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122002111101 = 31331677149057
BaseRepresentation
bin111000110011111100…
…1000111101001111101
3102122220112111101121110
41301213321013221331
53444330020023401
6132014052352233
711546216556003
oct1614771075175
9378815441543
10122002111101
11478170138a2
121b78a315679
13b673c205b0
145c951d0a73
153290b339d6
hex1c67e47a7d

122002111101 has 32 divisors (see below), whose sum is σ = 181101892608. Its totient is φ = 72548536320.

The previous prime is 122002111097. The next prime is 122002111109. The reversal of 122002111101 is 101111200221.

It is not a de Polignac number, because 122002111101 - 22 = 122002111097 is a prime.

It is a super-2 number, since 2×1220021111012 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122002111109) 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 31 ways as a sum of consecutive naturals, for example, 743965 + ... + 893021.

It is an arithmetic number, because the mean of its divisors is an integer number (5659434144).

Almost surely, 2122002111101 is an apocalyptic number.

It is an amenable number.

122002111101 is a deficient number, since it is larger than the sum of its proper divisors (59099781507).

122002111101 is a wasteful number, since it uses less digits than its factorization.

122002111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149781.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 122002111101 its reverse (101111200221), we get a palindrome (223113311322).

The spelling of 122002111101 in words is "one hundred twenty-two billion, two million, one hundred eleven thousand, one hundred one".

Divisors: 1 3 13 31 39 93 403 677 1209 2031 8801 20987 26403 62961 149057 272831 447171 818493 1937741 4620767 5813223 13862301 60069971 100911589 180209913 302734767 1311850657 3128259259 3935551971 9384777777 40667370367 122002111101