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1012112200119 = 331378325713789
BaseRepresentation
bin11101011101001101001…
…01101001000110110111
310120202102211122221110110
432232212211221012313
5113040301210400434
62052542524554103
7133060040516556
oct16564645510667
93522384587413
101012112200119
11360263a51139
121441a23b2933
1374598755c67
1436db4d0dd9d
151b4d9c9b4e9
hexeba69691b7

1012112200119 has 64 divisors (see below), whose sum is σ = 1453639864320. Its totient is φ = 625185423360.

The previous prime is 1012112200117. The next prime is 1012112200129. The reversal of 1012112200119 is 9110022112101.

It is not a de Polignac number, because 1012112200119 - 21 = 1012112200117 is a prime.

It is a super-2 number, since 2×10121122001192 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1012112200095 and 1012112200104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012112200117) 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 63 ways as a sum of consecutive naturals, for example, 73393077 + ... + 73406865.

It is an arithmetic number, because the mean of its divisors is an integer number (22713122880).

Almost surely, 21012112200119 is an apocalyptic number.

1012112200119 is a deficient number, since it is larger than the sum of its proper divisors (441527664201).

1012112200119 is a wasteful number, since it uses less digits than its factorization.

1012112200119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14200.

The product of its (nonzero) digits is 72, while the sum is 21.

The spelling of 1012112200119 in words is "one trillion, twelve billion, one hundred twelve million, two hundred thousand, one hundred nineteen".

Divisors: 1 3 31 37 83 93 111 249 257 771 1147 2573 3071 3441 7719 7967 9213 9509 13789 21331 23901 28527 41367 63993 95201 285603 294779 427459 510193 661261 789247 884337 1144487 1282377 1530579 1983783 2367741 3433461 3543773 10631319 15815983 24466657 35479097 42346019 47447949 73399971 106437291 109856963 127038057 131119601 294133159 329570889 393358803 882399477 1312726589 3938179767 4064707631 9118127929 10882926883 12194122893 27354383787 32648780649 337370733373 1012112200119