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212121000102 = 231143226932941
BaseRepresentation
bin1100010110001101100…
…1011001100010100110
3202021112002002021210010
43011203121121202212
511433410434000402
6241240321111050
721216361515504
oct3054331314246
9667462067703
10212121000102
1181a61857a60
123513aa88486
131700656ab9b
14a3a3bd9674
1557b7646a6c
hex31636598a6

212121000102 has 64 divisors (see below), whose sum is σ = 473795562240. Its totient is φ = 62754652800.

The previous prime is 212121000067. The next prime is 212121000103. The reversal of 212121000102 is 201000121212.

It is a super-3 number, since 3×2121210001023 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212121000103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6422952 + ... + 6455892.

It is an arithmetic number, because the mean of its divisors is an integer number (7403055660).

Almost surely, 2212121000102 is an apocalyptic number.

212121000102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 212121000102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236897781120).

212121000102 is an abundant number, since it is smaller than the sum of its proper divisors (261674562138).

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

212121000102 is a wasteful number, since it uses less digits than its factorization.

212121000102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35269.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 212121000102 its reverse (201000121212), we get a palindrome (413121121314).

The spelling of 212121000102 in words is "two hundred twelve billion, one hundred twenty-one million, one hundred two", and thus it is an aban number.

Divisors: 1 2 3 6 11 22 33 43 66 86 129 258 473 946 1419 2269 2838 4538 6807 13614 24959 32941 49918 65882 74877 97567 98823 149754 195134 197646 292701 362351 585402 724702 1073237 1087053 1416463 2146474 2174106 2832926 3219711 4249389 6439422 8498778 15581093 31162186 46743279 74743129 93486558 149486258 224229387 448458774 822174419 1644348838 2466523257 3213954547 4933046514 6427909094 9641863641 19283727282 35353500017 70707000034 106060500051 212121000102