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1200102002010 = 232563131211219
BaseRepresentation
bin10001011101101011101…
…001110100110101011010
311020201200011122100102200
4101131223221310311122
5124130302103031020
62315152542511030
7152463434464002
oct21355351646532
94221604570380
101200102002010
11422a6232577a
12174707895476
138922777c822
1442129cbb002
152133db38590
hex1176ba74d5a

1200102002010 has 48 divisors (see below), whose sum is σ = 3120329403360. Its totient is φ = 320020616160.

The previous prime is 1200102001979. The next prime is 1200102002039. The reversal of 1200102002010 is 102002010021.

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 = 1200102001983 and 1200102002001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5576181 + ... + 5787399.

It is an arithmetic number, because the mean of its divisors is an integer number (65006862570).

Almost surely, 21200102002010 is an apocalyptic number.

1200102002010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1200102002010 is an abundant number, since it is smaller than the sum of its proper divisors (1920227401350).

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

1200102002010 is a wasteful number, since it uses less digits than its factorization.

1200102002010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274363 (or 274360 counting only the distinct ones).

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

Adding to 1200102002010 its reverse (102002010021), we get a palindrome (1302104012031).

The spelling of 1200102002010 in words is "one trillion, two hundred billion, one hundred two million, two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 63131 126262 189393 211219 315655 378786 422438 568179 631310 633657 946965 1056095 1136358 1267314 1893930 1900971 2112190 2840895 3168285 3801942 5681790 6336570 9504855 19009710 13334466689 26668933378 40003400067 66672333445 80006800134 120010200201 133344666890 200017000335 240020400402 400034000670 600051001005 1200102002010