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10100110101100 = 2252239464990901
BaseRepresentation
bin1001001011111001110101…
…1110011000101001101100
31022202120011001001022101121
42102332131132120221230
52310440011141213400
633251532043550324
72061465100225255
oct222763536305154
938676131038347
1010100110101100
11324448392a768
12117157652b3a4
13583589707336
1426cbc2a4db2c
15127ad8b7a21a
hex92f9d798a6c

10100110101100 has 72 divisors (see below), whose sum is σ = 22013919144000. Its totient is φ = 4022230464000.

The previous prime is 10100110101079. The next prime is 10100110101121. The reversal of 10100110101100 is 110101100101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10100110101079) and next prime (10100110101121).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111065650 + ... + 111156550.

It is an arithmetic number, because the mean of its divisors is an integer number (305748877000).

Almost surely, 210100110101100 is an apocalyptic number.

10100110101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100110101100 is an abundant number, since it is smaller than the sum of its proper divisors (11913809042900).

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

10100110101100 is a wasteful number, since it uses less digits than its factorization.

10100110101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95803 (or 95796 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 10100110101100 its reverse (110101100101), we get a palindrome (10210211201201).

Subtracting from 10100110101100 its reverse (110101100101), we obtain a palindrome (9990009000999).

The spelling of 10100110101100 in words is "ten trillion, one hundred billion, one hundred ten million, one hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 239 478 956 1195 2390 4649 4780 5975 9298 11950 18596 23245 23900 46490 90901 92980 116225 181802 232450 363604 454505 464900 909010 1111111 1818020 2222222 2272525 4444444 4545050 5555555 9090100 11111110 21725339 22222220 27777775 43450678 55555550 86901356 108626695 111111100 217253390 422598749 434506780 543133475 845197498 1086266950 1690394996 2112993745 2172533900 4225987490 8451974980 10564968725 21129937450 42259874900 101001101011 202002202022 404004404044 505005505055 1010011010110 2020022020220 2525027525275 5050055050550 10100110101100