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102220120 = 2357135993
BaseRepresentation
bin1100001011111…
…00000101011000
321010100022122101
412011330011120
5202132020440
614050533144
72350566562
oct605740530
9233308571
10102220120
1152778542
122a2971b4
13182401a2
14d80c332
158e9269a
hex617c158

102220120 has 32 divisors (see below), whose sum is σ = 233241120. Its totient is φ = 40311040.

The previous prime is 102220087. The next prime is 102220123. The reversal of 102220120 is 21022201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 102220097 and 102220106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102220123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15157 + ... + 20836.

It is an arithmetic number, because the mean of its divisors is an integer number (7288785).

Almost surely, 2102220120 is an apocalyptic number.

102220120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102220120 is an abundant number, since it is smaller than the sum of its proper divisors (131021000).

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

102220120 is a wasteful number, since it uses less digits than its factorization.

102220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36075 (or 36071 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 102220120 is about 10110.3966292129. The cubic root of 102220120 is about 467.5687336385.

Adding to 102220120 its reverse (21022201), we get a palindrome (123242321).

The spelling of 102220120 in words is "one hundred two million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 71 142 284 355 568 710 1420 2840 35993 71986 143972 179965 287944 359930 719860 1439720 2555503 5111006 10222012 12777515 20444024 25555030 51110060 102220120