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200102210001 = 33231372838311
BaseRepresentation
bin1011101001011100000…
…1010110100111010001
3201010111110121111021000
42322113001112213101
511234302131210001
6231531540452213
720312501502231
oct2722701264721
9633443544230
10200102210001
1177954532081
12329459aa069
1315b3c557875
1499838c9cc1
155312413a86
hex2e970569d1

200102210001 has 64 divisors (see below), whose sum is σ = 312733347840. Its totient is φ = 126207227520.

The previous prime is 200102209949. The next prime is 200102210017. The reversal of 200102210001 is 100012201002.

200102210001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 200102210001 - 27 = 200102209873 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (200102210401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24072636 + ... + 24080946.

It is an arithmetic number, because the mean of its divisors is an integer number (4886458560).

Almost surely, 2200102210001 is an apocalyptic number.

It is an amenable number.

200102210001 is a deficient number, since it is larger than the sum of its proper divisors (112631137839).

200102210001 is a wasteful number, since it uses less digits than its factorization.

200102210001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8763 (or 8757 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 200102210001 its reverse (100012201002), we get a palindrome (300114411003).

The spelling of 200102210001 in words is "two hundred billion, one hundred two million, two hundred ten thousand, one".

Divisors: 1 3 9 23 27 69 137 207 283 411 621 849 1233 2547 3151 3699 6509 7641 8311 9453 19527 24933 28359 38771 58581 74799 85077 116313 175743 191153 224397 348939 573459 891733 1046817 1138607 1720377 2352013 2675199 3415821 5161131 7056039 8025597 10247463 21168117 24076791 26187961 30742389 54096299 63504351 78563883 162288897 235691649 322225781 486866691 707074947 966677343 1460600073 2900032029 7411192963 8700096087 22233578889 66700736667 200102210001