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1002002010210 = 232544212518289
BaseRepresentation
bin11101001010010111111…
…10010101000001100010
310112210100020120002012100
432211023332111001202
5112404100003311320
62044151404311230
7132251354362335
oct16451376250142
93483306502170
101002002010210
11356a46015893
12142240542516
1373646c97b76
14366d62a661c
151b0e73c4790
hexe94bf95062

1002002010210 has 48 divisors (see below), whose sum is σ = 2605795540920. Its totient is φ = 267139991040.

The previous prime is 1002002010197. The next prime is 1002002010227. The reversal of 1002002010210 is 120102002001.

1002002010210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 984077888049 + 17924122161 = 992007^2 + 133881^2 .

It is a super-3 number, since 3×10020020102103 (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 a junction number, because it is equal to n+sod(n) for n = 1002002010192 and 1002002010201.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 861255 + ... + 1657034.

Almost surely, 21002002010210 is an apocalyptic number.

1002002010210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1002002010210 is an abundant number, since it is smaller than the sum of its proper divisors (1603793530710).

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

1002002010210 is a wasteful number, since it uses less digits than its factorization.

1002002010210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2522723 (or 2522720 counting only the distinct ones).

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

Adding to 1002002010210 its reverse (120102002001), we get a palindrome (1122104012211).

The spelling of 1002002010210 in words is "one trillion, two billion, two million, ten thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 4421 8842 13263 22105 26526 39789 44210 66315 79578 132630 198945 397890 2518289 5036578 7554867 12591445 15109734 22664601 25182890 37774335 45329202 75548670 113323005 226646010 11133355669 22266711338 33400067007 55666778345 66800134014 100200201021 111333556690 167000335035 200400402042 334000670070 501001005105 1002002010210