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102200202 = 2321319127181
BaseRepresentation
bin1100001011101…
…11001110001010
321010022022022200
412011313032022
5202130401302
614050301030
72350454526
oct605671612
9233268280
10102200202
1152764585
122a287776
13182340c0
14d804d86
158e8b81c
hex617738a

102200202 has 96 divisors (see below), whose sum is σ = 254392320. Its totient is φ = 29393280.

The previous prime is 102200191. The next prime is 102200227. The reversal of 102200202 is 202002201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 564552 + ... + 564732.

It is an arithmetic number, because the mean of its divisors is an integer number (2649920).

Almost surely, 2102200202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102200202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127196160).

102200202 is an abundant number, since it is smaller than the sum of its proper divisors (152192118).

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

102200202 is a wasteful number, since it uses less digits than its factorization.

102200202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 102200202 is about 10109.4115555753. The cubic root of 102200202 is about 467.5383624519.

Adding to 102200202 its reverse (202002201), we get a palindrome (304202403).

The spelling of 102200202 in words is "one hundred two million, two hundred thousand, two hundred two".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 127 171 181 234 247 254 342 362 381 494 543 741 762 1086 1143 1482 1629 1651 2223 2286 2353 2413 3258 3302 3439 4446 4706 4826 4953 6878 7059 7239 9906 10317 14118 14478 14859 20634 21177 21717 22987 29718 30951 31369 42354 43434 44707 45974 61902 62738 68961 89414 94107 134121 137922 188214 206883 268242 282321 298831 402363 413766 436753 564642 597662 804726 873506 896493 1310259 1792986 2620518 2689479 3930777 5378958 5677789 7861554 11355578 17033367 34066734 51100101 102200202