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213000102 = 232723671097
BaseRepresentation
bin11001011001000…
…01111110100110
3112211210112012200
430230201332212
5414012000402
633045155330
75164320360
oct1454417646
9484715180
10213000102
11aa262147
125b3bbb46
1335189583
1420407d30
1513a7621c
hexcb21fa6

213000102 has 96 divisors (see below), whose sum is σ = 559084032. Its totient is φ = 57290112.

The previous prime is 213000097. The next prime is 213000103. The reversal of 213000102 is 201000312.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213000103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 193618 + ... + 194714.

It is an arithmetic number, because the mean of its divisors is an integer number (5823792).

Almost surely, 2213000102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213000102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279542016).

213000102 is an abundant number, since it is smaller than the sum of its proper divisors (346083930).

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

213000102 is a wasteful number, since it uses less digits than its factorization.

213000102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 213000102 is about 14594.5230137884. The cubic root of 213000102 is about 597.2093573118.

Adding to 213000102 its reverse (201000312), we get a palindrome (414000414).

The spelling of 213000102 in words is "two hundred thirteen million, one hundred two", and thus it is an aban number.

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 63 67 69 126 134 138 161 201 207 322 402 414 469 483 603 938 966 1097 1206 1407 1449 1541 2194 2814 2898 3082 3291 4221 4623 6582 7679 8442 9246 9873 10787 13869 15358 19746 21574 23037 25231 27738 32361 46074 50462 64722 69111 73499 75693 97083 138222 146998 151386 176617 194166 220497 227079 353234 440994 454158 514493 529851 661491 1028986 1059702 1322982 1543479 1589553 1690477 3086958 3179106 3380954 4630437 5071431 9260874 10142862 11833339 15214293 23666678 30428586 35500017 71000034 106500051 213000102