Search a number
-
+
122102010200010 = 23537163396732469
BaseRepresentation
bin11011110000110100010110…
…111100011011111111001010
3121000022211122000210222011110
4123300310112330123333022
5112001004404102400020
61111404520014311150
734501402432114161
oct3360642674337712
9530284560728143
10122102010200010
11359a6198624115
12118402301b84b6
135319229aa9729
142221aa99323d8
15e1b2480978e0
hex6f0d16f1bfca

122102010200010 has 64 divisors (see below), whose sum is σ = 300983419612800. Its totient is φ = 31678577908992.

The previous prime is 122102010200003. The next prime is 122102010200039. The reversal of 122102010200010 is 10002010201221.

122102010200010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14770056 + ... + 21502524.

It is an arithmetic number, because the mean of its divisors is an integer number (4702865931450).

Almost surely, 2122102010200010 is an apocalyptic number.

122102010200010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122102010200010 is an abundant number, since it is smaller than the sum of its proper divisors (178881409412790).

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

122102010200010 is a wasteful number, since it uses less digits than its factorization.

122102010200010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6748855.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122102010200010 its reverse (10002010201221), we get a palindrome (132104020401231).

The spelling of 122102010200010 in words is "one hundred twenty-two trillion, one hundred two billion, ten million, two hundred thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 555 1110 16339 32678 49017 81695 98034 163390 245085 490170 604543 1209086 1813629 3022715 3627258 6045430 6732469 9068145 13464938 18136290 20197407 33662345 40394814 67324690 100987035 201974070 249101353 498202706 747304059 1245506765 1494608118 2491013530 3736520295 7473040590 110001810991 220003621982 330005432973 550009054955 660010865946 1100018109910 1650027164865 3300054329730 4070067006667 8140134013334 12210201020001 20350335033335 24420402040002 40700670066670 61051005100005 122102010200010