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102142062 = 232111921429
BaseRepresentation
bin1100001011010…
…01000001101110
321010012100120100
412011221001232
5202122021222
614045131530
72350123161
oct605510156
9233170510
10102142062
1152724930
122a259ba6
13182137b9
14d7cbad8
158e794ac
hex616906e

102142062 has 72 divisors (see below), whose sum is σ = 254980440. Its totient is φ = 29302560.

The previous prime is 102142037. The next prime is 102142063. The reversal of 102142062 is 260241201.

It is a super-2 number, since 2×1021420622 = 20866001659223688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102142063) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 70764 + ... + 72192.

It is an arithmetic number, because the mean of its divisors is an integer number (3541395).

Almost surely, 2102142062 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102142062, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127490220).

102142062 is an abundant number, since it is smaller than the sum of its proper divisors (152838378).

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

102142062 is a wasteful number, since it uses less digits than its factorization.

102142062 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1486 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 102142062 is about 10106.5356082092. The cubic root of 102142062 is about 467.4496873610.

Adding to 102142062 its reverse (260241201), we get a palindrome (362383263).

The spelling of 102142062 in words is "one hundred two million, one hundred forty-two thousand, sixty-two".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 171 198 209 342 361 418 627 722 1083 1254 1429 1881 2166 2858 3249 3762 3971 4287 6498 7942 8574 11913 12861 15719 23826 25722 27151 31438 35739 47157 54302 71478 81453 94314 141471 162906 244359 282942 298661 488718 515869 597322 895983 1031738 1547607 1791966 2687949 3095214 4642821 5375898 5674559 9285642 11349118 17023677 34047354 51071031 102142062