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122000310102 = 23114376156489
BaseRepresentation
bin111000110011111001…
…0001111111101010110
3102122220102002220002210
41301213302033331112
53444324034410402
6132013550014250
711546165345166
oct1614762177526
9378812086083
10122000310102
1147815aa3770
121b7897a7386
13b67373c908
145c94c825a6
1532908ca06c
hex1c67c8ff56

122000310102 has 64 divisors (see below), whose sum is σ = 272735527680. Its totient is φ = 36061939200.

The previous prime is 122000310083. The next prime is 122000310109. The reversal of 122000310102 is 201013000221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122000310109) 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, 2131474 + ... + 2187962.

It is an arithmetic number, because the mean of its divisors is an integer number (4261492620).

Almost surely, 2122000310102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122000310102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136367763840).

122000310102 is an abundant number, since it is smaller than the sum of its proper divisors (150735217578).

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

122000310102 is a wasteful number, since it uses less digits than its factorization.

122000310102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57309.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 122000310102 its reverse (201013000221), we get a palindrome (323013310323).

The spelling of 122000310102 in words is "one hundred twenty-two billion, three hundred ten thousand, one hundred two".

Divisors: 1 2 3 6 11 22 33 43 66 86 129 258 473 761 946 1419 1522 2283 2838 4566 8371 16742 25113 32723 50226 56489 65446 98169 112978 169467 196338 338934 359953 621379 719906 1079859 1242758 1864137 2159718 2429027 3728274 4858054 7287081 14574162 26719297 42988129 53438594 80157891 85976258 128964387 160315782 257928774 472869419 945738838 1418608257 1848489547 2837216514 3696979094 5545468641 11090937282 20333385017 40666770034 61000155051 122000310102