Search a number
-
+
122002104 = 23371794057
BaseRepresentation
bin1110100010110…
…01101010111000
322111120100102110
413101121222320
5222213031404
620034532320
73011000160
oct721315270
9274510373
10122002104
1162959a94
1234a370a0
131c3782c3
14122bb5a0
15aa9db89
hex7459ab8

122002104 has 64 divisors (see below), whose sum is σ = 350611200. Its totient is φ = 34654464.

The previous prime is 122002103. The next prime is 122002117. The reversal of 122002104 is 401200221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 122002104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122002103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28044 + ... + 32100.

It is an arithmetic number, because the mean of its divisors is an integer number (5478300).

Almost surely, 2122002104 is an apocalyptic number.

122002104 is a gapful number since it is divisible by the number (14) 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 122002104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175305600).

122002104 is an abundant number, since it is smaller than the sum of its proper divisors (228609096).

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

122002104 is a wasteful number, since it uses less digits than its factorization.

122002104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4252 (or 4248 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 122002104 is about 11045.4562603815. The cubic root of 122002104 is about 495.9704175038.

Adding to 122002104 its reverse (401200221), we get a palindrome (523202325).

The spelling of 122002104 in words is "one hundred twenty-two million, two thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 179 358 537 716 1074 1253 1432 2148 2506 3759 4057 4296 5012 7518 8114 10024 12171 15036 16228 24342 28399 30072 32456 48684 56798 85197 97368 113596 170394 227192 340788 681576 726203 1452406 2178609 2904812 4357218 5083421 5809624 8714436 10166842 15250263 17428872 20333684 30500526 40667368 61001052 122002104