
10100010101111002
11299590559013a5
12b272764614876
1343a5bb1a757c4
141a9a72c574d3c
15b8675b4a161c
hex5af56a8cf8da

100010101111002 has 64 divisors (see below), whose sum is σ = 235166583398400. Its totient is φ = 31416785627760.

The previous prime is 100010101110977. The next prime is 100010101111007. The reversal of 100010101111002 is 200111101010001.

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

It is not an unprimeable number, because it can be changed into a prime (100010101111007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 254976108 + ... + 255368039.

It is an arithmetic number, because the mean of its divisors is an integer number (3674477865600).

Almost surely, 2100010101111002 is an apocalyptic number.

100010101111002 is an abundant number, since it is smaller than the sum of its proper divisors (135156482287398).

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

100010101111002 is a wasteful number, since it uses less digits than its factorization.

100010101111002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510344368 (or 510344362 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100010101111002 its reverse (200111101010001), we get a palindrome (300121202121003).

The spelling of 100010101111002 in words is "one hundred trillion, ten billion, one hundred one million, one hundred eleven thousand, two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 191 342 382 513 573 1026 1146 1719 3438 3629 5157 7258 10314 10887 21774 32661 65322 97983 195966 510344147 1020688294 1531032441 3062064882 4593097323 9186194646 9696538793 13779291969 19393077586 27558583938 29089616379 58179232758 87268849137 97475732077 174537698274 194951464154 261806547411 292427196231 523613094822 584854392462 877281588693 1754563177386 1852038909463 2631844766079 3704077818926 5263689532158 5556116728389 11112233456778 16668350185167 33336700370334 50005050555501 100010101111002