Search a number
-
+
1020112010001 = 327223100573007
BaseRepresentation
bin11101101100000110110…
…10011111101100010001
310121112002100201101120100
432312003122133230101
5113203142133310001
62100344420403013
7133462220005500
oct16660332375421
93545070641510
101020112010001
113636996a9767
12145855546469
1375271c30686
1437533568837
151b80725a586
hexed8369fb11

1020112010001 has 36 divisors (see below), whose sum is σ = 1788590374272. Its totient is φ = 557576745264.

The previous prime is 1020112009999. The next prime is 1020112010051. The reversal of 1020112010001 is 1000102110201.

It is a happy number.

It is not a de Polignac number, because 1020112010001 - 21 = 1020112009999 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 (1020112010051) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 50276361 + ... + 50296646.

It is an arithmetic number, because the mean of its divisors is an integer number (49683065952).

Almost surely, 21020112010001 is an apocalyptic number.

It is an amenable number.

1020112010001 is a deficient number, since it is larger than the sum of its proper divisors (768478364271).

1020112010001 is a wasteful number, since it uses less digits than its factorization.

1020112010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100573050 (or 100573040 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1020112010001 its reverse (1000102110201), we get a palindrome (2020214120202).

The spelling of 1020112010001 in words is "one trillion, twenty billion, one hundred twelve million, ten thousand, one".

Divisors: 1 3 7 9 21 23 49 63 69 147 161 207 441 483 1127 1449 3381 10143 100573007 301719021 704011049 905157063 2112033147 2313179161 4928077343 6336099441 6939537483 14784232029 16192254127 20818612449 44352696087 48576762381 113345778889 145730287143 340037336667 1020112010001