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1020001002201 = 321747673321067
BaseRepresentation
bin11101101011111001100…
…11000010001011011001
310121111210121211121111100
432311330303002023121
5113202430224032301
62100325413222013
7133456401315546
oct16657463021331
93544717747440
101020001002201
11363641a79985
12145824331909
1375254c3469c
143752290dbcd
151b7ec62e286
hexed7ccc22d9

1020001002201 has 48 divisors (see below), whose sum is σ = 1593505315584. Its totient is φ = 626260833792.

The previous prime is 1020001002199. The next prime is 1020001002211. The reversal of 1020001002201 is 1022001000201.

It is not a de Polignac number, because 1020001002201 - 21 = 1020001002199 is a prime.

It is a super-3 number, since 3×10200010022013 (a number of 37 digits) contains 333 as substring.

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 (1020001002211) 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, 48406470 + ... + 48427536.

It is an arithmetic number, because the mean of its divisors is an integer number (33198027408).

Almost surely, 21020001002201 is an apocalyptic number.

It is an amenable number.

1020001002201 is a deficient number, since it is larger than the sum of its proper divisors (573504313383).

1020001002201 is a wasteful number, since it uses less digits than its factorization.

1020001002201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27870 (or 27867 counting only the distinct ones).

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

Adding to 1020001002201 its reverse (1022001000201), we get a palindrome (2042002002402).

The spelling of 1020001002201 in words is "one trillion, twenty billion, one million, two thousand, two hundred one".

Divisors: 1 3 9 17 47 51 141 153 423 799 2397 6733 7191 20199 21067 60597 63201 114461 189603 316451 343383 358139 949353 990149 1030149 1074417 2848059 2970447 3223251 5379667 8911341 16139001 16832533 48417003 50497599 141844111 151492797 425532333 1276596999 2411349887 6666673217 7234049661 20000019651 21702148983 60000058953 113333444689 340000334067 1020001002201