Search a number
-
+
122002210100 = 22524347959233
BaseRepresentation
bin111000110011111100…
…1011111110100110100
3102122220112200102102002
41301213321133310310
53444330031210400
6132014054434432
711546220450431
oct1614771376464
9378815612362
10122002210100
1147817081211
121b78a362a18
13b673c56684
145c95218b88
153290b52ed5
hex1c67e5fd34

122002210100 has 72 divisors (see below), whose sum is σ = 271471791360. Its totient is φ = 47565665280.

The previous prime is 122002210087. The next prime is 122002210139. The reversal of 122002210100 is 1012200221.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2030084 + ... + 2089316.

Almost surely, 2122002210100 is an apocalyptic number.

122002210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122002210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135735895680).

122002210100 is an abundant number, since it is smaller than the sum of its proper divisors (149469581260).

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

122002210100 is a wasteful number, since it uses less digits than its factorization.

122002210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59769 (or 59762 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 122002210100 its reverse (1012200221), we get a palindrome (123014410321).

The spelling of 122002210100 in words is "one hundred twenty-two billion, two million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 215 430 479 860 958 1075 1916 2150 2395 4300 4790 9580 11975 20597 23950 41194 47900 59233 82388 102985 118466 205970 236932 296165 411940 514925 592330 1029850 1184660 1480825 2059700 2547019 2961650 5094038 5923300 10188076 12735095 25470190 28372607 50940380 56745214 63675475 113490428 127350950 141863035 254701900 283726070 567452140 709315175 1220022101 1418630350 2440044202 2837260700 4880088404 6100110505 12200221010 24400442020 30500552525 61001105050 122002210100